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Time-integrated observables as order parameters for full counting statistics transitions in closed quantum systems

机译:时间积分可观测物作为封闭量子系统中全计数统计跃迁的阶跃参数

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摘要

The dynamical behavior of many-body systems is often richer than what can be anticipated from their static properties.Here we show that in closed quantum systems this becomes evident by considering the statistics of time-integrated observables.In particular, the analytic properties of their generating functions, as estimated by full counting statistics (FCS), allow one to identify FCS phases, i.e., phases with specific fluctuation properties of time-integrated observables, and to locate transitions between these phases.We discuss in detail the case of the quantum Ising chain in a transverse field.We show that this model displays a continuum of full counting statistics transitions, of which the static transition is just an end point.These singularities are not a consequence of particular choices of initial conditions or other external nonequilibrium protocols such as quenches in coupling constants.They can be probed generically through quantum jump statistics of an associated open problem, and for the case of the quantum Ising chain we outline a possible experimental realization of this scheme by digital quantum simulation with cold ions.
机译:多体系统的动力学行为通常比其静态特性所能预测的要丰富。在这里,我们证明了在封闭量子系统中,通过考虑时间积分可观测量的统计数据,这一点变得明显。通过全计数统计(FCS)估计的生成函数,可以识别FCS相位,即具有时间积分观测值特定波动特性的相位,并找到这些相位之间的过渡。我们将详细讨论量子的情况横向模型中的Ising链,我们证明了该模型显示了一个完整计数统计跃迁的连续体,其中静态跃迁只是一个终点,这些奇异性并不是特定选择初始条件或其他外部非平衡方案的结果作为偶合常数的淬灭。可以通过关联的打开探针的量子跃变统计来一般性地探究它们。例如,对于量子伊辛链,我们概述了通过使用冷离子进行数字量子模拟对该方案的实验实现。

著录项

  • 来源
    《Physical review》 |2013年第18期|184303.1-184303.6|共6页
  • 作者单位

    School of Physics and Astronomy, University of Nottingham,Nottingham, NG7 2RD, United Kingdom;

    School of Physics and Astronomy, University of Nottingham,Nottingham, NG7 2RD, United Kingdom;

    School of Physics and Astronomy, University of Nottingham,Nottingham, NG7 2RD, United Kingdom;

    School of Physics and Astronomy, University of Nottingham,Nottingham, NG7 2RD, United Kingdom;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    nonequilibrium and irreversible thermodynamics; classical spin models;

    机译:非平衡和不可逆的热力学;经典自旋模型;

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