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arXiv 2008.04894quant-phcond-mat.stat-mechcond-mat.str-el
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动力学量子相变的纠缠观

Entanglement view of dynamical quantum phase transitions

Stefano De Nicola, Alexios A. Michailidis, Maksym Serbyn

摘要:

平衡态配分函数与多体幺正动力学中的返回概率之间的类比导致了动力学量子相变(DQPT)的概念。DQPT由返回振幅的非解析性定义,并且存在于许多模型中。在某些情况下,DQPT可以与平衡的概念,如序参量,但他们的普遍描述是一个悬而未决的问题。在这项工作中,我们提供了第一步的DQPT分类使用矩阵产品状态描述的酉动力学的热力学极限。这使我们能够区分两种极限情况下的进动和纠缠的DQPT,这是用量子伊辛模型的分析描述说明。虽然进动DQPT的特点是一个大的纠缠间隙,并在其性质上是半经典的,纠缠DQPT发生在纠缠谱中避免交叉附近,可以通过复杂的非本地相关模式来区分。我们证明了超越伊辛模型的岁差和纠缠双量子点的存在,讨论了可以区分它们的观测量,并将它们的相互作用与复杂的双量子点现象联系起来。

英文摘要:

The analogy between an equilibrium partition function and the return probability in many-body unitary dynamics has led to the concept of dynamical quantum phase transition (DQPT). DQPTs are defined by non-analyticities in the return amplitude and are present in many models. In some cases DQPTs can be related to equilibrium concepts such as order parameters, yet their universal description is an open question. In this work we provide first steps towards a classification of DQPTs by using a matrix product state description of unitary dynamics in the thermodynamic limit. This allows us to distinguish the two limiting cases of precession and entanglement DQPTs, which are illustrated using an analytical description in the quantum Ising model. While precession DQPTs are characterized by a large entanglement gap and are semiclassical in their nature, entanglement DQPTs occur near avoided crossings in the entanglement spectrum and can be distinguished by a complex pattern of non-local correlations. We demonstrate the existence of precession and entanglement DQPTs beyond Ising model, discuss observables that can distinguish them and relate their interplay to complex DQPT phenomenology.

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