System-environment correlations and Non-Markovian dynamics

Abstract

We determine the total state dynamics of a dephasing open quantum system using the standard environment of harmonic oscillators. Of particular interest are random unitary approaches to the same reduced dynamics and system-environment correlations in the full model. Concentrating on a model with an at times negative dephasing rate, the issue of "non-Markovianity" will also be addressed. Crucially, given the quantum environment, the appearance of non-Markovian dynamics turns out to be accompanied by a loss of system-environment correlations. Depending on the initial purity of the qubit state, these system-environment correlations may be purely classical over the whole relevant time scale, or there may be intervals of genuine system-environment entanglement. In the latter case, we see no obvious relation between the build-up or decay of these quantum correlations and "Non-Markovianity".

References in corpus (13)

• Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
• Entanglement and non-Markovianity of quantum evolutions
• Assessing non-Markovian dynamics
• Experimental control of the transition from Markovian to non-Markovian dynamics of open quantum systems
• Vanishing quantum discord is necessary and sufficient for completely positive maps
• Completely Positive Maps and Classical Correlations
• Inverting quantum decoherence by classical feedback from the environment
• Quantum Decoherence of Two Qubits
• Decoherence and the Nature of System-Environment Correlations
• Quantum discord and non-Markovianity of quantum dynamics
• Characterization of Decoherence from an Environmental Perspective
• Decoherence and Entanglement Dynamics in Fluctuating Fields
• Environment-Assisted Error Correction of Single-Qubit Phase Damping

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• Quantum Metrology in Open Systems: Dissipative Cramér-Rao Bound
• Non-Markovianity of a quantum emitter in front of a mirror
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• Sensitivity of quantum information to environment perturbations measured with a non-local out-of-time-order correlation function
• Interaction-induced correlations and non-Markovianity of quantum dynamics
• Mixing-induced quantum non-Markovianity and information flow
• Quantum non-Markovianity: Overview and recent developments
• Criteria for system-environment entanglement generation for systems of any size in pure-dephasing evolutions
• Correlated Quantum Dynamics of a Single Atom Collisionally Coupled to an Ultracold Finite Bosonic Ensemble
• Monogamy and backflow of mutual information in non-Markovian thermal baths
• System-environment correlations for dephasing two-qubit states coupled to thermal baths
• On the connection between microscopic description and memory effects in open quantum system dynamics
• Effective description of the short-time dynamics in open quantum systems
• Entanglement generation between a charge qubit and its bosonic environment during pure dephasing - dependence on environment size
• Detection of entanglement during pure dephasing evolutions for systems and environments of any size
• Transfer and teleportation of system-environment entanglement
• Quantum and classical contributions to entropy production in fermionic and bosonic Gaussian systems
• Qubit-environment entanglement outside of pure decoherence: hyperfine interaction
• Quantum speed limit from a quantum-state-diffusion method
• Quantum irreversible decoherence behaviour in open quantum systems with few degrees of freedom. Application to 1H NMR reversion experiments in nematic liquid crystals
• Quantum Steering on IBMQ
• System-bath entanglement of noninteracting fermionic impurities: Equilibrium, transient, and steady-state regimes
• Effects of symmetry breaking of the structurally-disordered Hamiltonian ensembles on the anisotropic decoherence of qubits
• Interplay between Non-Markovianity of Noise and Dynamics in Quantum Systems
• Verifying Quantum Memory in the Dynamics of Spin Boson Models
• Perturbation theory under the truncated Wigner approximation reveals how system-environment entanglement formation drives quantum decoherence
• Non-Markovian processes in quantum theory