多体Floquet Chern绝缘子的耗散制备
Dissipative preparation of many-body Floquet Chern insulators
摘要：
考虑到耦合到一个微结构浴作为一个周期性驱动的耗散Halfton模型的松弛机制，我们建立了该系统可以调谐到频闪拓扑稳态在所有有限的温度。周期性驱动的振幅和频率是这样选择的，即在酉情况下，描述Haldom模型在频闪时刻的Floquet哈密顿量在拓扑上是非平凡的。我们建立，在频闪稳定状态，系统达到热状态的Floquet哈密顿量在一个受控的温度。此外，据观察，即使与准本地浴耦合，显着的陈氏绝缘体确实可以在陈氏非平凡的纯稳态，预计表现出频闪体边界对应准备。利用陈省身绝缘体的宏观体电极化在其拓扑相的非唯一性，我们提出了一个广义的陈省身不变量，反映了拓扑结构的平衡多体频闪状态的Haldom模型，即使在一个耗散的氛围。动力学陈氏绝缘体的广义拓扑结构依赖于单粒子相关性，预计将在探测多体量子观测量的实验中表现出来。
英文摘要：
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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