Center for Emergent Matter Science, RIKEN, Wakoshi, Saitama 351-0198, Japan.
Department of Physics, Shizuoka University, Shizuoka 422-8529, Japan.
Phys Rev E. 2017 Jan;95(1-1):012136. doi: 10.1103/PhysRevE.95.012136. Epub 2017 Jan 23.
By introducing a temporal change time scale τ_{A}(t) for the time-dependent system Hamiltonian, a general formulation of the Markovian quantum master equation is given to go well beyond the adiabatic regime. In appropriate situations, the framework is well justified even if τ_{A}(t) is faster than the decay time scale of the bath correlation function. An application to the dissipative Landau-Zener model demonstrates this general result. The findings are applicable to a wide range of fields, providing a basis for quantum control beyond the adiabatic regime.
通过引入依赖时间的系统哈密顿量的时间变化标度τ_{A}(t),给出了马氏量子主方程的一般表述,使其能够超越绝热范围。在适当的情况下,即使τ_{A}(t)快于浴相关函数的衰减时间标度,该框架也是合理的。将其应用于耗散的 Landau-Zener 模型证明了这一普遍结果。这些发现适用于广泛的领域,为超越绝热范围的量子控制提供了基础。