arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2004.04005quant-ph
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有耗散的Bose-哈伯德模型中的离散时晶序

Discrete time-crystalline order in Bose-Hubbard model with dissipation

C. M. Dai, Z. C. Gu, X. X. Yi

摘要:

周期性驱动的量子系统表现出各种非平衡特性,而这些特性在平衡态是不存在的。例如,离散时间平移对称性可以在周期性驱动的量子系统中被打破,导致物质的奇异相,称为离散时间晶体(DTC)。对于开放量子系统,以往的研究表明,只有当未驱动系统中存在亚稳态时,才能发现DTC。然而,本文通过研究最简单的具有耗散和时间周期隧穿的Bose-哈伯德模型,发现即使在无驱动系统中不存在亚稳态时,也可以出现$2T$ DTC。这一观察扩展了对DTC的理解,并揭示了DTC背后的物理学。此外,通过对最简单的两点模型的详细分析,进一步证明了两点模型可以作为构造可能出现$nT$ DTC的大环的基本构件.这些结果可能在受驱动的开放量子系统中的奇异相工程中得到应用。

英文摘要:

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.

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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