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Infinite system of random walkers: winners and losers J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210121
P L KrapivskyWe study an infinite system of particles initially occupying a halfline y ⩽ 0 and undergoing random walks on the entire line. The rightmost particle is called a leader. Surprisingly, every particle except the original leader may never achieve the leadership throughout the evolution. For the equidistant initial configuration, the k th particle attains the leadership with probability e −2 k −1 (ln

Duality defect of the monster CFT J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210121
YingHsuan Lin and ShuHeng ShaoWe show that the fermionization of the Monster CFT with respect to ##IMG## [http://ej.iop.org/images/17518121/54/6/065201/aabd69eieqn6.gif] {${\mathbb{Z}}_{2A}$} is the tensor product of a free fermion and the Baby Monster CFT. The chiral fermion parity of the free fermion implies that the Monster CFT is selfdual under the ##IMG## [http://ej.iop.org/images/17518121/54/6/065201/aabd69eieqn7.gif]

SU(1, 1) covariant s parametrized maps J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210121
Andrei B Klimov, Ulrich Seyfarth, Hubert de Guise and Luis L SánchezSotoWe propose a practical recipe to compute the s parametrized maps for systems with SU(1, 1) symmetry using a connection between the Q and P symbols through the action of an operator invariant under the group. This establishes equivalence relations between s parametrized SU(1, 1)covariant maps. The particular case of the selfdual (Wigner) phasespace functions, defined on the upper sheet of the

Propagator for a driven Brownian particle in step potentials J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210121
Matthias Uhl, Volker Weissmann and Udo SeifertAlthough driven Brownian particles are ubiquitous in stochastic dynamics and often serve as paradigmatic model systems for many aspects of stochastic thermodynamics, fully analytically solvable models are few and far between. In this paper, we introduce an iterative calculation scheme, similar to the method of images in electrostatics, that enables one to obtain the propagator if the potential consists

Confined random motion with Laplace and Linnik statistics J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210120
Aleksander Stanislavsky and Aleksander WeronIn this paper we reveal that the conjugate property of Bernstein functions connects the tempered subdiffusion with the confinement. The interpretation of anomalous diffusion tending to the confinement is that diffusive motion, accompanied by multipletrapping events with infinite mean sojourn time, is transformed into pure jumps, restricted in confined environment. This model, just like the tempered

An analytic approach to maximize entropy for computing equilibrium densities of k mers on linear chains J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210119
A I Ávila, M I GonzálezFlores and W LebrechtThe irreversible adsorption of polyatomic (or k mers) on linear chains is related to phenomena such as the adsorption of colloids, long molecules, and proteins on solid substrates. This process generates jammed or blocked final states. In the case of k = 2, the binomial coefficient computes the number of final states. By the canonical ensemble, the Boltzmann–Gibbs–Shannon entropy function is obtained

Discrete Darboux system with selfconsistent sources and its symmetric reduction J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210119
Adam Doliwa, Runliang Lin and Zhe WangThe discrete noncommutative Darboux system of equations with selfconsistent sources is constructed, utilizing both the vectorial fundamental (binary Darboux) transformation and the method of additional independent variables. Then the symmetric reduction of discrete Darboux equations with sources is presented. In order to provide a simpler version of the resulting equations we introduce the τ / σ

Determinant formulas for the fivevertex model J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210115
Ivan N Burenev and Andrei G PronkoWe consider the fivevertex model on a finite square lattice with fixed boundary conditions such that the configurations of the model are in a onetoone correspondence with the boxed plane partitions (3D Young diagrams which fit into a box of given size). The partition function of an inhomogeneous model is given in terms of a determinant. For the homogeneous model, it can be given in terms of a Hankel

Quantum (matrix) geometry and quasicoherent states J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210114
Harold C SteinackerA general framework is described which associates geometrical structures to any set of D finitedimensional Hermitian matrices X a , a = 1, …, D . This framework generalizes and systematizes the wellknown examples of fuzzy spaces, and allows to extract the underlying classical space without requiring the limit of large matrices or representation theory. The approach is based on the previously introduced

