Fundamental Asymmetry in Quenches Between Integrable and Nonintegrable Systems.
Fundamental Asymmetry in Quenches Between Integrable and Nonintegrable Systems.
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DOI：
10.1103/physrevlett.116.100601
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发表时间：
2015-11
影响因子：
8.6
通讯作者：
M. Rigol
中科院分区：
文献类型：
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作者：
M. Rigol
研究了热力学极限下可积与不可积硬核玻色子模型之间的量子猝灭。我们发现，当初态为可积模型的热平衡态且最终哈密顿量不可积(量子混沌)的猝灭导致热化时，反之则不成立。虽然考虑到两个哈密顿的本征态通过么正变换联系在一起的事实，这似乎是违反直觉的，但我们认为它是通用的。因此，对于从不可积系统的驻定态开始的猝灭，可积系统的热化缺失是健壮的。不可积系统的热化与初始哈密顿量的性质无关。
We study quantum quenches between integrable and nonintegrable hard-core boson models in the thermodynamic limit with numerical linked cluster expansions. We show that while quenches in which the initial state is a thermal equilibrium state of an integrable model and the final Hamiltonian is nonintegrable (quantum chaotic) lead to thermalization, the reverse is not true. While this might appear counterintuitive given the fact that the eigenstates of both Hamiltonians are related by a unitary transformation, we argue that it is generic. Hence, the lack of thermalization of integrable systems is robust against quenches starting from stationary states of nonintegrable ones. Nonintegrable systems thermalize independently of the nature of the initial Hamiltonian.