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Effective interaction between guest charges immersed in 2D jellium J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-28 Ladislav Šamaj
The model under study is an infinite 2D jellium of pointlike particles with elementary charge e, interacting via the logarithmic potential and in thermal equilibrium at the inverse temperature β. Two cases of the coupling constant Γ≡βe2 are considered: the Debye–Hückel limit Γ→0 and the free-fermion point Γ=2 . In the most general formulation, two guest particles, the one with charge qe (the valence
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On particular integrability in classical mechanics J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-27 A M Escobar-Ruiz, R Azuaje
In this study the notion of particular integrability in Classical Mechanics, introduced in Turbiner (2013 J. Phys. A: Math. Theor. 46 025203), is revisited within the formalism of symplectic geometry. A particular integral I is a function not necessarily conserved in the whole phase space T∗Q but when restricted to a certain invariant subspace W⊆T∗Q it becomes a Liouville first integral. For natural
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Branching laws for spherical harmonics on superspaces in exceptional cases J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-26 Roman Lávička
It turns out that harmonic analysis on the superspace Rm|2n is quite parallel to the classical theory on the Euclidean space Rm unless the superdimension M:=m−2n is even and non-positive. The underlying symmetry is given by the orthosymplectic superalgebra osp(m|2n) . In this paper, when the symmetry is reduced to osp(m−1|2n) we describe explicitly the corresponding branching laws for spherical harmonics
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Error bounds for Lie group representations in quantum mechanics J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-26 Lauritz van Luijk, Niklas Galke, Alexander Hahn, Daniel Burgarth
We provide state-dependent error bounds for strongly continuous unitary representations of connected Lie groups. That is, we bound the difference of two unitaries applied to a state in terms of the energy with respect to a reference Hamiltonian associated with the representation and a left-invariant metric distance on the group. Our method works for any connected Lie group, and the metric is independent
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Remodelling selection to optimise disease forecasts and policies J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-23 M Gabriela M Gomes, Andrew M Blagborough, Kate E Langwig, Beate Ringwald
Mathematical models are increasingly adopted for setting disease prevention and control targets. As model-informed policies are implemented, however, the inaccuracies of some forecasts become apparent, for example overprediction of infection burdens and intervention impacts. Here, we attribute these discrepancies to methodological limitations in capturing the heterogeneities of real-world systems.
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Comment on ‘Twisted bialgebroids versus bialgebroids from a Drinfeld twist’ J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-22 Zoran Škoda, Martina Stojić
A class of left bialgebroids whose underlying algebra A♯H is a smash product of a bialgebra H with a braided commutative Yetter–Drinfeld H-algebra A has recently been studied in relation to models of field theories on noncommutative spaces. In Borowiec and Pachoł (2017 J. Phys. A: Math. Theor. 50 055205) a proof has been presented that the bialgebroid AF♯HF where HF and AF are the twists of H and A
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The steady state of the boundary-driven multiparticle asymmetric diffusion model J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-21 Rouven Frassek, István M Szécsényi
We consider the multiparticle asymmetric diffusion model (MADM) introduced by Sasamoto and Wadati with integrability preserving reservoirs at the boundaries. In contrast to the open asymmetric simple exclusion process the number of particles allowed per site is unbounded in the MADM. Taking inspiration from the stationary measure in the symmetric case, i.e. the rational limit, we first obtain the length
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The physical interpretation of point interactions in one-dimensional relativistic quantum mechanics J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-21 C A Bonin, José T Lunardi, Luiz A Manzoni
We investigate point interactions (PIs) in one-dimensional relativistic quantum mechanics using a distributional approach based on Schwartz’s theory of distributions. From the properties of the most general covariant distribution describing relativistic PIs (RPIs) we obtain the physical parameters associated with the point potentials that behave as a scalar, a pseudo-scalar and a vector under Lorentz