One step replica symmetry breaking and overlaps between two temperatures J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210113
Bernard Derrida and Peter MottishawWe obtain an exact analytic expression for the average distribution, in the thermodynamic limit, of overlaps between two copies of the same random energy model (REM) at different temperatures. We quantify the nonself averaging effects and provide an exact approach to the computation of the fluctuations in the distribution of overlaps in the thermodynamic limit. We show that the overlap probabilities

Modelling the deceleration of COVID19 spreading J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210113
Giacomo Barzon, Karan Kabbur Hanumanthappa Manjunatha, Wolfgang Rugel, Enzo Orlandini and Marco BaiesiBy characterizing the time evolution of COVID19 in term of its ‘velocity’ (log of the new cases per day) and its rate of variation, or ‘acceleration’, we show that in many countries there has been a deceleration even before lockdowns were issued. This feature, possibly due to the increase of social awareness, can be rationalized by a susceptiblehiddeninfectedrecovered model introduced by Barnes

Firstorder quantum phase transitions as condensations in the space of states J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210113
Massimo Ostilli and Carlo PresillaWe demonstrate that a large class of firstorder quantum phase transitions, namely, transitions in which the ground state energy per particle is continuous but its first order derivative has a jump discontinuity, can be described as a condensation in the space of states. Given a system having Hamiltonian H = K + gV , where K and V are two non commuting operators acting on the space of states ##IMG##

Statistics of the first passage area functional for an Ornstein–Uhlenbeck process J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210113
Michael J Kearney and Richard J MartinWe consider the area functional defined by the integral of an Ornstein–Uhlenbeck process which starts from a given value and ends at the time it first reaches zero (its equilibrium level). Exact results are presented for the mean, variance, skewness and kurtosis of the underlying area probability distribution, together with the covariance and correlation between the area and the first passage time

Protecting quantum correlations in presence of generalised amplitude damping channel: the twoqubit case J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210113
Suchetana Goswami, Sibasish Ghosh and A S MajumdarAny kind of quantum resource useful in different information processing tasks is vulnerable to several types of environmental noise. Here we study the behaviour of quantum correlations such as entanglement and steering in twoqubit systems under the application of the generalised amplitude damping channel and propose two protocols towards preserving them under this type of noise. First, we employ the

An algebraic approach to discrete time integrability J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210113
Anastasia Doikou and Iain FindlayWe propose the systematic construction of classical and quantum twodimensional spacetime lattices primarily based on algebraic considerations, i.e. on the existence of associated r matrices and underlying spatial and temporal classical and quantum algebras. This is a novel construction that leads to the derivation of fully discrete integrable systems governed by sets of consistent integrable nonlinear

Integrability and scattering of the boson field theory on a lattice J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210113
Manuel Campos, Esperanza López and Germán SierraA free boson on a lattice is the simplest field theory one can think of. Its partition function can be easily computed in momentum space. However, this straightforward solution hides its integrability properties. Here, we use the methods of exactly solvable models, that are currently applied to spin systems, to a massless and massive free boson on a 2D lattice. The Boltzmann weights of the model are

Structural diversity of random aggregates of identical spheres J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210113
Marc BlétryRandom aggregates of hard spheres can be formed either by aggregation or by dynamic reorganization. The resulting two broad families of aggregates present different geometrical structures that have not been studied in a systematic fashion to this day. We investigate various structural indicators (contact coordination number, Delaunay tetrahedra, Voronoi polyhedra, pair distribution functions,…) of

Selfsimilarity of diffusions’ first passage times J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210113
Iddo EliazarConsidering a general diffusion process that runs over the nonnegative halfline, this paper addresses the firstpassage time (FPT) to the origin: the time it takes the process to get from an arbitrary fixed positive level to the level zero. Inspired by the special features of Brownian motion, three types of FPT selfsimilarity are introduced: (i) stochastic, which holds in ‘real space’; (ii) Laplace

