6533b859fe1ef96bd12b8215
RESEARCH PRODUCT
Class of exact memory-kernel master equations
G. Massimo PalmaFrancesco CiccarelloSalvatore Lorenzosubject
PhysicsQuantum PhysicsPure mathematicsClass (set theory)Kernel (set theory)FOS: Physical sciencesState (functional analysis)open quantum systems01 natural sciencesmarkovian dynamicsSettore FIS/03 - Fisica Della Materia010305 fluids & plasmas3. Good healthopen quantum systemsOpen quantum systemcollision modelsProduct (mathematics)Quantum mechanics0103 physical sciencesMaster equationDissipative systemBipartite graphQuantum Physics (quant-ph)010306 general physicsnon markovian dynamicsdescription
A well-known situation in which a non-Markovian dynamics of an open quantum system $S$ arises is when this is coherently coupled to an auxiliary system $M$ in contact with a Markovian bath. In such cases, while the joint dynamics of $S$-$M$ is Markovian and obeys a standard (bipartite) Lindblad-type master equation (ME), this is in general not true for the reduced dynamics of $S$. Furthermore, there are several instances (\eg the dissipative Jaynes-Cummings model) in which a {\it closed} ME for the $S$'s state {\it cannot} even be worked out. Here, we find a class of bipartite Lindblad-type MEs such that the reduced ME of $S$ can be derived exactly and in a closed form for any initial product state of $S$-$M$. We provide a detailed microscopic derivation of our result in terms of a mapping between two collision models
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-03-01 | Physical Review A |