Abstract
We study long-time asymptotic states of periodically driven quantum systems coupled to a thermal bath. In order to describe a class of such a system, we introduce the Floquet–Gibbs state, i.e. the state whose density matrix is diagonalized in the basis of the Floquet state of the system Hamiltonian, and its diagonal element obeys the Boltzmann distribution over its Floquet quasienergy. We obtain sufficient conditions for the realization of the Floquet–Gibbs state in a system with infinitesimal system-bath coupling [T. Shirai et al., Phys. Rev. E 91, 030101 (2015)]. These conditions severely restrict a class of suitable physical models attaining the Floquet–Gibbs state. We also show that some of the conditions can be lifted by imposing conditions on timescales of the thermal bath with the aid of the truncated Floquet Hamiltonian in the Floquet–Magnus expansion [T. Shirai et al., New J. Phys. 18, 053008 (2016)]. In this paper, we give an overview of this theory and reconsider it by looking at the dynamics from a rotating frame.
| Original language | English |
|---|---|
| Pages (from-to) | 323-333 |
| Number of pages | 11 |
| Journal | European Physical Journal: Special Topics |
| Volume | 227 |
| Issue number | 3-4 |
| DOIs | |
| Publication status | Published - 2018 Sep 1 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Materials Science(all)
- Physics and Astronomy(all)
- Physical and Theoretical Chemistry
Cite this
Floquet–Gibbs state in open quantum systems. / Shirai, Tatsuhiko; Mori, Takashi; Miyashita, Seiji.
In: European Physical Journal: Special Topics, Vol. 227, No. 3-4, 01.09.2018, p. 323-333.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Floquet–Gibbs state in open quantum systems
AU - Shirai, Tatsuhiko
AU - Mori, Takashi
AU - Miyashita, Seiji
PY - 2018/9/1
Y1 - 2018/9/1
N2 - We study long-time asymptotic states of periodically driven quantum systems coupled to a thermal bath. In order to describe a class of such a system, we introduce the Floquet–Gibbs state, i.e. the state whose density matrix is diagonalized in the basis of the Floquet state of the system Hamiltonian, and its diagonal element obeys the Boltzmann distribution over its Floquet quasienergy. We obtain sufficient conditions for the realization of the Floquet–Gibbs state in a system with infinitesimal system-bath coupling [T. Shirai et al., Phys. Rev. E 91, 030101 (2015)]. These conditions severely restrict a class of suitable physical models attaining the Floquet–Gibbs state. We also show that some of the conditions can be lifted by imposing conditions on timescales of the thermal bath with the aid of the truncated Floquet Hamiltonian in the Floquet–Magnus expansion [T. Shirai et al., New J. Phys. 18, 053008 (2016)]. In this paper, we give an overview of this theory and reconsider it by looking at the dynamics from a rotating frame.
AB - We study long-time asymptotic states of periodically driven quantum systems coupled to a thermal bath. In order to describe a class of such a system, we introduce the Floquet–Gibbs state, i.e. the state whose density matrix is diagonalized in the basis of the Floquet state of the system Hamiltonian, and its diagonal element obeys the Boltzmann distribution over its Floquet quasienergy. We obtain sufficient conditions for the realization of the Floquet–Gibbs state in a system with infinitesimal system-bath coupling [T. Shirai et al., Phys. Rev. E 91, 030101 (2015)]. These conditions severely restrict a class of suitable physical models attaining the Floquet–Gibbs state. We also show that some of the conditions can be lifted by imposing conditions on timescales of the thermal bath with the aid of the truncated Floquet Hamiltonian in the Floquet–Magnus expansion [T. Shirai et al., New J. Phys. 18, 053008 (2016)]. In this paper, we give an overview of this theory and reconsider it by looking at the dynamics from a rotating frame.
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U2 - 10.1140/epjst/e2018-00087-1
DO - 10.1140/epjst/e2018-00087-1
M3 - Article
VL - 227
SP - 323
EP - 333
JO - European Physical Journal: Special Topics
JF - European Physical Journal: Special Topics
SN - 1951-6355
IS - 3-4
ER -