TY - JOUR
T1 - Generic evaluation of relaxation time for quantum many-body systems
T2 - Analysis of the system size dependence
AU - Monnai, Takaaki
PY - 2013/4
Y1 - 2013/4
N2 - General evaluation of the relaxation time to equilibrium remains as a subtle unsolved problem, partially because of its possible dependence on the specific features of models. We evaluate the relaxation time of expectation values for generic isolated quantum many-body systems, and especially show that it at most polynomially depends on the system size. This provides a first model-independent quantitative analysis of the relaxation time. The estimation holds when the Hamiltonian is non-integrable, the initial deviation of the quantity of interest is order of its spectral norm defined on a finite space, and the relaxation process is essentially monotonic.
AB - General evaluation of the relaxation time to equilibrium remains as a subtle unsolved problem, partially because of its possible dependence on the specific features of models. We evaluate the relaxation time of expectation values for generic isolated quantum many-body systems, and especially show that it at most polynomially depends on the system size. This provides a first model-independent quantitative analysis of the relaxation time. The estimation holds when the Hamiltonian is non-integrable, the initial deviation of the quantity of interest is order of its spectral norm defined on a finite space, and the relaxation process is essentially monotonic.
KW - Macroscopic quantum systems
KW - Non-conservative quantities
KW - Relaxation time
UR - http://www.scopus.com/inward/record.url?scp=84876008096&partnerID=8YFLogxK
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U2 - 10.7566/JPSJ.82.044006
DO - 10.7566/JPSJ.82.044006
M3 - Article
AN - SCOPUS:84876008096
SN - 0031-9015
VL - 82
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
IS - 4
M1 - 044006
ER -