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Average spectral density of multiparametric Gaussian ensembles of complex matrices J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-21 Mohd Gayas Ansari, Pragya Shukla
A statistical description of part of a many body system often requires a non-Hermitian random matrix ensemble with nature and strength of randomness sensitive to underlying system conditions. For the ensemble to be a good description of the system, the ensemble parameters must be determined from the system parameters. This in turn makes its necessary to analyze a wide range of multi-parametric ensembles
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Vacuum energy of scalar fields on spherical shells with general matching conditions J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-20 Guglielmo Fucci, César Romaniega
In this work we analyze the spectral zeta function for massless scalar fields propagating in a D-dimensional flat space under the influence of a shell potential. The static nature of the potential, and the spherical symmetry, allows us to focus on the spatial part of the field which satisfies a one-dimensional Schrodinger equation endowed with a point potential. The shell potential is defined in terms
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Non-commutative gauge symmetry from strong homotopy algebras J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-20 Vladislav Kupriyanov, Fernando Oliveira, Alexey Sharapov, Dmitri Vassilevich
We explicitly construct an L ∞ algebra that defines U ⋆(1) gauge transformations on a space with an arbitrary noncommutative and even nonassociative star product. Matter fields are naturally incorporated in this scheme as L ∞ modules. Some possibilities for including P ∞ algebras are also discussed.
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Mobility, response and transport in non-equilibrium coarse-grained models J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-19 Gerhard Jung
We investigate two different types of non-Markovian coarse-grained models extracted from a linear, non-equilibrium microscopic system, featuring a tagged particle coupled to underdamped oscillators. The first model is obtained by analytically ‘integrating out’ the oscillators and the second is based on a derivation using projection operator techniques. We observe that these two models behave very differently
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Large deviations at level 2.5 and for trajectories observables of diffusion processes: the missing parts with respect to their random-walks counterparts J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-16 Cécile Monthus
Behind the nice unification provided by the notion of the level 2.5 in the field of large deviations for time-averages over a long Markov trajectory, there are nevertheless very important qualitative differences between the meaning of the level 2.5 for diffusion processes on one hand, and the meaning of the level 2.5 for Markov chains either in discrete-time or in continuous-time on the other hand
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Competitive random sequential adsorption of binary mixtures of disks and discorectangles J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-16 Nikolai Lebovka, Michał Cieśla, Luca Petrone, Nikolai Vygornitskii
The two-dimensional (2D) packings of binary mixtures of disks with diameter d and discorectangles with aspect ratio ɛ (length-to-width ratio ε=l/d ) were studied numerically. The competitive random sequential adsorption (RSA) with simultaneous deposition of particles was considered. The aspect ratio was changed within the range ε=1−10 . In the competitive model, the particle was selected with probability
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Qualitative behaviors of a four-dimensional Lorenz system J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-16 Fuchen Zhang, Fei Xu, Xu Zhang
In this paper, the qualitative behaviors of an important four-dimensional Lorenz system with wild pseudohyperbolic attractor that proposed in (Gonchenko et al 2021 Nonlinearity 34 2018–47) are considered. Here, we prove that the four-dimensional Lorenz system with varying parameters is global bounded according to Lyapunov’s direct method. Furthermore, we provide a collection of global absorbing sets
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Orthosymplectic Z2×Z2Z2×Z2 -graded Lie superalgebras and parastatistics J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-16 N I Stoilova, J Van der Jeugt
