Long time asymptotic state of periodically driven open quantum systems
arXiv:1608.05566 · doi:10.1103/PhysRevB.94.184304
Abstract
We investigate a long time asymptotic state of periodically driven open quantum systems analytically. The model we consider in this paper is a free fermionic system coupled to an energy and particle reservoir. We clarify some generic properties of the system which are independent of the details of the reservoir in the high frequency regime of the external driving. When the frequency of the external driving is much larger than the energy cutoff of the system-reservoir coupling, the low-energy properties of the system are equivalent to those of the Gibbs distribution of a Floquet effective Hamiltonian. Furthermore, we investigate the effect of finite dissipation on the system, and elucidate that we cannot suppress excitations by merely increasing the system-reservoir coupling because the excitations are created through the reservoir by the external driving when the frequency is smaller than the energy cutoff of the system-reservoir coupling.
5 pages, 1 figure
References in corpus (15)
- Photovoltaic Hall effect in graphene
- The Magnus expansion and some of its applications
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Driven quantum transport on the nanoscale
- Dynamical control of matter-wave tunneling in periodic potentials
- Tunable gauge potential for neutral and spinless particles in driven lattices
- Equilibrium states of generic quantum systems subject to periodic driving
- Periodically driven ergodic and many-body localized quantum systems
- Dissipative Floquet Topological Systems
- Occupation of topological Floquet bands in open systems
- Condition for emergence of the Floquet-Gibbs state in periodically driven open systems
- Statistical mechanics of Floquet systems with regular and chaotic states
- Classification of Floquet Statistical Distribution for Time-Periodic Open Systems
- Floquet systems coupled to particle reservoirs
- Floquet resonant states and validity of the Floquet-Magnus expansion in the periodically driven Friedrichs models