耗散引起的拓扑状态的紊乱:一种不同类型的局域转换的证据

Alon Beck, M. Goldstein
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引用次数: 5

摘要

对非平衡态量子相变的探索常常受到驱动和耗散产生有效温度的趋势的阻碍,从而导致经典行为。在这项工作中,我们通过研究无序对最近引入的耗散诱导的陈氏拓扑态的影响,以及检查厄米稳态密度矩阵或纠缠哈密顿量的特征模,为这个问题提供了新的思路。我们发现,与平衡相似,每个朗道带在其中心附近有一个离域能级。然而,使用三种不同的有限尺寸标度方法,我们表明,如果在动力学的非耗散部分引入无序,描述局域化长度在接近离域状态时的散度的临界指数$\nu$与平衡值显着不同。这为冷原子实验提供了一种新的非平衡态量子临界普适性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Disorder in dissipation-induced topological states: Evidence for a different type of localization transition
The quest for nonequilibrium quantum phase transitions is often hampered by the tendency of driving and dissipation to give rise to an effective temperature, resulting in classical behavior. In this work we shed new light on this issue by studying the effect of disorder on recently-introduced dissipation-induced Chern topological states, and examining the eigenmodes of the Hermitian steady state density matrix or entanglement Hamiltonian. We find that, similarly to equilibrium, each Landau band has a single delocalized level near its center. However, using three different finite size scaling methods we show that the critical exponent $\nu$ describing the divergence of the localization length upon approaching the delocalized state is significantly different from equilibrium if disorder is introduced into the non-dissipative part of the dynamics. This indicates a new nonequilibrium quantum critical universality class accessible in cold-atom experiments.
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