A Z2×Z2 -graded Lie superalgebra g is a Z2×Z2 -graded algebra with a bracket [[⋅,⋅]] that satisfies certain graded versions of the symmetry and Jacobi identity. In particular, despite the common terminology, g is not a Lie superalgebra. We construct the most general orthosymplectic Z2×Z2 -graded Lie superalgebra osp(2m1+1,2m2|2n1,2n2) in terms of defining matrices. A special case of this algebra appeared
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Barycentric decomposition for quantum instruments J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-16 Juha-Pekka Pellonpää, Erkka Haapasalo, Roope Uola
We present a barycentric decomposition for quantum instruments whose output space is finite-dimensional and input space is separable. As a special case, we obtain a barycentric decomposition for channels between such spaces and for normalized positive-operator-valued measures in separable Hilbert spaces. This extends the known results by Ali and Chiribella et al on decompositions of quantum measurements
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Existence of a symmetric bipodal phase in the edge-triangle model J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-16 Joe Neeman, Charles Radin, Lorenzo Sadun
In the edge-triangle model with edge density close to 1/2 and triangle density below 1/8 we prove that the unique entropy-maximizing graphon is symmetric bipodal. We also prove that, for any edge density e less than e0=(3−3)/6≈0.2113 and triangle density slightly less than e 3, the entropy-maximizing graphon is not symmetric bipodal. We also discuss the implications for an old idea of Landau for using
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Generating arbitrary analytically solvable two-level systems J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-16 Hongbin Liang
We present a new approach for generating arbitrary analytically solvable two-level systems. This method offers the ability to completely derive all analytically solvable Hamiltonians for any analytical evolutions of two-level systems. To demonstrate the effectiveness of this approach, we reconstruct the Rosen–Zener model and generate several new exact solutions. Using this approach, we present the
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Gaussian diagrammatics from circular ensembles of random matrices J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-13 Marcel Novaes
We uncover a hidden Gaussian ensemble inside each of the three circular ensembles of random matrices, providing novel diagrammatic rules for the calculation of moments. The matrices involved are generic complex for β = 2, complex symmetric for β = 1 and complex self-dual for β = 4, and at the last step their dimension must be set to 1−2/β . As an application, we compute moments of traces of submatrices
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Gravitational Landau levels and the chiral anomaly J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-13 Michael Stone, Porter Howland, JiYoung Kim
Abstract A popular physical picture of the mechanism behind the four-dimensional chiral anomaly is provided by the massless Dirac equation in the presence of constant electric and magnetic background fields. The magnetic field creates highly degenerate Landau levels, the lowest of which is gapless. Any parallel component of the electric field drives a spectral flow in the gapless mode that causes particles
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Improved and formal proposal for device-independent quantum private query * * This is a substantially revised and extended version of the paper [] that recently appeared in the proceedings of Indocrypt 2022. This submitted version includes additional results in sections 1.1, 1.2, 1.4, 3.1, 3.3 and in the appendix. J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-13 Jyotirmoy Basak, Kaushik Chakraborty, Arpita Maitra, Subhamoy Maitra
In this paper, we present a novel quantum private query (QPQ) scheme that is fully device-independent. As far as we know, this is the first QPQ scheme that uses EPR pairs and offers full device independence. Our approach takes into account the self-testing of shared EPR pairs and the self-testing of projective measurement operators in a mistrustful scenario where neither the client nor the server trusts
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Mass of quantum topological excitations and order parameter finite size dependence J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-13 Gesualdo Delfino, Marianna Sorba
We consider the spontaneously broken regime of the O(n) vector model in d=n+1 space-time dimensions, with boundary conditions enforcing the presence of a topological defect line. Comparing theory and finite size dependence of one-point functions observed in recent numerical simulations we argue that the mass of the underlying topological quantum particle becomes infinite when d⩾4 .
