Fundamental Asymmetry in Quenches between Integrable and Nonintegrable Systems

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Abstract

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.

Original languageEnglish (US)
Article number100601
JournalPhysical Review Letters
Volume116
Issue number10
DOIs
StatePublished - Mar 9 2016

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asymmetry
eigenvectors
bosons
thermodynamics
expansion

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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abstract = "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.",
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Fundamental Asymmetry in Quenches between Integrable and Nonintegrable Systems. / Rigol, Marcos.

In: Physical Review Letters, Vol. 116, No. 10, 100601, 09.03.2016.

Research output: Contribution to journalArticle

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