Eigenstate thermalization and quantum chaos in the Jaynes–Cummings Hubbard model

Eigenstate thermalization and quantum chaos in the Jaynes–Cummings Hubbard model
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Jaynes-Cummings Hubbard 模型中的本征态热化和量子混沌

DOI:
10.1088/1402-4896/ac267f
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发表时间:
2021-09
期刊:
影响因子:
2.9
通讯作者:
Lei Tan
Lei Tan
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Qing Li;Jin-Lou Ma;Lei Tan

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本征态热化假设(ETH)是量子混沌系统热化的一种机制。对量子混沌系统的研究大多涉及自旋、费米子和玻色子之间的两体相互作用,但对于JCH模型,量子混沌特性的出现来自于光子的跳跃强度与光子-原子耦合强度之间的竞争。利用精确对角化方法证明了JCH系统具有量子混沌系统的性质,并在合理的实验参数下验证了ETH方法对光子观测量对角和非对角矩阵元的有效性.
The eigenstate thermalization hypothesis (ETH) is a mechanism for the thermalization of quantum chaotic systems. Most researches on quantum chaotic systems involve the two-body interaction between spins, fermions, and bosons, but for the JCH model, the emergence of quantum-chaotic properties comes from the competition between the hopping strength of the photon and the photon-atom coupling strength. We use exact diagonalization to prove that the JCH system has the property of the quantum chaotic system and verify the validity of ETH ansatz both for diagonal and off-diagonal matrix elements of the photon observables with reasonable experimental parameters.
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