Dephasing-induced growth of discrete time-crystalline order in spin networks
Dephasing-induced growth of discrete time-crystalline order in spin networks
复制标题
自旋网络中离散时间晶体有序的相移诱导生长
DOI：
10.1103/physrevb.104.054304
复制
发表时间：
2021
影响因子：
3.7
通讯作者：
and Kae Nemoto
中科院分区：
文献类型：
--
作者：
A. Sakurai;V. M. Bastidas;M. P. Estarellas;W. J. Munro;and Kae Nemoto
离散时间晶体（DTC）是与周期性驱动系统的对称性有关的物质的量子相。当初始状态打破这些对称性时，它就会出现，因此对dtc的观察与初始状态的对称性密切相关。在本文中，我们研究了一种非平凡的情况，在这种情况下，两个相互作用的区域同时在两个初始状态下制备，保持和打破了这种对称性。具体来说，我们通过将Floquet理论推广到Liouvillian动力学，讨论了这种系统在环境影响下的行为。我们的分析表明，整个系统向DTC阶段发展，并在减相作用下趋于稳定。我们的结果为耗散非平衡量子系统中相干和非相干动力学之间的竞争所产生的量子相提供了新的理解。
A discrete time crystal (DTC) is a quantum phase of matter related to the symmetries of a periodically driven system. It can appear when the initial state breaks these symmetries, and hence the observation of DTCs is intimately related to the symmetry of the initial state. In this paper, we investigate a nontrivial situation in which two interacting regions are simultaneously prepared in two initial states that preserve and break this symmetry. Specifically, we discuss the behavior of such a system under the influence of an environment by extending Floquet theory to the Liouvillian dynamics. Our analysis shows that the entire system evolves toward a DTC phase and is stabilized by the effect of dephasing. Our results provide a new understanding of quantum phases emerging from the competition between the coherent and incoherent dynamics in dissipative nonequilibrium quantum systems.