发帖
雷达卡
摘要翻译：
在涨落关系和Jarzynski等式的基础上，研究了两类有限量子自旋链在含时磁场作用下的工作涨落。这两类量子链对应于纵向磁场中的可积Ising量子链和不可积XX量子链。对于几种磁场协议，我们对量子Crooks和Jarzynski关系进行了数值验证和实现。作为一个更有趣的情况，我们考虑了施加周期性磁场的强迫区。在Ising情形下，我们给出了双汇流Heun函数的精确解。我们表明，在与场振幅成正比的频率下，由外部周期漂移所做的功的涨落最大。在不可积的情况下，我们证明了随着场频率的变化，在高频处的泊松极限功分布向低频处的正态分布的急剧转变。
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英文标题：
《Work fluctuations in quantum spin chains》
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作者：
Sven Dorosz (LPM), Thierry Platini (LPM), Dragi Karevski (LPM)
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最新提交年份：
2008
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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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英文摘要：
We study the work fluctuations of two types of finite quantum spin chains under the application of a time-dependent magnetic field in the context of the fluctuation relation and Jarzynski equality. The two types of quantum chains correspond to the integrable Ising quantum chain and the nonintegrable XX quantum chain in a longitudinal magnetic field. For several magnetic field protocols, the quantum Crooks and Jarzynski relations are numerically tested and fulfilled. As a more interesting situation, we consider the forcing regime where a periodic magnetic field is applied. In the Ising case we give an exact solution in terms of double-confluent Heun functions. We show that the fluctuations of the work performed by the external periodic drift are maximum at a frequency proportional to the amplitude of the field. In the nonintegrable case, we show that depending on the field frequency a sharp transition is observed between a Poisson-limit work distribution at high frequencies toward a normal work distribution at low frequencies.
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PDF链接：
https://arxiv.org/pdf/709.2639
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