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arXiv quant-ph/0512182quant-phcond-mat.stat-mech
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非定域性II:量子孤立系中非马尔可夫过程的动力学起源

Nonlocality II: Nonlocality as the dynamical origin of the non-markovian process in quantum isolated system

Hai-Jhun Wanng

摘要:

在前面的文章中,我们已经证明了两个量子粒子的弹性散射过程总是伴随着非定域过程。此外,还发现在原来的散射哈密顿量之后增加一个新的哈密顿量,有助于在一个统一的坐标系中描述这两类过程。本文讨论了这个附加哈密顿量对孤立量子系统中不可逆过程的贡献。利用哈密顿量可以导出非马尔可夫的Langevin方程,表现出复杂的记忆效应,从而揭示了孤立系的不可逆本质,而不需要像通常那样求助于水库或近似方法(如粗粒)。

英文摘要:

In the previous paper, it has been proved that elastic scattering processes of two quantum particles are always accompanied with nonlocal processes. Furthermore, it is found that setting an additional Hamiltonian after the originally scattering one can help to describe the two type of processes in a united frame. Here we discuss the contribution of this additional Hamiltonian to irreversible process in isolated quantum systems. The use of the Hamiltonian can induce the non-Markovian Langevin equation, showing a complex memory effect, and thus revealing the irreversible essence of isolated system without appealing to reservoir or approximate methods (e.g. coarse grain) as usually done.

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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