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arXiv 1009.1973cond-mat.str-el
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极化子系统中量子熵的行为

Behavior of quantum entropies in polaronic systems

C. A. Perroni, V. Marigliano Ramaglia, V. Cataudella

摘要:

本文分析了具有短程(Holstein模型)和长程(Fr $\ddot{o}$ hlich模型)电子-声子耦合的极化子系统的量子熵和态距离。这些量提取的变分波函数,它非常准确地描述了任意大小的极化子系统在所有相关的参数制度。利用量子信息工具,可以高精度地表征从弱耦合到强耦合的交叉区域。然后,线性熵被发现是非常敏感的范围内的电子-声子耦合和绝热比。最后,研究了纠缠熵与系统尺寸的关系,指出无论是弱电子-声子耦合还是短程相互作用,纠缠熵都不是有界的,而是与系统尺寸的对数成正比.这是由于声子子系统上的单电子巡游动力学所引起的特殊耦合作用。

英文摘要:

Quantum entropies and state distances are analyzed in polaronic systems with short range (Holstein model) and long range (Fr$\ddot{o}$hlich model) electron-phonon coupling. These quantities are extracted by a variational wave function which describes very accurately polaron systems with arbitrary size in all the relevant parameter regimes. With the use of quantum information tools, the crossover region from weak to strong coupling regime can be characterized with high precision. Then, the linear entropy is found to be very sensitive to the range of the electron-phonon coupling and the adiabatic ratio. Finally, the entanglement entropy is studied as a function of the system size pointing out that it not bounded, but scales as the logarithm of the size either for weak electron-phonon coupling or for short range interaction. This behavior is ascribed to the peculiar coupling induced by the single electron itinerant dynamics on the phonon subsystem.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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