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Vaccination, asymptomatics and public health information in COVID-19 J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-12 Michael Grinfeld, Paul A Mulheran
The dynamics of the COVID-19 pandemic is greatly influenced by vaccine quality, as well as by vaccination rates and the behaviour of infected individuals, both of which reflect public health policies. We develop a model for the dynamics of relevant cohorts within a fixed population, taking extreme care to model the reduced social contact of infected individuals in a rigorous self-consistent manner
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A Casimir operator for a Calogero W algebra J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-12 Francisco Correa, Gonzalo Leal, Olaf Lechtenfeld, Ian Marquette
We investigate the nonlinear algebra W 3 generated by the 9 functionally independent permutation-symmetric operators in the three-particle rational quantum Calogero model. Decoupling the center of mass, we pass to a smaller algebra W3′ generated by 7 operators, which fall into a spin-1 and a spin- 32 representation of the conformal sl(2) subalgebra. The commutators of the spin- 32 generators with each
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Duality for a boundary driven asymmetric model of energy transport J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-12 Gioia Carinci, Francesco Casini, Chiara Franceschini
We study the asymmetric brownian energy, a model of heat conduction defined on the one-dimensional finite lattice with open boundaries. The system is shown to be dual to the symmetric inclusion process with absorbing boundaries. The proof relies on a non-local map transformation procedure relating the model to its symmetric version. As an application, we show how the duality relation can be used to
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The decimation scheme for symmetric matrix factorization J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-12 Francesco Camilli, Marc Mézard
Matrix factorization is an inference problem that has acquired importance due to its vast range of applications that go from dictionary learning to recommendation systems and machine learning with deep networks. The study of its fundamental statistical limits represents a true challenge, and despite a decade-long history of efforts in the community, there is still no closed formula able to describe
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Global density equations for a population of actively switching particles J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-09 Paul C Bressloff
There are many processes in cell biology that can be modelled in terms of an actively switching particle. The continuous degrees of freedom of the particle evolve according to a hybrid stochastic differential equation whose drift term depends on a discrete internal or environmental state that switches according to a continuous time Markov chain. Examples include Brownian motion in a randomly switching
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Volcano transition in a system of generalized Kuramoto oscillators with random frustrated interactions J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-09 Seungjae Lee, Yeonsu Jeong, Seung-Woo Son, Katharina Krischer
In a system of heterogeneous (Abelian) Kuramoto oscillators with random or ‘frustrated’ interactions, transitions from states of incoherence to partial synchronization were observed. These so-called volcano transitions are characterized by a change in the shape of a local field distribution and were discussed in connection with an oscillator glass. In this paper, we consider a different class of oscillators
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Force-induced desorption of copolymeric comb polymers J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-08 EJ Janse van Rensburg, Christine E Soteros, Stuart G Whittington
Abstract We investigate a lattice model of comb copolymers that can adsorb at a surface and that are subject to a force causing desorption. The teeth (the comb's side chains) and the backbone of the comb are chemically distinct and can interact differently with the surface. That is, the strength of the surface interaction can be different for the monomers in the teeth and in the backbone. We consider
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Extending third quantization with commuting observables: a dissipative spin-boson model J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-08 Luka Medic, Anton Ramšak, Tomaž Prosen
We consider the spectral and initial value problem for the Lindblad–Gorini–Kossakowski–Sudarshan master equation describing an open quantum system of bosons and spins, where the bosonic parts of the Hamiltonian and Lindblad jump operators are quadratic and linear respectively, while the spins couple to bosons via mutually commuting spin operators. Needless to say, the spin degrees of freedom can be
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Tetrahedron equation and quantum cluster algebras J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-08 Rei Inoue, Atsuo Kuniba, Yuji Terashima
We develop the quantum cluster algebra approach recently introduced by Sun and Yagi to investigate the tetrahedron equation, a three-dimensional generalization of the Yang-Baxter equation. In the case of square quiver, we devise a new realization of quantum Y-variables in terms q-Weyl algebras and obtain a solution that possesses three spectral parameters. It is expressed in various forms, comprising
