Thermalization of interacting fermions and delocalization in Fock space.
Thermalization of interacting fermions and delocalization in Fock space.
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DOI：
10.1103/physreve.85.060101
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发表时间：
2010-07
期刊：
影响因子：
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通讯作者：
Clemens Neuenhahn;F. Marquardt
中科院分区：
文献类型：
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作者：
Clemens Neuenhahn;F. Marquardt
我们研究了相互作用增加的一维费米子系统中“本征态热化”的开始和遍历性的交叉。我们分析了大多数相关少体算子关于本征态的期望值的波动。事实证明，这些与算子本征基中显示的本征态的逆参与比密切相关。基于这一观察，我们找到了充分的证据，表明即使在热力学极限中微乎其微的扰动下，本征态热化也应该发生。
We investigate the onset of "eigenstate thermalization" and the crossover to ergodicity in a system of one-dimensional fermions with increasing interaction. We analyze the fluctuations in the expectation values of most relevant few-body operators with respect to eigenstates. It turns out that these are intimately related to the inverse participation ratio of eigenstates displayed in the operator eigenbasis. Based on this observation, we find good evidence that eigenstate thermalization should set in even for vanishingly small perturbations in the thermodynamic limit.