Weyl–Wigner representation of canonical equilibrium states J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210113
F NicacioThe Weyl–Wigner representations for canonical thermal equilibrium quantum states are obtained for the whole class of quadratic Hamiltonians through a Wick rotation of the Weyl–Wigner symbols of Heisenberg and metaplectic operators. The behavior of classical structures inherently associated to these unitaries is described under the Wick mapping, unveiling that a thermal equilibrium state is fully determined

Unitary matrix decompositions for optimal and modular linear optics architectures J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210107
Shreya P Kumar and Ish DhandWe introduce procedures for decomposing N × N unitary matrices into smaller M × M unitary matrices. Our procedures enable designing modular and optimal architectures for implementing arbitrary discrete unitary transformations on light. Such architectures rely on systematically combining the M mode linear optical interferometers together to implement a given N mode transformation. Thus this work enables

Integrable discretizations for classical Boussinesq system J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210106
Wenhua Huang, Lingling Xue and Q P LiuIn this paper, we propose and study integrable discrete systems related to the classical Boussinesq system. Based on elementary and binary Darboux transformations and associated Bäcklund transformations, both fulldiscrete systems and semidiscrete systems are constructed. The discrete systems obtained from elementary Darboux transformation are shown to be the discrete systems of relativistic Toda

ODE/IM correspondence for affine Lie algebras: a numerical approach J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210106
Katsushi Ito, Takayasu Kondo, Kohei Kuroda and Hongfei ShuWe study numerically the ODE/IM correspondence for untwisted affine Lie algebras associated with simple Lie algebras including exceptional type. We consider the linear problem obtained from the massless limit of that of the modified affine Toda field equation. We found that the Q functions in integrable models are expressed as the inner product of the solution of the dual linear problem and the subdominant

Remarks on dispersionimproved shallow water equations with uneven bottom J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210106
Didier ClamondIt is shown that asymptotically consistent modifications of (Boussinesqlike) shallow water approximations, in order to improve their dispersive properties, can fail for uneven bottoms (i.e., the dispersion is actually not improved). It is also shown that these modifications can lead to illposed equations when the water depth is not constant. These drawbacks are illustrated with the (fully nonlinear

Exact firstpassage time distributions for three random diffusivity models J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210106
Denis S Grebenkov, Vittoria Sposini, Ralf Metzler, Gleb Oshanin and Flavio SenoWe study the extremal properties of a stochastic process x t defined by a Langevin equation ##IMG## [http://ej.iop.org/images/17518121/54/4/04LT01/aabd42cieqn1.gif] {${\dot {x}}_{t}=\sqrt{2{D}_{0}V\left({B}_{t}\right)}\enspace {\xi }_{t}$} , where ξ t is a Gaussian white noise with zero mean, D 0 is a constant scale factor, and V ( B t ) is a stochastic ‘diffusivity’ (noise strength), which itself

Trigonometric ##IMG## [http://ej.iop.org/images/17518121/54/2/024002/toc_aabccf8ieqn1.gif] {$\vee $} systems and solutions of WDVV equations J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210106
Maali Alkadhem and Misha FeiginWe consider a class of trigonometric solutions of Witten–Dijkgraaf–Verlinde–Verlinde equations determined by collections of vectors with multiplicities. We show that such solutions can be restricted to special subspaces to produce new solutions of the same type. We find new solutions given by restrictions of root systems, as well as examples which are not of this form. Further, we consider a closely

Scattering data and bound states of a squeezed doublelayer structure J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20210101
Alexander V Zolotaryuk and Yaroslav ZolotaryukA heterostructure composed of two parallel homogeneous layers is studied in the limit as their widths l 1 and l 2 , and the distance between them r shrinks to zero simultaneously. The problem is investigated in one dimension and the squeezing potential in the Schrödinger equation is given by the strengths V 1 and V 2 depending on the layer thickness. A whole class of functions V 1 ( l 1 ) and V 2 (

