Nonequilibrium work distributions in quantum impurity system-bath mixing processes
arXiv:2203.16367 · doi:10.1063/5.0095549
Abstract
The fluctuation theorem, where the central quantity is the work distribution, is an important characterization of nonequilibrium thermodynamics. In this work, based on the dissipaton-equation-of-motion theory, we develop an exact method to evaluate the work distributions in quantum impurity system-bath mixing processes, in the presence of non-Markovian and strong couplings. Our results not only precisely reproduce the Jarzynski equality and Crooks relation, but also reveal rich information on large deviation. The numerical demonstrations are carried out with a spin-boson model system.
arXiv comment6 pages, 4 figures
References in corpus (33)
- A nonequilibrium equality for free energy differences
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
- Entropy production along a stochastic trajectory and an integral fluctuation theorem
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- Microwave photonics with superconducting quantum circuits
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
- Path ensembles averages in systems driven far-from-equilibrium
- A Two Qubit Logic Gate in Silicon
- Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
- Fluctuation theorems: Work is not an observable
- Decay of Loschmidt Echo Enhanced by Quantum Criticality
- Irreversible entropy production, from quantum to classical
- Experimental reconstruction of work distribution and verification of fluctuation relations at the full quantum level
- The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
- Test of Jarzynski and Crooks fluctuation relations in an electronic system
- Experimental Free Energy Surface Reconstruction From Single-Molecule Force Spectroscopy Using Jarzynski's Equality
- {\it Colloquium:} Statistical Mechanics and Thermodynamics at Strong Coupling: Quantum and Classical
- A superconducting qubit with Purcell protection and tunable coupling
- Quantum Quench Dynamics in the Transverse Field Ising Model at Non-zero Temperatures
- Entropy Production in Open Systems: The Predominant Role of Intra-Environment Correlations
- Out-of-equilibrium operation of a quantum heat engine: The cost of thermal coupling control
- Generalized Gibbs ensemble and work statistics of a quenched Luttinger liquid
- Tunable inductive coupling of superconducting qubits in the strongly nonlinear regime
- Work distributions on quantum fields
- Engineering dynamical couplings for quantum thermodynamic tasks
- Equilibrium and transient thermodynamics: A unified dissipaton-space approach
- Transport through an impurity tunnel coupled to a Si/SiGe quantum dot
- System-bath entanglement theorem with Gaussian environments
- Quantum Work Fluctuations in connection with Jarzynski Equality
- Open Quantum Dynamics Theory for Non-Equilibrium Work: Hierarchical Equations of Motion Approach
- Theoretical formulations on thermodynamics of quantum impurity systems
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- Quantum mechanics of open systems: Dissipaton theories
- Thermodynamic quantum Fokker-Planck equations and their application to thermostatic Stirling engine
- Open quantum systems with nonlinear environmental backactions: Extended dissipaton theory versus core-system hierarchy construction
- Dissipatons as generalized Brownian particles for open quantum systems: Dissipaton-embedded quantum master equation
- Generalized Quantum Fluctuation Theorem for Energy Exchange
- Classical and quantum thermodynamics in a non-equilibrium regime: Application to Stirling engine
- Classical and quantum thermodynamics described as a system-bath model: The dimensionless minimum work principle
- Multimode Brownian oscillators: Exact solutions to heat transport