动力学量子相变的相空间解剖
Phase space anatomy of dynamical quantum phase transitions
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- J\"ulich Supercomputing Centre, Forschungszentrum J\"ulich GmbH, 52425 J\"ulich, Germany
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中文总结 AI 辅助
本研究通过离散相空间区分了动力学量子相变中序参量与返回率两种定义，揭示了干涉在返回奇异分支选择中的独立作用。
中文摘要 AI 辅助
动力学量子相变（DQPT）通常通过晚期序参量的行为或量子态返回率的非解析性来定义。我们证明，离散相空间从根本上将这两个概念按所需信息的尺度区分开来。序参量相变由局部约化态决定，不需要准概率负性。相反，一般的全局返回可以包含所有适当约化态中缺失的信息。对于稳定子返回，我们推导出返回率的精确分解，将其分为支撑损失和破坏性量子干涉的不同成本。qutrit Potts链的动力学表明，选择性抵消可以逆转竞争块返回的排序并延迟其交换。一个精确控制还展示了在交叉点具有零负性的热力学返回尖点。因此，返回奇异性的存在以及干涉在选择其分支中的作用是两个不同的物理问题。
英文摘要
Dynamical quantum phase transitions (DQPT) are commonly defined either by the behavior of a late-time order parameter or by nonanalyticities in a quantum state's return rate. We show that discrete phase space fundamentally separates these two notions by the scale of information they require. An order parameter transition is determined by a local reduced state, requiring no quasiprobability negativity. In contrast, general global returns can contain information absent from every proper reduced state. For stabilizer returns, we derive an exact decomposition of the rate into distinct costs from loss of support and destructive quantum interference. Dynamics of a qutrit Potts chain show that selective cancellation can reverse the ranking of competing block returns and delay their exchange. An exact control also exhibits a thermodynamic return cusp with zero negativity at the crossing. The existence of a return singularity and the role of interference in selecting its branches are therefore distinct physical questions.
