We study probability distribution of a steady state of a periodically driven
system coupled to a thermal bath by using a quantum master equation in the weak
coupling limit. It is proved that, even when the external field is strong, the
probability distribution is independent of the detailed nature of the thermal
bath under the conditions: (i) the Hamiltonian of the relevant system is
bounded and the period of the driving field is short, (ii) the Hamiltonians for
the driving field at different times commute, and (iii) the Hamiltonians of the
driving field and of the interaction between the relevant system and the
thermal bath commute. It is shown that the steady state is described by the
Gibbs distribution of the Floquet states of the relevant system at the
temperature of the thermal bath.
Description
On the condition for emergence of the Floquet-Gibbs state in
periodically driven open systems
%0 Generic
%1 shirai2014condition
%A Shirai, Tatsuhiko
%A Mori, Takashi
%A Miyashita, Seiji
%D 2014
%K interesting
%T On the condition for emergence of the Floquet-Gibbs state in
periodically driven open systems
%U http://arxiv.org/abs/1410.0464
%X We study probability distribution of a steady state of a periodically driven
system coupled to a thermal bath by using a quantum master equation in the weak
coupling limit. It is proved that, even when the external field is strong, the
probability distribution is independent of the detailed nature of the thermal
bath under the conditions: (i) the Hamiltonian of the relevant system is
bounded and the period of the driving field is short, (ii) the Hamiltonians for
the driving field at different times commute, and (iii) the Hamiltonians of the
driving field and of the interaction between the relevant system and the
thermal bath commute. It is shown that the steady state is described by the
Gibbs distribution of the Floquet states of the relevant system at the
temperature of the thermal bath.
@misc{shirai2014condition,
abstract = {We study probability distribution of a steady state of a periodically driven
system coupled to a thermal bath by using a quantum master equation in the weak
coupling limit. It is proved that, even when the external field is strong, the
probability distribution is independent of the detailed nature of the thermal
bath under the conditions: (i) the Hamiltonian of the relevant system is
bounded and the period of the driving field is short, (ii) the Hamiltonians for
the driving field at different times commute, and (iii) the Hamiltonians of the
driving field and of the interaction between the relevant system and the
thermal bath commute. It is shown that the steady state is described by the
Gibbs distribution of the Floquet states of the relevant system at the
temperature of the thermal bath.},
added-at = {2014-12-27T08:10:27.000+0100},
author = {Shirai, Tatsuhiko and Mori, Takashi and Miyashita, Seiji},
biburl = {https://www.bibsonomy.org/bibtex/2a44dd812df6ad26c26a53bbe3e9d6e49/scavgf},
description = {On the condition for emergence of the Floquet-Gibbs state in
periodically driven open systems},
interhash = {fb7c48793fe50f876726c944562b6135},
intrahash = {a44dd812df6ad26c26a53bbe3e9d6e49},
keywords = {interesting},
note = {cite arxiv:1410.0464Comment: 5pages, 3 figures},
timestamp = {2014-12-27T08:10:27.000+0100},
title = {On the condition for emergence of the Floquet-Gibbs state in
periodically driven open systems},
url = {http://arxiv.org/abs/1410.0464},
year = 2014
}