Solving non-Markovian open quantum systems with multi-channel reservoir coupling

Abstract

We extend the non-Markovian quantum state diffusion (QSD) equation to open quantum systems which exhibit multichannel coupling to a harmonic oscillator reservoir. Open quantum systems which have multi-channel reservoir coupling are those in which canonical transformation of reservoir modes cannot reduce the number of reservoir operators appearing in the interaction Hamiltonian to one. We show that the non-Markovian QSD equation for multi-channel reservoir coupling can, in some cases, lead to an exact master equation which we derive. We then derive the exact master equation for the three-level system in a vee-type configuration which has multi-channel reservoir coupling and give the analytical solution. Finally, we examine the evolution of the three-level vee-type system with generalized Ornstein-Uhlenbeck reservoir correlations numerically.

Transient unidirectional energy flow and diode-like phenomenon induced by non-Markovian environments

“…The system takes a Λ-type configuration, with one excited state and two degenerate lower levels, and . The excited state may decay to either of these lower levels, and these dissipation processes (referred as “channels”) are directed by two different baths 55 . The baths are set at zero-temperature .…”

Maximum-entropy description of animal movement

“…(2), (11), or (B1) with any finite number of constraints, even though this model can be considered as an oscillatory generalization of the OU process in other, physical contexts [22][23][24].…”

Excitation transfer pathways in excitonic aggregates revealed by the stochastic Schrödinger equation

“…For the bath we must have the thermal equilibrium, which is described by the canonical density operator. Hence, the initial condition can be defined for the density operator of the composite system as a tensor product [46][47][48][49]:…”

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