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Interface fluctuations associated with split Fermi seas J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-08 Harriet Walsh
We consider the asymptotic behaviour of a family of unidimensional lattice fermion models, which are in exact correspondence with certain probability laws on partitions and on unitary matrices. These models exhibit limit shapes, and in the case where the bulk of these shapes are described by analytic functions, the fluctuations around their interfaces have been shown to follow a universal Tracy–Widom
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Quantum holographic surface anomalies J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-08 Nadav Drukker, Omar Shahpo, Maxime Trépanier
Expectation values of surface operators suffer from logarithmic divergences reflecting a conformal anomaly. In a holographic setting, where surface operators can be computed by a minimal surface in AdS, the leading contribution to the anomaly comes from a divergence in the classical action (or area) of the minimal surface. We study the subleading correction to it due to quantum fluctuations of the
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The spindle index from localization J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-08 Matteo Inglese, Dario Martelli, Antonio Pittelli
We present a new supersymmetric index for three-dimensional N=2 gauge theories defined on Σ×S1 , where Σ is a spindle, with twist or anti-twist for the R-symmetry background gauge field. We start examining general supersymmetric backgrounds of Euclidean new minimal supergravity admitting two Killing spinors of opposite R-charges. We then focus on Σ×S1 and demostrate how to realise twist and anti-twist
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On the hierarchy and fine structure of blowups and gradient catastrophes for multidimensional homogeneous Euler equation * J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-08 B G Konopelchenko, G Ortenzi
Blowups of derivatives and gradient catastrophes for the n-dimensional homogeneous Euler equation are discussed. It is shown that, in the case of generic initial data, the blowups exhibit a fine structure in accordance with the admissible ranks of certain matrix generated by the initial data. Blowups form a hierarchy composed by n + 1 levels with the singularity of derivatives given by ∂ui/∂xk∼|δx|−(m+1)/(m+2)
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Flux-conserving directed percolation J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-06 Barto Cucurull, Greg Huber, Kyle Kawagoe, Marc Pradas, Alain Pumir, Michael Wilkinson
We discuss a model for directed percolation in which the flux of material along each bond is a dynamical variable. The model includes a physically significant limiting case where the total flux of material is conserved. We show that the distribution of fluxes is asymptotic to a power law at small fluxes. We give an implicit equation for the exponent, in terms of probabilities characterising site occupations
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On the path integral formulation of Wigner–Dunkl quantum mechanics J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-02 Georg Junker
Feynman’s path integral approach is studied in the framework of the Wigner–Dunkl deformation of quantum mechanics. We start with reviewing some basics from Dunkl theory and investigate the time evolution of a Gaussian wave packet, which exhibits the same dispersion relation as observed in standard quantum mechanics. Feynman’s path integral approach is then extended to Wigner–Dunkl quantum mechanics
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The entanglement criteria based on equiangular tight frames J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-02 Xian Shi
Finite tight frames play an important role in miscellaneous areas, including quantum information theory. Here we apply a class of tight frames, equiangular tight frames, to address the problem of detecting the entanglement of bipartite states. Here we derive some entanglement criteria based on positive operator-valued measurements built from equiangular tight frames. We also present a class of entanglement
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Optimal quantum speed for mixed states J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-02 Ashraf Naderzadeh-ostad, Seyed Javad Akhtarshenas
The question of how fast a quantum state can evolve is considered. Using the definition of squared speed based on the Euclidean distance given in (Brody and Longstaff 2019 Phys. Rev. Res. 2 033127), we present a systematic framework to obtain the optimal speed of a d-dimensional system evolved unitarily under a time-independent Hamiltonian. Among the set of mixed quantum states having the same purity
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The effect of loss/gain and Hamiltonian perturbations of the Ablowitz—Ladik lattice on the recurrence of periodic anomalous waves J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-02 F Coppini, P M Santini
Using the finite gap method, in this paper we extend the recently developed perturbation theory for anomalous waves (AWs) of the periodic nonlinear Schrödinger (NLS) type equations to lattice equations, using as basic model the Ablowitz–Ladik (AL) lattices, integrable discretizations of the focusing and defocusing NLS equations. We study the effect of physically relevant perturbations of the AL equations