Contact network models matching the dynamics of the COVID19 spreading J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201231
Matúš MedoWe study the epidemic spreading on spatial networks where the probability that two nodes are connected decays with their distance as a power law. As the exponent of the distance dependence grows, model networks smoothly transition from the random network limit to the regular lattice limit. We show that despite keeping the average number of contacts constant, the increasing exponent hampers the epidemic

Phase space theory for open quantum systems with local and collective dissipative processes J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201231
Konrad Merkel, Valentin Link, Kimmo Luoma and Walter T StrunzIn this article we investigate driven dissipative quantum dynamics of an ensemble of twolevel systems given by a Markovian master equation with collective and local dissipators. Exploiting the permutation symmetry in our model, we employ a phase space approach for the solution of this equation in terms of a diagonal representation with respect to certain generalized spin coherent states. Remarkably

Exponentially distributed noise—its correlation function and its effect on nonlinear dynamics J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201231
George N Farah and Benjamin LindnerWe propose a simple Langevin equation as a generator for a noise process with Laplacedistributed values (pure exponential decays for both positive and negative values of the noise). We calculate explicit expressions for the correlation function, the noise intensity, and the correlation time of this noise process and formulate a scaled version of the generating Langevin equation such that correlation

Various formulations of inequivalent Leggett–Garg inequalities J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201231
Swati Kumari and A K PanIn twoparty, twoinput and twooutput measurement scenario only relevant Bell’s inequality is the Clauser–Horne–Shimony–Holt (CHSH) form. They also provide the necessary and sufficient conditions (NSCs) for local realism. Any other form, such as, Clauser–Horne and Wigner forms reduce to the CHSH one. The standard Leggett–Garg inequalities, proposed for testing incompatibility between macrorealism

Convex resource theory of nonMarkovianity J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201231
Samyadeb Bhattacharya, Bihalan Bhattacharya and A S MajumdarWe establish a convex resource theory of nonMarkovianity inducing information backflow under the constraint of small time intervals within the temporal evolution. We identify the free operations and a generalized bonafide measure of nonMarkovian information backflow. The framework satisfies the basic properties of a consistent resource theory. The proposed resource quantifier is lower bounded by

Alternative quantisation condition for wavepacket dynamics in a hyperbolic double well J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201231
D Kufel, H Chomet and C Figueira de Morisson FariaWe propose an analytical approach for computing the eigenspectrum and corresponding eigenstates of a hyperbolic double well potential of arbitrary height or width, which goes beyond the usual techniques applied to quasiexactly solvable models. We map the timeindependent Schrödinger equation onto the Heun confluent differential equation, which is solved by using an infinite power series. The coefficients

Rydberg multidimensional states: Rényi and Shannon entropies in momentum space J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201231
A I Aptekarev, E D Belega and J S DehesaIn this work the momentum spreading of a multidimensional hydrogenic system in highly excited (Rydberg) states is quantified by means of the Rényi and Shannon entropies of its momentum probability density. These quantities, which rest at the core of numerous fields from atomic and molecular physics to quantum technologies, are determined by means of a methodology based on the strong degreeasymptotics

SU(21) supersymmetric spinning models of chiral superfields J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201231
Stepan SidorovWe construct SU(21), d = 1 supersymmetric models based on the coupling of dynamical and semidynamical (spin) multiplets, where the interaction term of both multiplets is defined on the generalized chiral superspace. The dynamical multiplet is defined as a chiral multiplet ( 2 , 4 , 2 ), while the semidynamical multiplet is associated with a multiplet ( 4 , 4 , 0 ) of the mirror type.

