Finite-Bath Open Quantum Systems: Exact Dynamics
arXiv:2511.07180 · doi:10.1063/5.0323945
Abstract
In this work, we introduce a method for deriving exact master equations from the dynamical map for finite open quantum systems coupled to (in)finite reservoirs, using the principle of minimal dissipation. The exact dynamics of the central spin model, which models a finite-bath open quantum system, is developed for two interaction types: Heisenberg and stochastic pure-dephasing interactions. The Heisenberg interaction yields a novel phase-covariant quantum channel in the strong-coupling regime, offering a new platform for studying a range of quantum information protocols. The stochastic pure-dephasing interaction provides the microscopic derivation of the paradigmatic non-Markovian random telegraph noise (RTN) channel, establishing its quantum foundation and offering insight into stochastic couplings. We derive the closed-form master equations for both models. As a demonstration, we explore the thermodynamic performance of these systems as quantum batteries. A direct relationship between quantum heat current and charging power is revealed, and RTN quantum batteries are shown to have advantages in charge storage.
19 pages, 4 figures
References in corpus (53)
- Non-Markovian dynamics in open quantum systems
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Quantum Thermodynamics
- Maximal work extraction from quantum systems
- Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
- Quantum speed limit for physical processes
- Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
- Quantum speed limits in open system dynamics
- Irreversible entropy production, from quantum to classical
- Canonical form of master equations and characterization of non-Markovianity
- Colloquium: Quantum Batteries
- Completely positive maps with memory
- Low-frequency noise as a source of dephasing of a qubit
- Non-Gaussian low-frequency noise as a source of qubit decoherence
- The ultimate precision limits for noisy frequency estimation
- NMR investigations of quantum battery using star-topology spin systems
- Decoherence in qubits due to low-frequency noise
- Current fluctuations in open quantum systems: Bridging the gap between quantum continuous measurements and full counting statistics
- Thermodynamics of non-Markovian reservoirs and heat engines
- Beneficial and detrimental entanglement for quantum battery charging
- Nakajima-Zwanzig versus time-convolutionless master equation for the non-Markovian dynamics of a two-level system
- Exact master equation for a spin interacting with a spin bath: Non-Markovianity and negative entropy production rate
- Quantum master equation for a system influencing its environment
- Topological Quantum Batteries
- Fundamental limits to frequency estimation: A comprehensive microscopic perspective
- Non-Markovian dynamics of a qubit coupled to an Ising spin bath
- Non-Markovian evolution: a quantum walk perspective
- All-optical quantum simulator of qubit noisy channels
- Temporal self-similarity of quantum dynamical maps as a concept of memorylessness
- Open-system approach to nonequilibrium quantum thermodynamics at arbitrary coupling
- Quantum systems correlated with a finite bath: nonequilibrium dynamics and thermodynamics
- Quantum dephasing induced by non-Markovian random telegraph noise
- Phase covariant qubit dynamics and divisibility
- Thermometry of Strongly Correlated Fermionic Quantum Systems using Impurity Probes
- Control of open quantum systems: Case study of the central spin model
- Experimental investigation of the effect of classical noise on quantum non-Markovian dynamics
- Dynamics and thermodynamics of a central spin immersed in a spin bath
- Exact solution of a model of qubit dephasing due to telegraph noise
- Non-Hermitian Pseudomodes for Strongly Coupled Open Quantum Systems: Unravelings, Correlations and Thermodynamics
- Optical Superradiance from Nuclear Spin Environment of Single Photon Emitters
- A pseudo-fermion method for the exact description of fermionic environments: from single-molecule electronics to Kondo resonance
- A canonical Hamiltonian for open quantum systems
- Finite size bath in qubit thermodynamics
- Open quantum systems coupled to finite baths: A hierarchy of master equations
- Strong coupling non-Markovian quantum thermodynamics of a finite-bath system
- Quantum simulation of the central spin model with a Rydberg atom and polar molecules in optical tweezers
- Dynamics of a quantum system interacting with white non-Gaussian baths: Poisson noise master equation
- Dynamics of two central spins immersed in spin baths
- Quantum Thermal Analogs of Electric Circuits: A Universal Approach
- Long-time relaxation of a finite spin bath linearly coupled to a qubit
- Optimal qubit-mediated quantum heat transfer via noncommuting operators and strong coupling effects
- Unveiling coherent dynamics in non-Markovian open quantum systems: exact expression and recursive perturbation expansion
- Thermal electron spin flip in quantum dots