论文标题

在多体基础状态下时间顺序的量子阶段

Quantum Phases of Time Order in Many-Body Ground States

论文作者

Guo, Tie-Cheng, You, Li

论文摘要

理解物质阶段既重要又实用。在广泛欣赏和接受拓扑顺序之前,沿Landau-Ginzburg-Wilson(LGW)教条制定的自发对称性破坏的范式对于理解与阶段不同对称性和过渡的阶段参数相关的阶段至关重要。这项工作提议从时间顺序上确定量子多体系统的基态阶段,这在操作上是由对称操作员(顺序参数)的两次自动相关函数中非平凡的时间结构的出现所定义的。作为特殊情况,(对称性)时间晶体阶阶段检测连续时间晶体(CTC)。旋转1原子 - 玻色子冷凝物(BEC)和量子兔模型的时间顺序相图已充分处理。除了时间晶体顺序外,在两个非热相互作用的自旋模型中讨论了有趣的时间功能顺序的阶段。

Understanding phases of matter is of both fundamental and practical importance. Prior to the widespread appreciation and acceptance of topological order, the paradigm of spontaneous symmetry breaking, formulated along the Landau-Ginzburg-Wilson (LGW) dogma, is central to understanding phases associated with order parameters of distinct symmetries and transitions between phases. This work proposes to identify ground state phases of quantum many-body system in terms of time order, which is operationally defined by the appearance of nontrivial temporal structure in the two-time auto-correlation function of a symmetry operator (order parameter). As a special case, the (symmetry protected) time crystalline order phase detects continuous time crystal (CTC). Time order phase diagrams for spin-1 atomic Bose-Einstein condensate (BEC) and quantum Rabi model are fully worked out. Besides time crystalline order, the intriguing phase of time functional order is discussed in two non-Hermitian interacting spin models.

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