论文标题
与散发的玻色 - 哈伯德模型中离散的时间晶体顺序
Discrete time-crystalline order in Bose-Hubbard model with dissipation
论文作者
论文摘要
定期驱动的量子系统表现出在平衡下不存在的各种非平衡特征。例如，在定期驱动的量子系统中可以损坏离散的时间翻译对称性，导致物质的异国阶段，称为离散时间晶体（DTC）。对于开放的量子系统，先前的研究表明，只有在非传播系统中存在元稳定状态时才能找到DTC。但是，通过调查最简单的玻色 - 哈伯德模型，并在本文中发现，即使在未经启动的系统中不存在元稳定状态，也可以出现$ 2T $ DTC。该观察结果扩展了对DTC的理解，并更多地了解了DTC背后的物理。此外，通过对最简单的两个点模型的详细分析，我们进一步显示，两个点模型可以用作基本的构建块，以构建可能出现$ nt $ dtc的大环。这些结果可能会在驱动的开放量子系统中发现应用于工程外来阶段的应用。
Periodically driven quantum systems manifest various non-equilibrium features which are absent at equilibrium. For example, discrete time-translation symmetry can be broken in periodically driven quantum systems leading to an exotic phase of matter, called discrete time crystal(DTC). For open quantum systems, previous studies showed that DTC can be found only when there exists a meta-stable state in the undriven system. However, by investigating the simplest Bose-Hubbard model with dissipation and time periodically tunneling, we find in this paper that a $2T$ DTC can appear even when the meta-stable state is absent in the undriven system. This observation extends the understanding of DTC and shed more light on the physics behind the DTC. Besides, by the detailed analysis of simplest two-sites model, we show further that the two-sites model can be used as basic building blocks to construct large rings in which a $nT$ DTC might appear. These results might find applications into engineering exotic phases in driven open quantum systems.
