Universality Class of Ising Critical States with Long-Range Losses,Physical Review Letters

当前位置： X-MOL 学术 › Phys. Rev. Lett. › 论文详情

Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)

Universality Class of Ising Critical States with Long-Range Losses
Physical Review Letters ( IF 8.1 ) Pub Date : 2022-07-29 , DOI: 10.1103/physrevlett.129.050603
Jamir Marino ₁

Affiliation

We show that spatial resolved dissipation can act on

d

-dimensional spin systems in the Ising universality class by qualitatively modifying the nature of their critical points. We consider power-law decaying spin losses with a Lindbladian spectrum closing at small momenta as

\propto q^{α}

, with

α

a positive tunable exponent directly related to the power-law decay of the spatial profile of losses at long distances,

1 / r^{(α + d)}

. This yields a class of soft modes asymptotically decoupled from dissipation at small momenta, which are responsible for the emergence of a critical scaling regime ascribable to the nonunitary counterpart of the universality class of long-range interacting Ising models. For

α < 1

we find a nonequilibrium critical point ruled by a dynamical field theory described by a Langevin model with coexisting inertial (

\sim \partial_{t}^{2}

) and frictional (

\sim \partial_{t}

) kinetic coefficients, and driven by a gapless Markovian noise with variance

\propto q^{α}

at small momenta. This effective field theory is beyond the Halperin-Hohenberg description of dynamical criticality, and its critical exponents differ from their unitary long-range counterparts. Our Letter lays out perspectives for a revision of universality in driven open systems by employing dark states tailored by programmable dissipation.

中文翻译：