TY - JOUR
T1 - General relaxation time of the fidelity for isolated quantum thermodynamic systems
AU - Monnai, Takaaki
PY - 2014/6/15
Y1 - 2014/6/15
N2 - General evaluation of the relaxation time to equilibrium is usually considered as difficult, since it would strongly depend on the model of interest. In this paper, we provide a generic initial relaxation time of the fidelity for the isolated large systems. The decay of the fidelity is a combination of the Lorentzian and a sinusoidal oscillation. We calculate the relaxation time of the Lorentzian envelop, and the period of the oscillation. Remarkably, these two time scales are the same order when the energy range of the microcanonical state is larger than the thermal fluctuation. Also, the power law decay generally exists for long time regime.
AB - General evaluation of the relaxation time to equilibrium is usually considered as difficult, since it would strongly depend on the model of interest. In this paper, we provide a generic initial relaxation time of the fidelity for the isolated large systems. The decay of the fidelity is a combination of the Lorentzian and a sinusoidal oscillation. We calculate the relaxation time of the Lorentzian envelop, and the period of the oscillation. Remarkably, these two time scales are the same order when the energy range of the microcanonical state is larger than the thermal fluctuation. Also, the power law decay generally exists for long time regime.
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U2 - 10.7566/JPSJ.83.064001
DO - 10.7566/JPSJ.83.064001
M3 - Article
AN - SCOPUS:84907309163
SN - 0031-9015
VL - 83
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
IS - 6
M1 - 064001
ER -