TY - JOUR
T1 - Relaxation to Gaussian generalized Gibbs ensembles in quadratic bosonic systems in the thermodynamic limit
AU - Monnai, Takaaki
AU - Morodome, Shohei
AU - Yuasa, Kazuya
N1 - Funding Information:
This work was supported by the Grants-in-Aid for Scientific Research (C) (No. 18K03467 and No. 18K03470) and for Fostering Joint International Research (B) (No. 18KK0073) both from the Japan Society for the Promotion of Science (JSPS), and by the Waseda University Grant for Special Research Projects (No. 2018K-262).
Publisher Copyright:
© 2019 American Physical Society.
PY - 2019/8/5
Y1 - 2019/8/5
N2 - Integrable quantum many-body systems are considered to equilibrate to generalized Gibbs ensembles (GGEs) characterized by the expectation values of integrals of motion. We study the dynamics of exactly solvable quadratic bosonic systems in the thermodynamic limit, and show a general mechanism for the relaxation to GGEs, in terms of the diagonal singularity. We show analytically and explicitly that a free bosonic system relaxes from a general (not necessarily Gaussian) initial state under certain physical conditions to a Gaussian GGE. We also show the relaxation to a Gaussian GGE in an exactly solvable coupled system, a harmonic oscillator linearly interacting with bosonic reservoirs.
AB - Integrable quantum many-body systems are considered to equilibrate to generalized Gibbs ensembles (GGEs) characterized by the expectation values of integrals of motion. We study the dynamics of exactly solvable quadratic bosonic systems in the thermodynamic limit, and show a general mechanism for the relaxation to GGEs, in terms of the diagonal singularity. We show analytically and explicitly that a free bosonic system relaxes from a general (not necessarily Gaussian) initial state under certain physical conditions to a Gaussian GGE. We also show the relaxation to a Gaussian GGE in an exactly solvable coupled system, a harmonic oscillator linearly interacting with bosonic reservoirs.
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U2 - 10.1103/PhysRevE.100.022105
DO - 10.1103/PhysRevE.100.022105
M3 - Article
C2 - 31574681
AN - SCOPUS:85070566702
VL - 100
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
SN - 1063-651X
IS - 2
M1 - 022105
ER -