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Eigenstate thermalization hypothesis and quantum Jarzynski relation for pure initial states

机译:纯初始状态的本征态热化假设和量子Jarzynski关系

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摘要

Since the first suggestion of the Jarzynski equality many derivations of this equality have been presented in both the classical and the quantum context. While the approaches and settings differ greatly from one another, they all appear to rely on the condition that the initial state is a thermal Gibbs state. Here, we present an investigation of work distributions in driven isolated quantum systems, starting from pure states that are close to energy eigenstates of the initial Hamiltonian. We find that, for the nonintegrable quantum ladder studied, the Jarzynski equality is fulfilled to a good accuracy.
机译:自从Jarzynski等式的第一个建议以来,已经在经典和量子上下文中提出了这种等式的许多派生。尽管方法和设置彼此之间有很大差异,但它们似乎都依赖于初始状态为热吉布斯状态的条件。在这里,我们对驱动的孤立量子系统中的功分布进行了研究,从接近初始哈密顿量的能量本征态的纯态开始。我们发现,对于所研究的不可积量子阶梯,Jarzynski等式得到了很好的满足。

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