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摘要翻译：
我们研究了制备的振动态（系统）与具有致密振动态谱的储层耦合的时间演化。我们假设储层具有等距谱，系统-储层耦合矩阵元与储层状态无关。解析解表明了系统的三种演化状态:(I)弱阻尼振荡；(II)重复周期中的多分量Loschmidt回波；(III)重复循环重叠。我们找到了这些状态之间转换的系统-储层耦合常数的特征临界值。由于任何实际系统中时间或能量测量的粗粒化或初始条件的不确定性，随机动力学发生在系统(III)中。即使一个具体的玩具模型在这里被调查，当适当的解释它产生了相当合理的描述，各种物理相关的现象。
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英文标题：
《Loschmidt echo and stochastic-like quantum dynamics of nano-particles》
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作者：
V.A. Benderskii (Institute of Problems of Chemical Physics,
Chernogolovka, Russia), L.A. Falkovsky (L. D. Landau Institute for
Theoretical Physics, Moscow, and Institute of the High Pressure Physics,
Troitsk, Russia), E.I. Kats (Laue-Langevin Institute, Grenoble, France, and
L. D. Landau Institute for Theoretical Physics, Moscow, Russia)
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics 物理学
二级分类：Mesoscale and Nanoscale Physics 介观和纳米物理
分类描述：Semiconducting nanostructures: quantum dots, wires, and wells. Single electronics, spintronics, 2d electron gases, quantum Hall effect, nanotubes, graphene, plasmonic nanostructures
半导体纳米结构：量子点、线和阱。单电子学，自旋电子学，二维电子气，量子霍尔效应，纳米管，石墨烯，等离子纳米结构
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英文摘要：
We investigate time evolution of prepared vibrational state (system) coupled to a reservoir with dense spectrum of its vibrational states. We assume that the reservoir has an equidistant spectrum, and the system - reservoir coupling matrix elements are independent of the reservoir states. The analytical solution manifests three regimes of the evolution for the system: (I) weakly damped oscillations; (II) multicomponent Loschmidt echo in recurrence cycles; (III) overlapping recurrence cycles. We find the characteristic critical values of the system - reservoir coupling constant for the transitions between these regimes. Stochastic dynamics occurs in the regime (III) due to inevoidably in any real system coarse graining of time or energy measurements, or initial condition uncertainty. Even though a specific toy model is investigated here, when properly interpreted it yields quite reasonable description for a variety of physically relevant phenomena.
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PDF链接：
https://arxiv.org/pdf/706.2333
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