Phase transition in random noncommutative geometries J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201231
Masoud Khalkhali and Nathan PagliaroliWe present an analytic proof of the existence of phase transition in the large N limit of certain random noncommutative geometries. These geometries can be expressed as ensembles of Dirac operators. When they reduce to single matrix ensembles, one can apply the Coulomb gas method to find the empirical spectral distribution. We elaborate on the nature of the large N spectral distribution of the Dirac

Reply to “Comment on ‘Fluctuationdominated phase ordering at a mixed order transition’” J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201225
Mustansir Barma, Satya N Majumdar and David MukamelGodrèche, in Comment on ‘Fluctuation dominated phase ordering at a mixed order transition’ [ J. Phys. A: Math. Theor. the J. Phys. A reference to the Comment by C. Godreche], has commented on our recent paper Fluctuation dominated phase ordering at a mixed order transition (2019 J. Phys. A: Math. Theor. 52 254001). This comment concerns the prefactor of the cusplike smallargument singularity of the

Active gating: rocking diffusion channels J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201223
Tirthankar Banerjee and Christian MaesWhen the contacts of an open system flip between different reservoirs, the resulting nonequilibrium shows increased dynamical activity. We investigate such active gating for onedimensional symmetric (SEP) and asymmetric (ASEP) exclusion models where the left/right boundary rates for entrance and exit of particles are exchanged at random times. Such rocking makes simple exclusion processes spatially

Index of a matrix, complex logarithms, and multidimensional Fresnel integrals J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201222
Pierpaolo VivoWe critically discuss the problem of finding the λ index ##IMG## [http://ej.iop.org/images/17518121/54/2/025002/aabccf9ieqn2.gif] {$\mathcal{N}\left(\lambda \right)\in \left[0,1,\dots ,N\right]$} of a real symmetric matrix M , defined as the number of eigenvalues smaller than λ , using the entries of M as only input. We show that a widely used formula ##IMG## [http://ej.iop.org/images/17518121/

Role of interactions in a closed quenched driven diffusive system J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201222
Bipasha Pal and Arvind Kumar GuptaWe study the nonequilibrium steady states in a closed system consisting of interacting particles obeying exclusion principle with quenched hopping rate. Cluster mean field approach is utilized to theoretically analyze the system dynamics in terms of phase diagram, density profiles, current, etc, with respect to interaction energy E . It turns out that on increasing the interaction energy beyond a

Tripartite genuinely entangled states from entanglementbreaking subspaces J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201222
Yize Sun, Lin Chen and LiJun ZhaoThe determination of genuine entanglement is a central problem in quantum information processing. We investigate the tripartite state as the tensor product of two bipartite entangled states by merging two systems. We show that the tripartite state is a genuinely entangled (GE) state when the range of both bipartite states are entanglementbreaking (EB) subspaces. We further investigate the tripartite

BLUES iteration applied to nonlinear ordinary differential equations for wave propagation and heat transfer J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201222
Jonas Berx and Joseph O IndekeuThe iteration sequence based on the BLUES (Beyond Linear Use of Equation Superposition) function method for calculating analytic approximants to solutions of nonlinear ordinary differential equations with sources is elaborated upon. Diverse problems in physics are studied and approximate analytic solutions are found. We first treat a damped driven nonlinear oscillator and show that the method can correctly

Aspects of CFTs on real projective space J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201218
Simone Giombi, Himanshu Khanchandani and Xinan ZhouWe present an analytic study of conformal field theories on the real projective space ##IMG## [http://ej.iop.org/images/17518121/54/2/024003/aabcf59ieqn7.gif] {$\mathbb{R}{\mathbb{P}}^{d}$} , focusing on the twopoint functions of scalar operators. Due to the partially broken conformal symmetry, these are nontrivial functions of a conformal cross ratio and are constrained to obey a crossing equation

Entanglement and fermionization of two distinguishable fermions in a strict and non strict onedimensional space J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201218
Eloisa Cuestas, Martín D Jiménez and Ana P MajteyThe fermionization regime and entanglement correlations of two distinguishable harmonically confined fermions interacting via a zerorange potential is addressed. We present two alternative representations of the ground state that we associate with two different types of onedimensional spaces. These spaces, in turn, induce different correlations between particles and thus require a suitable definition

