期刊
NEW JOURNAL OF PHYSICS
卷 18, 期 -, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/18/5/053008
关键词
time-periodic driving field; open quantum system; non-equilibrium asymptotic states
资金
- JSPS [258794]
- advanced leading graduate course for photon science (ALPS)
- SMART
- JSPS KAKENHI Grant [15K17718]
- Russian science foundation [15-12-20029]
- MEXT of Japan [25400391]
- supercomputer center of ISSP of Tokyo University
- Grants-in-Aid for Scientific Research [15K17718] Funding Source: KAKEN
- Russian Science Foundation [15-12-20029] Funding Source: Russian Science Foundation
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.
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