Quantum fluctuation theorem for heat exchange in the strong coupling regime
arXiv:1106.0353 · doi:10.1103/PhysRevB.84.161414
Abstract
We study quantum heat exchange in a multi-state impurity coupled to two thermal reservoirs. Allowing for strong system-bath interactions, we show that a steady-state heat exchange fluctuation theorem holds, though the dynamical processes nonlinearly involve the two reservoirs. We accomplish a closed expression for the cumulant generating function, and use it obtain the heat current and its cumulants in a nonlinear thermal junction, the two-bath spin-boson model.
References in corpus (10)
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Energy Dissipation and Transport in Nanoscale Devices
- Heat conduction in molecular transport junctions
- Berry-Phase induced Heat Pumping and its Impact on the Fluctuation Theorem
- Counting Statistics of Non-Markovian Quantum Stochastic Processes
- Symmetry in Full Counting Statistics, Fluctuation Theorem, and Relations among Nonlinear Transport Coefficients in the Presence of a Magnetic Field
- Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects
- Fluctuation theorems for continuously monitored quantum fluxes
- Meir-Wingreen formula for heat transport in a spin-boson nanojunction model
- Macroscopic proof of the Jarzynski-Wojcik fluctuation theorem for heat exchange
Cited by in corpus (37)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Nonequilibrium thermodynamics in the strong coupling and non-Markovian regime based on a reaction coordinate mapping
- Nonequilibrium Energy Transfer at Nanoscale: A Unified Theory from Weak to Strong Coupling
- Vibrational cooling, heating, and instability in molecular conducting junctions: Full counting statistics analysis
- Single atom energy-conversion device with a quantum load
- Kondo signature in heat transfer via a local two-state system
- Electron transfer across a thermal gradient
- Coherences and the thermodynamic uncertainty relation: Insights from quantum absorption refrigerators
- Quantum Rabi model for N-state atoms
- Quantum energy exchange and refrigeration: A full-counting statistics approach
- Path-integral methodology and simulations of quantum thermal transport: Full counting statistics approach
- Single electron transistor strongly coupled to vibrations: Counting Statistics and Fluctuation Theorem
- Dynamic control of quantum geometric heat flux in a nonequilibrium spin-boson model
- Current fluctuations in quantum absorption refrigerators
- Non-equilibrium quantum transport coefficients and the transient dynamics of full counting statistics in the strong coupling and non-Markovian regimes
- Tensor network simulation of chains of non-Markovian open quantum systems
- Nonequilibrium spin-boson model: from weak to strong coupling
- Energy current and its statistics in the nonequilibrium spin-boson model: Majorana fermion representation
- OQuPy: A Python package to efficiently simulate non-Markovian open quantum systems with process tensors
- Transport with ultracold atoms at constant density
- Strong system-bath coupling induces negative differential thermal conductance and heat amplification in nonequilibrium two-qubits systems
- The reaction coordinate mapping in quantum thermodynamics
- Thermodynamics of the polaron master equation at finite bias
- Interfacial thermal transport with strong system-bath coupling: A phonon delocalization effect
- Frequency-dependent current noise in quantum heat transfer with full counting statistics
- Heat transfer statistics in mixed quantum-classical systems
- Fluctuations of the heat exchanged between two quantum spin chains
- Strong Coupling Quantum Thermodynamics far away from Equilibrium: Non-Markovian Transient Quantum Heat and Work
- Stochastic Thermodynamics in a Non-Markovian Dynamical System
- Large Deviations and Fluctuation Theorem for the Quantum Heat Current
- A polaron theory of quantum thermal transistor in nonequilibrium three-level systems
- Unifying quantum heat transfer in a nonequilibrium spin-boson model with full counting statistics
- Nonequilibrium steady state transport of collective-qubit system in strong coupling regime
- Unifying quantum heat transfer and superradiant signature in a nonequilibrium collective-qubit system: a polaron-transformed Redfield approach
- Understanding and utilizing the inner bonds of process tensors
- Heat operator approach to quantum stochastic thermodynamics in the strong-coupling regime
- Photonic heat transport from weak to strong coupling