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Dissipative dynamics at first-order quantum transitions
Physical Review B ( IF 3.2 ) Pub Date : 2020-12-04 , DOI: 10.1103/physrevb.102.224302
Giovanni Di Meglio , Davide Rossini , Ettore Vicari

We investigate the effects of dissipation on the quantum dynamics of many-body systems at quantum transitions, especially considering those of the first order. This issue is studied within the paradigmatic one-dimensional quantum Ising model. We analyze the out-of-equilibrium dynamics arising from quenches of the Hamiltonian parameters and dissipative mechanisms modeled by a Lindblad master equation, with either local or global spin operators acting as dissipative operators. Analogously to what happens at continuous quantum transitions, we observe a regime where the system develops a nontrivial dynamic scaling behavior, which is realized when the dissipation parameter u (globally controlling the decay rate of the dissipation within the Lindblad framework) scales as the energy difference Δ of the lowest levels of the Hamiltonian, i.e., uΔ. However, unlike continuous quantum transitions where Δ is power-law suppressed, at first-order quantum transitions Δ is exponentially suppressed with increasing the system size (provided the boundary conditions do not favor any particular phase).

中文翻译:

一阶量子跃迁的耗散动力学

我们研究了耗散对多体系统在量子跃迁处的量子动力学的影响,特别是考虑了一阶跃迁的影响。在范式一维量子伊辛模型中研究了此问题。我们分析了由哈密顿参数的淬灭和由Lindblad主方程建模的耗散机制引起的失衡动力学,其中局部或全局自旋算子充当耗散算子。类似于在连续量子跃迁中发生的情况,我们观察到一种状态,系统在该状态下发展出非平凡的动态缩放行为,这是在耗散参数实现时实现的ü (在Lindblad框架内全局控制耗散的衰减率)随能量差而缩放 Δ 哈密​​顿量最低的水平,即 üΔ。但是,与连续量子跃迁不同的是,Δ 在一阶量子跃迁处被幂律抑制 Δ 随着系统尺寸的增加,指数被抑制(假设边界条件不适合任何特定相位)。
更新日期:2020-12-04
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