Strong coupling non-Markovian quantum thermodynamics of a finite-bath system
arXiv:2404.15915 · doi:10.1063/5.0254029
Abstract
The focus is on understanding the quantum thermodynamics of strongly coupled non-Markovian quantum systems. To this end, a non-trivial, non-Markovian model of a central spin surrounded by a spin bath is taken up, and its exact evolution is derived for arbitrary system-bath couplings. The fundamental quantum thermodynamic quantities, such as system and bath internal energies, work, heat, entropy production, and ergotropy, are calculated using the dynamics and original system (bath) Hamiltonian. An explicit expression for the work, a mismatch between the system and bath internal energies, is derived. The thermodynamic entropy of the system at thermal equilibrium is studied using the Hamiltonian of mean force in the strong coupling regime. The role of a canonical Hamiltonian in calculating the above thermodynamic quantities, a recently developed technique, is also investigated. Further, an interesting observation relevant to the spin bath acting as a charger is made in a scenario where the central spin is envisaged as a quantum battery.
18 pages, 8 figures
References in corpus (26)
- Quantum Thermodynamic Cycles and quantum heat engines
- Non-Markovian dynamics in a spin star system: Exact solution and approximation techniques
- NMR investigations of quantum battery using star-topology spin systems
- Work extremum principle: Structure and function of quantum heat engines
- Entanglement and work extraction in the central-spin quantum battery
- Exact master equation for a spin interacting with a spin bath: Non-Markovianity and negative entropy production rate
- Non-Markovian dynamics of a single electron spin coupled to a nuclear spin bath
- Non-Markovian dynamics of a qubit coupled to an Ising spin bath
- Leggett-Garg inequality in the context of three flavour neutrino oscillation
- Thermodynamics and Fluctuation Theorems for a Strongly Coupled Open Quantum System: An Exactly Solvable Case
- Non-Markovian Decay of a Three Level Cascade Atom in a Structured Reservoir
- Open-system approach to nonequilibrium quantum thermodynamics at arbitrary coupling
- Finite-time performance of a single-ion quantum Otto engine
- Symmetry-noise interplay in quantum walk on an n-cycle
- Hamiltonian of mean force in the weak-coupling and high-temperature approximations and refined quantum master equations
- A canonical Hamiltonian for open quantum systems
- Impact of non-Markovian quantum Brownian motion on quantum batteries
- Thermodynamics of one and two-qubit nonequilibrium heat engines running between squeezed thermal reservoirs
- Switching the function of the quantum Otto cycle in non-Markovian dynamics: heat engine, heater and heat pump
- Dynamically Emergent Quantum Thermodynamics: Non-Markovian Otto Cycle
- Quantum correlations and speed limit of central spin system
- Strong Coupling Quantum Thermodynamics far away from Equilibrium: Non-Markovian Transient Quantum Heat and Work
- Impact of non-Markovian evolution on characterizations of quantum thermodynamics
- Extended dissipaton equation of motion for electronic open quantum systems: Application to the Kondo impurity model
- Dynamics of two central spins immersed in spin baths
- Functional integral treatment of some quantum nondemolition systems
Cited by in corpus (10)
- Quantum Thermal Analogs of Electric Circuits: A Universal Approach
- Open quantum systems with particle and bath driven by time-dependent fields
- (Thermo-)dynamics of the spin-boson model in the weak coupling regime: Application as a quantum battery
- Unveiling coherent dynamics in non-Markovian open quantum systems: exact expression and recursive perturbation expansion
- Quantum Thermodynamics of Open Quantum Systems: Nature of Thermal Fluctuations
- Quantum Chaos in Non-Markovian Open Quantum Systems: Interferometric OTOC, Loschmidt Echo and Commutator Operator Norm
- Symmetric Two-Level Open Quantum Systems: Information Theoretic Facets
- Interferometric and Bipartite OTOC for Non-Markovian Open Quantum Spin-Chains and Lipkin-Meshkov-Glick Model
- Collective Quantum Batteries and Charger-Battery Setup in Open Quantum Systems: Impact of Inter-Qubit Interactions, Dissipation, and Quantum Criticality
- Finite-Bath Open Quantum Systems: Exact Dynamics