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Preface to resurgent asymptotics, Painlevé equations and quantum field theory focus issue J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-01 Ines Aniceto, Alba Grassi, Christopher J Lustri
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Quantum advantage beyond entanglement in Bayesian game theory J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-01 A Lowe
Quantum discord has been utilised in order to find quantum advantage in an extension of the Clauser, Horne, Shimony, and Holt game. By writing the game explicitly as a Bayesian game, the resulting game is modified such the payoff’s are different. Crucially, restrictions are imposed on the measurements that Alice and Bob can perform. By imposing these restrictions, it is found that there exists quantum
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Exact periodic wave solutions of the cubic-quintic Zakharov equation and their evolution with Hamilton energy J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-01 Yuli Guo, Weiguo Zhang, Xiang Li
In this paper, we study the exact periodic wave solutions of the Zakharov equation with cubic and quintic nonlinear terms, and their evolution with the energy of Hamiltonian system corresponding to the amplitudes. Based on the theory of plane dynamical system, we first make a detailed qualitative analysis to the plane dynamical system corresponding to the amplitudes of traveling wave solutions of the
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q-analog qudit Dicke states J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-01 David Raveh, Rafael I Nepomechie
Dicke states are completely symmetric states of multiple qubits (2-level systems), and qudit Dicke states are their d-level generalization. We define here q-deformed qudit Dicke states using the quantum algebra suq(d) . We show that these states can be compactly expressed as a weighted sum over permutations with q-factors involving the so-called inversion number, an important permutation statistic
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Interaction vs inhomogeneity in a periodic TASEP J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-02-01 Beatrice Mina, Alex Paninforni, Alessandro Pelizzola, Marco Pretti
We study the non-equilibrium steady states in a totally asymmetric simple exclusion process with periodic boundary conditions, also incorporating (i) an extra (nearest-neighbour) repulsive interaction and (ii) hopping rates characterized by a smooth spatial inhomogeneity. We make use of a generalized mean-field approach (at the level of nearest-neighbour pair clusters), in combination with kinetic
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Time evolution and the Schrödinger equation on time dependent quantum graphs * * Dedicated to Michael Berry on his forthcoming anniversary. J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-01-31 Uzy Smilansky, Gilad Sofer
The purpose of the present paper is to discuss the time dependent Schrödinger equation on a metric graph with time-dependent edge lengths, and the proper way to pose the problem so that the corresponding time evolution is unitary. We show that the well posedness of the Schrödinger equation can be guaranteed by replacing the standard Kirchhoff Laplacian with a magnetic Schrödinger operator with a harmonic
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Gaussian fluctuations of the elephant random walk with gradually increasing memory J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-01-31 Rafik Aguech, Mohamed El Machkouri
The elephant random walk (ERW) is a discrete-time random walk introduced by Schütz and Trimper (2004) in order to investigate how long-range memory affects the behavior of the random walk. Its particularity is that the next step of the walker depends on its whole past through a parameter p∈[0,1] . In this work, we investigate the validity of the central limit theorem of the ERW when the walker has
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Curvature-driven pathways interpolating between stationary points: the case of the pure spherical 3-spin model J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-01-31 Alessandro Pacco, Giulio Biroli, Valentina Ros
This paper focuses on characterizing the energy profile along pathways connecting different regions of configuration space in the context of a prototypical glass model, the pure spherical p-spin model with p = 3. The study investigates pairs of stationary points (local minima or rank-1 saddles), analyzing the energy profile along geodesic paths and comparing them with ‘perturbed’ pathways correlated
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Large deviations and phase transitions in spectral linear statistics of Gaussian random matrices J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-01-30 Alexander Valov, Baruch Meerson, Pavel V Sasorov
We evaluate, in the large-N limit, the complete probability distribution P(A,m) of the values A of the sum ∑i=1N|λi|m , where λ i ( i=1,2,…,N ) are the eigenvalues of a Gaussian random matrix, and m is a positive real number. Combining the Coulomb gas method with numerical simulations using a matrix variant of the Wang–Landau algorithm, we found that, in the limit of N→∞ , the rate function of P(A
