Comment on "quenches in quantum many-body systems: One-dimensional Bose-Hubbard model reexamined"

Research output: Contribution to journalComment/debate

8 Citations (Scopus)

Abstract

In a recent paper, Roux [Phys. Rev. APLRAAN1050-294710.1103/PhysRevA.79. 021608 79, 021608(R) (2009)] argued that thermalization in a Bose-Hubbard system, after a quantum quench, follows from the approximate Boltzmann distribution of the overlap between the initial state and the eigenstates of the final Hamiltonian. We show here that the distribution of the overlaps is in general not related to the canonical (or microcanonical) distribution and, hence, it cannot explain why thermalization occurs in quantum systems.

Original languageEnglish (US)
Article number037601
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume82
Issue number3
DOIs
StatePublished - Sep 1 2010

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Boltzmann distribution
eigenvectors

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Cite this

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title = "Comment on {"}quenches in quantum many-body systems: One-dimensional Bose-Hubbard model reexamined{"}",
abstract = "In a recent paper, Roux [Phys. Rev. APLRAAN1050-294710.1103/PhysRevA.79. 021608 79, 021608(R) (2009)] argued that thermalization in a Bose-Hubbard system, after a quantum quench, follows from the approximate Boltzmann distribution of the overlap between the initial state and the eigenstates of the final Hamiltonian. We show here that the distribution of the overlaps is in general not related to the canonical (or microcanonical) distribution and, hence, it cannot explain why thermalization occurs in quantum systems.",
author = "Rigol, {Marcos Antonio}",
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language = "English (US)",
volume = "82",
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AU - Rigol, Marcos Antonio

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N2 - In a recent paper, Roux [Phys. Rev. APLRAAN1050-294710.1103/PhysRevA.79. 021608 79, 021608(R) (2009)] argued that thermalization in a Bose-Hubbard system, after a quantum quench, follows from the approximate Boltzmann distribution of the overlap between the initial state and the eigenstates of the final Hamiltonian. We show here that the distribution of the overlaps is in general not related to the canonical (or microcanonical) distribution and, hence, it cannot explain why thermalization occurs in quantum systems.

AB - In a recent paper, Roux [Phys. Rev. APLRAAN1050-294710.1103/PhysRevA.79. 021608 79, 021608(R) (2009)] argued that thermalization in a Bose-Hubbard system, after a quantum quench, follows from the approximate Boltzmann distribution of the overlap between the initial state and the eigenstates of the final Hamiltonian. We show here that the distribution of the overlaps is in general not related to the canonical (or microcanonical) distribution and, hence, it cannot explain why thermalization occurs in quantum systems.

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JF - Physical Review A

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