Comment on 'Quenches in quantum many-body systems: One-dimensional Bose-Hubbard model reexamined'

Journal Article · Wed Sep 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.037601· OSTI ID:21456970

Rigol, Marcos ^[1]

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1. Department of Physics, Georgetown University, Washington, DC 20057 (United States)

In a recent paper, Roux [Phys. Rev. A 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.

• OSTI ID: 21456970
• Journal Information: Physical Review. A, Vol. 82, Issue 3; Other Information: DOI: 10.1103/PhysRevA.82.037601; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
APPROXIMATIONS
DISTRIBUTION
EIGENSTATES
HAMILTONIANS
HUBBARD MODEL
MANY-BODY PROBLEM
ONE-DIMENSIONAL CALCULATIONS
THERMALIZATION
CALCULATION METHODS
CRYSTAL MODELS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
QUANTUM OPERATORS
SLOWING-DOWN