Abstract
A periodically driven quantum system, when coupled to a heat bath, relaxes to a non-equilibrium asymptotic state. In the general situation, the retrieval of this asymptotic state presents a rather non-trivial task. It was recently shown that in the limit of an infinitesimal coupling, using the so-called rotating wave approximation (RWA), and under strict conditions imposed on the time-dependent system Hamiltonian, the asymptotic state can attain the Gibbs form. A Floquet-Gibbs state is characterized by a density matrix which is diagonal in the Floquet basis of the system Hamiltonian with the diagonal elements obeying a Gibbs distribution, being parametrized by the corresponding Floquet quasi-energies. Addressing the non-adiabatic driving regime, upon using the Magnus expansion, we employ the concept of a corresponding effective Floquet Hamiltonian. In doing so we go beyond the conventionally used RWA and demonstrate that the idea of Floquet-Gibbs states can be extended to the realistic case of a weak, although finite system-bath coupling, herein termed effective Floquet-Gibbs states.
| Original language | English |
|---|---|
| Article number | 053008 |
| Journal | New Journal of Physics |
| Volume | 18 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2016 May 1 |
| Externally published | Yes |
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Keywords
- Non-equilibrium asymptotic states
- Open quantum system
- Time-periodic driving field
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Effective Floquet-Gibbs states for dissipative quantum systems. / Shirai, Tatsuhiko; Thingna, Juzar; Mori, Takashi; Denisov, Sergey; Hänggi, Peter; Miyashita, Seiji.
In: New Journal of Physics, Vol. 18, No. 5, 053008, 01.05.2016.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Effective Floquet-Gibbs states for dissipative quantum systems
AU - Shirai, Tatsuhiko
AU - Thingna, Juzar
AU - Mori, Takashi
AU - Denisov, Sergey
AU - Hänggi, Peter
AU - Miyashita, Seiji
PY - 2016/5/1
Y1 - 2016/5/1
N2 - A periodically driven quantum system, when coupled to a heat bath, relaxes to a non-equilibrium asymptotic state. In the general situation, the retrieval of this asymptotic state presents a rather non-trivial task. It was recently shown that in the limit of an infinitesimal coupling, using the so-called rotating wave approximation (RWA), and under strict conditions imposed on the time-dependent system Hamiltonian, the asymptotic state can attain the Gibbs form. A Floquet-Gibbs state is characterized by a density matrix which is diagonal in the Floquet basis of the system Hamiltonian with the diagonal elements obeying a Gibbs distribution, being parametrized by the corresponding Floquet quasi-energies. Addressing the non-adiabatic driving regime, upon using the Magnus expansion, we employ the concept of a corresponding effective Floquet Hamiltonian. In doing so we go beyond the conventionally used RWA and demonstrate that the idea of Floquet-Gibbs states can be extended to the realistic case of a weak, although finite system-bath coupling, herein termed effective Floquet-Gibbs states.
AB - A periodically driven quantum system, when coupled to a heat bath, relaxes to a non-equilibrium asymptotic state. In the general situation, the retrieval of this asymptotic state presents a rather non-trivial task. It was recently shown that in the limit of an infinitesimal coupling, using the so-called rotating wave approximation (RWA), and under strict conditions imposed on the time-dependent system Hamiltonian, the asymptotic state can attain the Gibbs form. A Floquet-Gibbs state is characterized by a density matrix which is diagonal in the Floquet basis of the system Hamiltonian with the diagonal elements obeying a Gibbs distribution, being parametrized by the corresponding Floquet quasi-energies. Addressing the non-adiabatic driving regime, upon using the Magnus expansion, we employ the concept of a corresponding effective Floquet Hamiltonian. In doing so we go beyond the conventionally used RWA and demonstrate that the idea of Floquet-Gibbs states can be extended to the realistic case of a weak, although finite system-bath coupling, herein termed effective Floquet-Gibbs states.
KW - Non-equilibrium asymptotic states
KW - Open quantum system
KW - Time-periodic driving field
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UR - http://www.scopus.com/inward/citedby.url?scp=84973926470&partnerID=8YFLogxK
U2 - 10.1088/1367-2630/18/5/053008
DO - 10.1088/1367-2630/18/5/053008
M3 - Article
VL - 18
JO - New Journal of Physics
JF - New Journal of Physics
SN - 1367-2630
IS - 5
M1 - 053008
ER -