Quantum non-Markovian piecewise dynamics from collision models

Abstract

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.

18 pages, 1 figures. Submitted to "Open Systems and Information Dynamics" as a contribution to the upcoming special issue titled "40 years of the GKLS equation"

References in corpus (22)

• Non-Markovian dynamics in open quantum systems
• Quantum Non-Markovianity: Characterization, Quantification and Detection
• Thermalizing Quantum Machines: Dissipation and Entanglement
• Foundations and Measures of Quantum Non-Markovianity
• Non-Markovian dynamics of a qubit
• Collision-model-based approach to non-Markovian quantum dynamics
• Time-delayed quantum feedback control
• Master equations for correlated quantum channels
• Quantum Semi-Markov Processes
• Collision model for non-Markovian quantum dynamics
• Simulation of indivisible qubit channels in collision models
• Stochastic Representation of a Class of Non-Markovian Completely Positive Evolutions
• Random Lindblad equations from complex environments
• Environmental correlations and Markovian to non-Markovian transitions in collisional models
• Generalized master equations leading to completely positive dynamics
• Non-Markovian master equations from piecewise dynamics
• Class of exact memory-kernel master equations
• Markovian embedding of non-Markovian quantum collisional models
• General structure of quantum collisional models
• On generalized semi-Markov quantum evolution
• Master equation for cascade quantum channels: a collisional approach
• Non-Markovian quantum jumps from measurements in bipartite Markovian dynamics

Cited by in corpus (29)

• Quantum stochastic processes and quantum non-Markovian phenomena
• System-environment correlations and Markovian embedding of quantum non-Markovian dynamics
• Collision models in open system dynamics: A versatile tool for deeper insights?
• Quantum Markov Order
• An out-of-equilibrium non-Markovian Quantum Heat Engine
• The Structure of Quantum Stochastic Processes with Finite Markov Order
• Temperature effects on quantum non-Markovianity via collision models
• Validity of Landauer principle and quantum memory effects via collision models
• Quantum synchronization in a collision model
• Robust multipartite entanglement generation via a collision model
• State Preparation on Quantum Computers via Quantum Steering
• Exponential improvement for quantum cooling through finite-memory effects
• Efficiency fluctuations in a quantum battery charged by a repeated interaction process
• Stochastic collision model approach to transport phenomena in quantum networks
• Quantum renewal processes
• Non-perturbative simple-generated interactions with a quantum field for arbitrary Gaussian states
• Evolution equations for quantum semi-Markov dynamics
• Memory Effects in Quantum Processes
• Time periodicity from randomness in quantum systems
• Linear response theory for quantum Gaussian processes
• Microscopic modelling of general time-dependent quantum Markov processes
• Quantum Parametric Oscillator Heat Engines in Squeezed Thermal Baths: Foundational Theoretical Issues
• Stochastic versus periodic quantum collision models
• Unitary Evolutions Sourced By Interacting Quantum Memories: Closed Quantum Systems Directing Themselves Using Their State Histories
• Transient Dynamics and Homogenization in Incoherent Collision Models
• Simulating quantum collision models with Hamiltonian simulations using early fault-tolerant quantum computers
• Frontiers of open quantum system dynamics
• Violation of the thermodynamic uncertainty relation in quantum collisional models
• Environment-assisted modulation of heat flux in a bio-inspired system based on collision model