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首页> 外文期刊>Physical review >Nonequilibrum dynamics in the strongly excited inhomogeneous Dicke model
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Nonequilibrum dynamics in the strongly excited inhomogeneous Dicke model

机译：强激发非均匀迪克模型中的非平衡动力学

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摘要

Using the exact eigenstates of the inhomogeneous Dicke model obtained by numerically solving the Bethe equations, we study the decay of bosonic excitations due to the coupling of the mode to an ensemble of two-level (spin 1/2) systems. We compare the quantum time evolution of the bosonic mode population with the mean-field description which, for a few bosons, agree up to a relatively long Ehrenfest time. We demonstrate that additional excitations lead to a dramatic shortening of the period of validity of the mean-field analysis. However, even in the limit where the number of bosons equal the number of spins, the initial instability remains adequately described by the mean-field approach leading to a finite, albeit short, Ehrenfest time. Through finite size analysis we also present indications that the mean-field approach could still provide an adequate description for thermodynamically large systems even at long times. However, for mesoscopic systems one cannot expect it to capture the behavior beyond the initial decay stage in the limit of an extremely large number of excitations.
机译：使用通过数值求解Bethe方程获得的非均匀Dicke模型的精确本征态，我们研究了由于该模式与两级（旋转1/2）系统的耦合而引起的玻色子激发的衰减。我们将玻色子模态种群的量子时间演化与均值场描述进行了比较，对于几个玻色子，均值描述符合相对较长的埃伦菲斯特时间。我们证明了额外的激励导致平均场分析有效期的急剧缩短。然而，即使在玻色子数等于自旋数的极限中，初始不稳定性仍然可以通过均值场方法充分描述，从而导致有限的（尽管很短）埃伦费斯特时间。通过有限大小的分析，我们还表明，即使在很长的时间内，均值场方法仍可以为热力学大型系统提供足够的描述。但是，对于介观系统，不能期望它会在非常大量的激励范围内捕获超出初始衰减阶段的行为。

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  • 来源
    《Physical review》 |2012年第19期|195101.1-195101.9|共9页
  • 作者

    Christoph Straeter; leksandr Tsyplyatyev; Alexandre Faribault;

  • 作者单位

    Max-Planck-Institute for the Physics of Complex Systems, Nothnitzer Str. 38, 01187 Dresden, Germany,Arnold Sommerfeld Centre for Theoretical Physics, Ludwig-Maximilians-Universitdt, 80333 Munchen, Germany;

    Department of Physics & Astronomy, University of Sheffield, Sheffield S3 7RH, United Kingdom;

    Institute for Theory of Statistical Physics, RWTH Aachen, 52056 Aachen, Germany,Arnold Sommerfeld Centre for Theoretical Physics, Ludwig-Maximilians-Universitdt, 80333 Munchen, Germany;

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  • 关键词

    theory, models, and numerical simulation; cavity quantum electrodynamics; micromasers; integrable systems;

    机译：理论;模型和数值模拟;腔量子电动力学微型激光器可积系统;

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