Environmental correlations and Markovian to non-Markovian transitions in collisional models

Abstract

We investigate the smallest set of requirements for inducing non-Markovian dynamics in a collisional model of open quantum systems. This is done by introducing correlations in the state of the environment and analyzing the divisibility of the quantum maps from consecutive time steps. Our model and results serve as a platform for the microscopic study of non-Markovian behavior as well as an example of a simple scenario of non-Markovianity with purely contractive maps, i.e. with no back-flow of information between system and environment.

Revised version, session added, references added

References in corpus (10)

• Quantum Non-Markovianity: Characterization, Quantification and Detection
• Assessing non-Markovian dynamics
• Progressive field-state collapse and quantum non-demolition photon counting
• Vanishing quantum discord is necessary and sufficient for completely positive maps
• Collision-model-based approach to non-Markovian quantum dynamics
• Simulation of indivisible qubit channels in collision models
• Vanishing quantum discord is not necessary for completely-positive maps
• Unification of witnessing initial system-environment correlations and witnessing non-Markovianity
• Quantum discord and non-Markovianity of quantum dynamics
• Positivity in the presence of initial system-environment correlation

Cited by in corpus (23)

• Quantum collision models: open system dynamics from repeated interactions
• Composite quantum collision models
• Divisibility of quantum dynamical maps and collision models
• All-optical non-Markovian stroboscopic quantum simulator
• Collisional unfolding of quantum Darwinism
• Coarse graining a non-Markovian collisional model
• Quantum non-Markovian piecewise dynamics from collision models
• Efficiency of quantum controlled non-Markovian thermalization
• Battery charging in collision models with Bayesian risk strategies
• Quantum Critical Probing and Simulation of Colored Quantum Noise
• Quantum homogenization in non-Markovian collisional model
• Correlations break homogenization
• Dissipation induced information scrambling in a collision model
• A solvable class of non-Markovian quantum multipartite dynamics
• Queued quantum collision models
• Quantum non-Markovian "casual bystander" environments
• Interplay between Non-Markovianity of Noise and Dynamics in Quantum Systems
• Transient Dynamics and Homogenization in Incoherent Collision Models
• Unifying Collisional Models and the Monte Carlo Metropolis Method: Algorithms for Dynamics of Open Quantum Systems
• Unveiling the Markovian to non-Markovian transition with quantum collision models
• Violation of the thermodynamic uncertainty relation in quantum collisional models
• Superactivation of memory effects in a classical Markov environment
• Efficient and operational quantifier of non-divisibility in terms of channel discrimination