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RESEARCH PRODUCT

Quantum Non-Markovian Piecewise Dynamics from Collision Models

Francesco CiccarelloFrancesco CiccarelloG. Massimo PalmaBassano VacchiniSalvatore Lorenzo

subject

non-Markovian dynamicsStatistics and ProbabilityLindblad equationFOS: Physical sciencesMarkov processnon-Markovian dynamic01 natural sciences010305 fluids & plasmasOpen quantum systemsymbols.namesake0103 physical sciencesLimit (mathematics)Statistical physics010306 general physicsQuantumMathematical PhysicsPhysicsQuantum PhysicsStatistical and Nonlinear PhysicsCollisioncollision model; Lindblad equation; non-Markovian dynamics; Open quantum system; Statistical and Nonlinear Physics; Statistics and Probability; Mathematical PhysicsDistribution (mathematics)Open quantum systemPiecewisesymbolscollision modelQuantum Physics (quant-ph)Realization (systems)Statistical and Nonlinear Physic

description

Recently, a large class of quantum non-Markovian piecewise dynamics for an open quantum system obeying closed evolution equations has been introduced [B. Vacchini, Phys. Rev. Lett. 117, 230401 (2016)]. These dynamics have been defined in terms of a waiting-time distribution between quantum jumps, along with quantum maps describing the effect of jumps and the system's evolution between them. Here, we present a quantum collision model with memory, whose reduced dynamics in the continuous-time limit reproduces the above class of non-Markovian piecewise dynamics, thus providing an explicit microscopic realization.

10.1142/s123016121740011xhttp://hdl.handle.net/10447/271497