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.

arXiv commentRevised version, session added, references added

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Cited by in corpus (51)

• Non-Markovian dynamics in open quantum systems
• Quantum collision models: open system dynamics from repeated interactions
• Completely Positive Divisibility Does Not Mean Markovianity
• Composite quantum collision models
• Experimental observation of weak non-Markovianity
• Collision models can efficiently simulate any multipartite Markovian quantum dynamics
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• Collision models in quantum optics
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• Divisibility of quantum dynamical maps and collision models
• Experimental detection of quantum coherent evolution through the violation of Leggett-Garg-type inequalities
• Collisional picture of quantum optics with giant emitters
• All-optical non-Markovian stroboscopic quantum simulator
• The Structure of Quantum Stochastic Processes with Finite Markov Order
• Temperature effects on quantum non-Markovianity via collision models
• Class of exact memory-kernel master equations
• Quantum synchronization in a collision model
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• High Resolution non-Markovianity in NMR
• Quantum non-Markovian piecewise dynamics from collision models
• Efficiency of quantum controlled non-Markovian thermalization
• Gaussian interferometric power as a measure of continuous variable non-Markovianity
• Effect of coherence of nonthermal reservoirs on heat transport in a microscopic collision model
• Battery charging in collision models with Bayesian risk strategies
• Exponential improvement for quantum cooling through finite-memory effects
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• Quantum Critical Probing and Simulation of Colored Quantum Noise
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