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arXiv 2103.16445quant-phcond-mat.mes-hall
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强系统-环境耦合的耗散拓扑相变

Dissipative Topological Phase Transition with Strong System-Environment Coupling

Wei Nie, Mauro Antezza, Yu-xi Liu, Franco Nori

摘要:

研究拓扑物质的一个主要动机是保护拓扑序不受其环境的影响。在这项工作中,我们研究了耦合到电磁环境的拓扑发射器阵列。光子-发射极耦合在发射极之间产生非局域相互作用。使用周期性边界条件的所有范围内的环境引起的相互作用,固有的手征对称性的发射器阵列被保存。这种手征对称性保护了哈密顿量,并在林德布拉德算子中引入了宇称。拓扑相变发生在与发射极阵列的能谱宽度相关的临界光子-发射极耦合处。有趣的是,临界点非平凡地改变边缘状态的耗散率,产生耗散拓扑相变。在受保护的拓扑阶段,边缘态由于弱的光子-发射极耦合而遭受环境诱导的耗散。然而,强耦合导致强大的无耗散的边缘状态,在发射极间距的窗口。我们的工作显示了利用电磁环境操纵拓扑量子物质的潜力。

英文摘要:

A primary motivation for studying topological matter regards the protection of topological order from its environment. In this work, we study a topological emitter array coupled to an electromagnetic environment. The photon-emitter coupling produces nonlocal interactions between emitters. Using periodic boundary conditions for all ranges of environment-induced interactions, the chiral symmetry inherent to the emitter array is preserved. This chiral symmetry protects the Hamiltonian, and induces parity in the Lindblad operator. A topological phase transition occurs at a critical photon-emitter coupling related to the energy spectrum width of the emitter array. Interestingly, the critical point nontrivially changes the dissipation rates of edge states, yielding a dissipative topological phase transition. In the protected topological phase, edge states suffer from environment-induced dissipation for weak photon-emitter coupling. However, strong coupling leads to robust dissipationless edge states with a window at the emitter spacing. Our work shows the potential to manipulate topological quantum matter with electromagnetic environments.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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