TY - JOUR
T1 - Comment on "quenches in quantum many-body systems
T2 - One-dimensional Bose-Hubbard model reexamined"
AU - Rigol, Marcos
PY - 2010/9/1
Y1 - 2010/9/1
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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U2 - 10.1103/PhysRevA.82.037601
DO - 10.1103/PhysRevA.82.037601
M3 - Comment/debate
AN - SCOPUS:77956522243
SN - 1050-2947
VL - 82
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 3
M1 - 037601
ER -