A new route toward orthogonality J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201218
Andrea ValdsHernández and Francisco J SevillaWe revisit the problem of determining conditions under which a pure state, that evolves under an arbitrary unitary transformation, reaches an orthogonal state in a finite amount of the transformation parameter. Simple geometric considerations disclose the existence of a fundamental limit for the minimal amount required, providing, in particular, an intuitive hint of the Mandelstam–Tamm bound. The geometric

Asymptotic behavior of Toeplitz determinants with a delta function singularity J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201218
Vanja Marić and Fabio FranchiniWe find the asymptotic behaviors of Toeplitz determinants with symbols which are a sum of two contributions: one analytical and nonzero function in an annulus around the unit circle, and the other proportional to a Dirac delta function. The formulas are found by using the Wiener–Hopf procedure. The determinants of this type are found in computing the spincorrelation functions in lowlying excited

Stochastic resetting with stochastic returns using external trap J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201218
Deepak Gupta, Carlos A Plata, Anupam Kundu and Arnab PalIn the past few years, stochastic resetting has become a subject of immense interest. Most of the theoretical studies so far focused on instantaneous resetting which is, however, a major impediment to practical realisation or experimental verification in the field. This is because in the real world, taking a particle from one place to another requires finite time and thus a generalization of the existing

Driven tracer dynamics in a one dimensional quiescent bath J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201218
Asaf Miron and David MukamelThe dynamics of a driven tracer in a quiescent bath subject to geometric confinement models a broad range of phenomena. We explore this dynamics in a 1D lattice model, where geometric confinement is tuned by varying the rate of particle overtaking. Previous studies of the model’s stationary properties on a ring of L sites have revealed a phase in which the bath density profile extends over an ##IMG##

Multipartite entanglement states of higher uniformity J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201216
Shanqi Pang, Xiao Zhang, Jiao Du and Tianyin WangIn this study, we provide a positive answer to the problem of whether N qubit pure quantum states exist in which all k body reduced density are maximally mixed for ##IMG## [http://ej.iop.org/images/17518121/54/1/015305/aabc9a4ieqn1.gif] {$k{< }\lfloor \frac{N}{2}\rfloor $} in [1]. In addition, for k ⩾ 4 and any d , there exists an integer N 0 ( k , d ) such that whenever N ⩾ N 0 ( k , d ), we can

Empirical anomaly measure for finitevariance processes J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201216
Katarzyna Maraj, Dawid Szarek, Grzegorz Sikora and Agnieszka WyłomańskaAnomalous diffusion phenomena are observed in many areas of interest. They manifest themselves in deviations from the laws of Brownian motion (BM), e.g. in the nonlinear growth (mostly powerlaw) in time of the ensemble average mean squared displacement (MSD). When we analyze the reallife data in the context of anomalous diffusion, the primary problem is the proper identification of the type of the

Boundary effects on symmetry resolved entanglement J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201216
Riccarda Bonsignori and Pasquale CalabreseWe study the symmetry resolved entanglement entropies in onedimensional systems with boundaries. We provide some general results for conformal invariant theories and then move to a semiinfinite chain of free fermions. We consider both an interval starting from the boundary and away from it. We derive exact formulas for the charged and symmetry resolved entropies based on theorems and conjectures

Conserved quantities, continuation and compactly supported solutions of some shallow water models J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201216
Igor Leite FreireA proof that strong solutions of the Dullin–Gottwald–Holm equation vanishing on an open set of the (1 + 1) spacetime are identically zero is presented. In order to do it, we use a geometrical approach based on the conserved quantities of the equation to prove a unique continuation result for its solutions. We show that this idea can be applied to a large class of equations of the Camassa–Holm type