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Row–column duality and combinatorial topological strings J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-01-30 Adrian Padellaro, Rajath Radhakrishnan, Sanjaye Ramgoolam
Integrality properties of partial sums over irreducible representations, along columns of character tables of finite groups, were recently derived using combinatorial topological string theories (CTST). These CTST were based on Dijkgraaf-Witten theories of flat G-bundles for finite groups G in two dimensions, denoted G-TQFTs. We define analogous combinatorial topological strings related to two dimensional
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Not even 6 dB: Gaussian quantum illumination in thermal background J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-01-29 T J Volkoff
In analyses of target detection with Gaussian state transmitters in a thermal background, the thermal occupation is taken to depend on the target reflectivity in a way which simplifies the analysis of the symmetric quantum hypothesis testing problem. However, this assumption precludes comparison of target detection performance between an arbitrary transmitter and a vacuum state transmitter, i.e. ‘detection
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Topology of 2D Dirac operators with variable mass and an application to shallow-water waves J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-01-29 Sylvain Rossi, Alessandro Tarantola
A Dirac operator on the plane with constant (positive) mass is a Chern insulator, sitting in class D of the Kitaev table. Despite its simplicity, this system is topologically ill-behaved: the non-compact Brillouin zone prevents definition of a bulk invariant, and naively placing the model on a manifold with boundary results in violations of the bulk-edge correspondence (BEC). We overcome both issues
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Towards a quadratic Poisson algebra for the subtracted classical monodromy of symmetric space sine-Gordon theories J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-01-29 F Delduc, B Hoare, M Magro
Symmetric space sine-Gordon theories are two-dimensional massive integrable field theories, generalising the sine-Gordon and complex sine-Gordon theories. To study their integrability properties on the real line, it is necessary to introduce a subtracted monodromy matrix. Moreover, since the theories are not ultralocal, a regularisation is required to compute the Poisson algebra for the subtracted
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Preface: stochastic resetting—theory and applications J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-01-25 Anupam Kundu, Shlomi Reuveni
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Subdiffusion in an array of solid obstacles J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-01-24 Eugene B Postnikov, Igor M Sokolov
More than a decade ago, Goychuk reported on a universal behavior of subdiffusive motion (as described by the generalized Langevin equation) in a one-dimensional bounded periodic potential (Goychuk 2009 Phys. Rev. E 80 046125) where the numerical findings show that the long-time behavior of the mean squared displacement is not influenced by the potential, so that the behavior in the potential, under
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Retraction: Yang–Mills theory for bundle gerbes (2006 J. Phys. A: Math. Gen. 39 6039) J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-01-23
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Infinite affine, hyperbolic and Lorentzian Weyl groups with their associated Calogero models J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-01-23 Francisco Correa, Andreas Fring, Octavio Quintana
We propose generalizations of Calogero models that exhibit invariance with respect to the infinite Weyl groups of affine, hyperbolic, and Lorentzian types. Our approach involves deriving closed analytic formulas for the action of the associated Coxeter elements of infinite order acting on arbitrary roots within their respective root spaces. These formulas are then utilized in formulating the new type
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Breakdown of the Meissner effect at the zero exceptional point in non-Hermitian two-band BCS model J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-01-22 Takano Taira
The spontaneous symmetry breaking of a continuous symmetry in complex field theory at the exceptional point (EP) of the parameter space is known to exhibit interesting phenomena, such as the breakdown of a Higgs mechanism. In this work, we derive the complex Ginzburg–Landau model from a non-Hermitian two-band Bardeen–Cooper–Schrieffer model via path integral and investigate its spontaneous symmetry
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On sampling determinantal and Pfaffian point processes on a quantum computer J. Phys. A: Math. Theor. (IF 2.1) Pub Date : 2024-01-22 Rémi Bardenet, Michaël Fanuel, Alexandre Feller
DPPs were introduced by Macchi as a model in quantum optics the 1970s. Since then, they have been widely used as models and subsampling tools in statistics and computer science. Most applications require sampling from a DPP, and given their quantum origin, it is natural to wonder whether sampling a DPP on a quantum computer is easier than on a classical one. We focus here on DPPs over a finite state