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

Marcos Rigol

doi:10.1103/PhysRevA.82.037601

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

Marcos Rigol

Physics

Research output: Contribution to journal › Comment/debate › peer-review

8 Scopus citations

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 language	English (US)
Article number	037601
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	82
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.82.037601
State	Published - Sep 1 2010

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.82.037601

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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.",

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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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ER -

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

Abstract

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