Multiparty Spohn's theorem for a combination of local Markovian and non-Markovian quantum dynamics
arXiv:2208.13026 · doi:10.1103/PhysRevA.110.012451
Abstract
We obtain a Gorini-Kossakowski-Sudarshan-Lindblad -like master equation for two or more quantum systems connected locally to a combination of Markovian and non-Markovian heat baths. The master equation was originally formulated for multiparty systems with either exclusively Markovian or non-Markovian environments. We extend it to encompass the case of multiple quantum systems connected to a mixture of Markovian and non-Markovian heat baths. The coexistence of both non-Markovian and Markovian environments is a plausible scenario, particularly when studying hybrid physical systems such as atom-photon arrangements. We analyze the thermodynamic quantities for such a set of local environments, and derive a modified form of the Spohn's theorem for the setup. The modification of the theorem naturally leads to a witness as well as an easily computable quantifier of non-Markovianity. Expectedly, we find that for multiparty situations, where a combination of Markovian and non-Markovian heat baths are active, the response in thermodynamic system characteristics due to non-Markovian baths is prominent at times close to the initial time of evolution, whereas the long-time behavior is predominantly controlled by the Markovian ones.
arXiv comment12 pages, 3 figures
References in corpus (80)
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Entanglement and non-Markovianity of quantum evolutions
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Quantum Thermodynamics
- The role of quantum information in thermodynamics --- a topical review
- Open Quantum Systems. An Introduction
- Quantum Thermodynamics
- The second laws of quantum thermodynamics
- Fundamental aspects of steady-state conversion of heat to work at the nanoscale
- Quantum heat engines and refrigerators: Continuous devices
- Theory of the spin bath
- Entropy production as correlation between system and reservoir
- Quantum Equivalence and Quantum Signatures in Heat Engines
- On measures of non-Markovianity: divisibility vs. backflow of information
- Non-Markovian dynamics in a spin star system: Exact solution and approximation techniques
- The Quantum Absorption Refrigerator
- Quantum thermal transistor
- The Quantum Four Stroke Heat Engine: Thermodynamic Observables in a Model with Intrinsic Friction
- Nonequilibrium entropy production for open quantum systems
- Perspective: Quantum Thermodynamics
- Performance bound for quantum absorption refrigerators
- Extraction of work from a single thermal bath in the quantum regime
- Quantum thermal absorption machines: refrigerators, engines and clocks
- Quantum thermodynamic cooling cycle
- Thermodynamics of quantum systems under dynamical control
- Thermodynamic universality of quantum Carnot engines
- Entropy production along nonequilibrium quantum jump trajectories
- Measurement of Stochastic Entropy Production
- Non-Markovianity and negative entropy production rates
- A User-Friendly Hybrid Sparse Matrix Class in C++
- The Wigner Entropy Production Rate
- Equivalence of the measures of non-Markovianty for open two-level systems
- Exact master equation for a spin interacting with a spin bath: Non-Markovianity and negative entropy production rate
- Thermodynamic meaning and power of non-Markovianity
- Correlated projection operator approach to non-Markovian dynamics in spin baths
- Unifying paradigms of quantum refrigeration: A universal and attainable bound on cooling
- Entropy Production Rate is Maximized in Non-Contractile Actomyosin
- Quantum jumps and entropy production
- Entropy production of cyclic population dynamics
- Quantum thermodynamically consistent local master equations
- Entropy production and non-Markovian dynamical maps
- Entropy production and correlations in a controlled non-Markovian setting
- Coulomb-coupled quantum-dot thermal transistors
- Experimental assessment of entropy production in a continuously measured mechanical resonator
- Statistics of Entropy Production in Linearized Stochastic System
- Critical behavior of entropy production and learning rate: Ising model with an oscillating field
- Effect of random interactions in spin baths on decoherence
- Compatibility of linear-response theory with the Second Law of Thermodynamics and the emergence of negative entropy production rates
- Response functions as quantifiers of non-Markovianity
- From Rényi Relative Entropic Generalization to Quantum Thermodynamical Universality
- Thermal transistor effect in quantum systems
- Hybrid quantum photonics based on artificial atoms placed inside one hole of a photonic crystal cavity
- Comparison of Entropy Production Rates in Two Different Types of Self-organized Flows: Bénard Convection and Zonal flow
- Steady state entropy production rate for scalar Langevin field theories
- Entropy production rates of the climate
- Thermodynamic utility of Non-Markovianity from the perspective of resource interconversion
- Entropy production rate as a criterion for inconsistency in decision theory
- Negative entropy production rates in Drude-Sommerfeld metals
- Entropy production rate of nonequilibrium systems from the Fokker-Planck equation
- Free energy and entropy production rate for a Brownian particle that walks on overdamped medium
- Quantifying non-Markovianity via conditional mutual information
- Charge Transport and Entropy Production Rate in Magnetically Active Molecular Dimer
- Asymptotics of Sample Entropy Production Rate for Stochastic Differential Equations
- Wehrl entropy production rate across a dynamical quantum phase transition
- Assessing the role of initial correlations in the entropy production rate for non-equilibrium harmonic dynamics
- Measurement of entropy production rate in compressible turbulence
- Non-Markovianity Quantifier of an Arbitrary Quantum Process
- Information Landscape and Flux, Mutual Information Rate Decomposition and Entropy Production
- Carnot efficiency and zero-entropy-production rate do not guarantee reversibility of a process
- Entropy production in systems with random transition rates
- Heat current and entropy production rate in local non-Markovian quantum dynamics of global Markovian evolution
- The Large Deviation Principle and Steady-state Fluctuation Theorem for the Entropy Production Rate of a Stochastic Process in Magnetic Fields
- Asymptotics of the entropy production rate for -dimensional Ornstein-Uhlenbeck processes
- Large Deviations of the Entropy Production Rate for a Class of Gaussian Processes
- Temporal extensivity of Tsallis' entropy and the bound on entropy production rate
- Nearly Markovian maps and entanglement-based bound on corresponding non-Markovianity
- Escape-rate formalism, decay to steady states, and divergences in the entropy-production rate
- Measurement of irreversibility and entropy production via the tubular ensemble
- A model of Josephson Junctions on Boson Systems - Currents and Entropy Production Rate -
- Irreversible spherical model and its stationary entropy production rate