论文标题

多体浮子Chern绝缘子的耗散制备

Dissipative preparation of many-body Floquet Chern insulators

论文作者

Bandyopadhyay, Souvik, Dutta, Amit

论文摘要

考虑到定期驱动的耗散性haldane模型中的微观结构浴耦合为放松机制,我们确定该系统在所有有限温度下都可以调整为频镜拓扑稳态。定期驱动器的幅度和频率是如此之多,以至于在单一情况下,在时间的时间瞬间描述了haldane模型的浮标哈密顿量在拓扑瞬间是不平凡的。我们确定在频道稳态下,系统在受控温度下达到浮标哈密顿量的热状态。此外,观察到,即使与准局部浴的耦合,也可以在Chern非平凡的纯稳态中制备Chern绝缘子,预计该稳定性稳定稳定性可以表现出频道散装的对应关系。使用Chern绝缘子在其拓扑阶段的宏观体积电化的非唯一性,我们提出了一种广义的Chern不变性,即使在散发性的氛围中,也反映了Haldane模型的多体频道状态的拓扑拓扑。动力学绝缘子的一般性拓扑依赖于单粒子相关性,预计将在探测多体量子可观察物的实验中表现出来。

Considering coupling to a micro-structured bath as a relaxation mechanism in a periodically driven dissipative Haldane model, we establish that the system may be tuned to a stroboscopic topological steady state at all finite temperatures. The amplitude and frequency of the periodic drive is so chosen that the Floquet Hamiltonian describing the Haldane model at stroboscopic instants of time in the unitary situation is topologically non-trivial. We establish that in the stroboscopic steady state, the system reaches a thermal state of the Floquet Hamiltonian at a controlled temperature. Further, it is observed that even with a coupling to a quasi-local bath, remarkably a Chern insulator can indeed be prepared in a Chern non-trivial pure steady state which is expected to exhibit a stroboscopic bulk-boundary correspondence. Using the non-uniqueness of the macroscopic bulk electric polarisation of a Chern insulator in its topological phase, we propose a generalised Chern invariant that reflects the topology of out-of-equilibrium many-body stroboscopic states of the Haldane model even in a dissipative ambience. The generalised topology of dynamical Chern insulators being dependent on single-particle correlations, is expected to manifest in experiments probing many-body quantum observables.

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