Second largest eigenpair statistics for sparse graphs J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201216
Vito A R Susca, Pierpaolo Vivo and Reimer KühnWe develop a formalism to compute the statistics of the second largest eigenpair of weighted sparse graphs with N ≫ 1 nodes, finite mean connectivity and bounded maximal degree, in cases where the top eigenpair statistics is known. The problem can be cast in terms of optimisation of a quadratic form on the sphere with a fictitious temperature, after a suitable deflation of the original matrix model

Polyanalytic reproducing Kernels on the quantized annulus J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201215
Nizar Demni and Zouhair MouaynWhile dealing with the constantstrength magnetic Laplacian on the annulus, we complete Peetre’s work. In particular, the eigenspaces associated with its discrete spectrum true turns out to be polyanalytic spaces with respect to the invariant Cauchy–Riemann operator, and we write down explicit formulas for their reproducing kernels. When the magnetic field strength is an integer, we compute the limits

Fourth Painlevé and Ermakov equations: quantum invariants and new exactlysolvable timedependent Hamiltonians J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201215
K Zelaya, I Marquette and V HussinIn this work, we introduce a new realization of exactlysolvable timedependent Hamiltonians based on the solutions of the fourth Painlevé and the Ermakov equations. The latter is achieved by introducing a shapeinvariant condition between an unknown quantum invariant and a set of thirdorder intertwining operators with timedependent coefficients. New quantum invariants are constructed after adding

Quantum engine based on general measurements J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201215
Naghi BehzadiIn this work, we introduce a threestroke quantum engine with a singlequbit working substance whose cycle consists of two strokes arise due to performing two distinct general quantum measurements and it is completed by thermalization through contact with a finite temperature thermal reservoir. It is demonstrated that energy is imported into the engine by first measurement channel and work (useful

An exact power series representation of the Baker–Campbell–Hausdorff formula J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201215
Jordan C Moodie and M W LongAn exact representation of the Baker–Campbell–Hausdorff formula as a power series in just one of the two variables is constructed. Closed form coefficients of this series are found in terms of hyperbolic functions, which contain all of the dependence on the second variable. It is argued that this exact series may then be truncated and be expected to give a good approximation to the full expansion if

Polynomial algebras from su(3) and a quadratically superintegrable model on the two sphere J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201215
F Correa, M A del Olmo, I Marquette and J NegroConstruction of superintegrable systems based on Lie algebras have been introduced over the years. However, these approaches depend on explicit realisations, for instance as a differential operators, of the underlying Lie algebra. This is also the case for the construction of their related symmetry algebra which take usually the form of a finitely generated quadratic algebra. These algebras often display

Average skew informationbased coherence and its typicality for random quantum states J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201209
Zhaoqi Wu, Lin Zhang, ShaoMing Fei and Xianqing LiJostWe study the average skew informationbased coherence for both random pure and mixed states. The explicit formulae of the average skew informationbased coherence are derived and shown to be the functions of the dimension N of the state space. We demonstrate that as N approaches to infinity, the average coherence is 1 for random pure states, and a positive constant less than 1/2 for random mixed states

Diffraction of Wigner functions J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201209
Stephen C Creagh, Martin Sieber, Gabriele Gradoni and Gregor TannerWe describe the contribution of diffractive orbits to semiclassical approximations of Wigner function propagators. These contributions are based on diffractively scattered rays used in the geometrical theory of diffraction (GTD). They provide an extension of wellestablished approximations of Wignerfunction propagators based on rays that propagate by specular reflection and refraction. The wider aim

The statistics of spectral shifts due to finite rank perturbations J. Phys. A: Math. Theor. (IF 1.996) Pub Date : 20201209
Barbara Dietz, Holger Schanz, Uzy Smilansky and Hans WeidenmüllerThis article is dedicated to the following class of problems. Start with an N × N Hermitian matrix randomly picked from a matrix ensemble—the reference matrix. Applying a rank t perturbation to it, with t taking the values 1 ⩽ t ⩽ N , we study the difference between the spectra of the perturbed and the reference matrices as a function of t and its dependence on the underlying universality class of