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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 qα, 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 (t2) and frictional (t) kinetic coefficients, and driven by a gapless Markovian noise with variance qα 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:

具有长期损失的 Ising 临界状态的普遍性类

我们表明空间分辨的耗散可以作用于d伊辛普适性类中的维自旋系统,通过定性修改其临界点的性质。我们考虑幂律衰减自旋损耗,Lindbladian 谱在小动量处闭合为qα, 和α与远距离损耗空间分布的幂律衰减直接相关的正可调指数,1/r(α+d). 这产生了一类与小动量耗散渐近解耦的软模式,这导致了关键尺度机制的出现,该机制归因于长程相互作用伊辛模型的普遍性类的非统一对应物。为了α<1我们发现了一个由具有共存惯性的朗之万模型描述的动态场论统治的非平衡临界点(2) 和摩擦 () 动力学系数,并由具有方差的无间隙马尔可夫噪声驱动qα在很小的时候。这种有效的场论超出了 Halperin-Hohenberg 对动态临界性的描述,它的临界指数不同于它们的单一长程对应物。我们的信函提出了通过采用可编程耗散定制的暗状态来修订驱动开放系统的普遍性的观点。
更新日期:2022-07-29
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