Hierarchical-environment-assisted non-Markovian and its effect on thermodynamic properties

Abstract

We consider a microscopic collision model, i.e., a quantum system interacts with a hierarchical environment consisting of an auxiliary system and a reservoir. We show how the non-Markovian character of the system is influenced by the coupling strength of system-auxiliary system and auxiliary system-reservoir, initial system-environment correlations and the coherence of environment. Then we study the relation between non-Markovianity and thermodynamics properties, by studying the entropy change of system especially that from heat exchanges with memory effects, and we reveal the essence of entropy change between positive and negative values during non-Markovian evolution is due to the contribution of heat flux determined by coherence. And the information flow between the system and environment is always accompanied by energy exchange.

References in corpus (45)

• 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
• Measure for the Non-Markovianity of Quantum Processes
• General non-Markovian dynamics of open quantum systems
• Quantum channels and memory effects
• Thermalizing Quantum Machines: Dissipation and Entanglement
• Convolutionless Non-Markovian master equations and quantum trajectories: Brownian motion revisited
• Observation of non-Markovian dynamics of a single quantum dot in a micropillar cavity
• Exact master equations for the non-Markovian decay of a qubit
• Master equations for correlated quantum channels
• Measuring non-Markovianity of processes with controllable system-environment interaction
• Thermodynamics of weakly coherent collisional models
• Landauer's principle in multipartite open quantum system dynamics
• Collision model for non-Markovian quantum dynamics
• Composite quantum collision models
• Collisional quantum thermometry
• Simulation of indivisible qubit channels in collision models
• Non-Markovianity and System-Environment Correlations in a microscopic collision model
• System-environment correlations and Markovian embedding of quantum non-Markovian dynamics
• Experimental investigation of initial system-environment correlations via trace distance evolution
• Implications of non-Markovian dynamics for the Landauer bound
• Exploiting Non-Markovianity of the Environment for Quantum Control
• Non-Markovian decoherence of localized nanotube excitons by acoustic phonons
• Distance growth of quantum states due to initial system--environment correlations
• Environmental correlations and Markovian to non-Markovian transitions in collisional models
• Proposed method for direct measurement of non-Markovian character of the qubits coupled to bosonic reservoirs
• An effective method of calculating the non-Markovianity $\mathcal{N}$ for single channel open systems
• Crossover Between Non-Markovian and Markovian Dynamics Induced by a Hierarchical Environment
• Driving-dependent damping of Rabi oscillations in two-level semiconductor systems
• Heat flux dynamics in dissipative cascaded systems
• Temperature effects on quantum non-Markovianity via collision models
• A classical appraisal of quantum definitions of non-Markovian dynamics
• Probing the degree of non-Markovianity for independent and common environments
• Validity of Landauer principle and quantum memory effects via collision models
• Two-qubit non-Markovianity induced by a common environment
• A quantum non-Markovian collision model: incoherent swap case
• Coarse graining a non-Markovian collisional model
• Thermodynamic fingerprints of non-Markovianity in a system of coupled superconducting qubits
• A Knob for Markovianity
• Effect of coherence of nonthermal reservoirs on heat transport in a microscopic collision model
• Non-Markovian dynamics for an open two-level system without rotating wave approximation: Indivisibility versus backflow of information
• Information scrambling in a collision model
• Coherent exciton dynamics in a dissipative environment maintained by an off-resonant vibrational mode