Coarse graining a non-Markovian collisional model

Abstract

The dynamics of systems subjected to noise is called Markovian in the absence of memory effects, i.e. when its immediate future only depends on its present. Time correlations in the noise source may generate non-Markovian effects that, sometimes, can be erased by appropriately coarse graining the time evolution of the system. In general, the coarse graining time $t_{\text{CG}}$ is taken to be much larger than the correlation time $\tau$ but no direct relation between them is established. Here we analytically obtain a relation between $t_{\text{CG}}$ and $\tau$ for the dynamics of a qubit subjected to a time correlated environment. Our results can be applied in principle to any distribution of the environmental correlations and can be tested through a collisional model where the qubit sequentially interacts with correlated qutrits.

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• Validity of Landauer principle and quantum memory effects via collision models
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• Effect of coherence of nonthermal reservoirs on heat transport in a microscopic collision model
• Battery charging in collision models with Bayesian risk strategies
• Emerging dynamics arising from coarse-grained quantum systems
• Memory kernel and divisibility of Gaussian Collisional Models
• Quantum Darwinism and non-Markovianity in a model of quantum harmonic oscillators
• Quantum Critical Probing and Simulation of Colored Quantum Noise
• From a posteriori to a priori solutions for a two-level system interacting with a single-photon wavepacket
• Quantum homogenization in non-Markovian collisional model
• Correlations break homogenization
• Dissipation induced information scrambling in a collision model
• Lindblad Formalism based on Fermion-to-Qubit mapping for Non-equilibrium Open-Quantum Systems
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• Purely quantum memory in closed systems observed via imperfect measurements
• Hierarchical-environment-assisted non-Markovian and its effect on thermodynamic properties