Heat operator approach to quantum stochastic thermodynamics in the strong-coupling regime
arXiv:2504.10631 · doi:10.1103/8plx-nfvq
Abstract
Heat exchanged between an open quantum system and its environment exhibits fluctuations that carry crucial signatures of the underlying dynamics. Within the well-established two-point measurement scheme, we identify a 'heat operator,' whose moments with respect to the vacuum state of a thermofield-doubled Hilbert space correspond to the stochastic moments of the heat exchanged with a bath. This recasts heat statistics as a unitary time evolution problem, which we solve by combining chain-mapped reservoirs with tensor network propagation. In a multi-bath setup all total and bath-resolved heat moments then follow from a single pure state evolution. We employ this approach to compute transient and steady state heat fluctuations in Ohmic spin-boson models in and out of equilibrium, accessing the challenging low temperature and long memory time regimes of the environment. In the nonequilibrium case, we show a crossover in the Fano factor from super-Poissonian to nearly Poissonian statistics under strong coupling asymmetry, corresponding to thermal rectification behavior. The method applies to noninteracting (bosonic or fermionic) nonequilibrium environments with arbitrary spectral densities, offering a powerful, non-perturbative framework for understanding heat transfer in open quantum systems.
New results added!! Comments and suggestions are welcome. 11 pages and 5 figures
References in corpus (68)
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- Non-Markovian dynamics in open quantum systems
- Matrix Product Density Operators: Simulation of finite-T and dissipative systems
- The ITensor Software Library for Tensor Network Calculations
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Time-dependent variational principle for quantum lattices
- Time-evolution methods for matrix-product states
- Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
- Efficient simulation of strong system-environment interactions
- Irreversible entropy production, from quantum to classical
- Efficient non-Markovian quantum dynamics using time-evolving matrix product operators
- A spin-boson thermal rectifier
- A quantum-dot heat engine operating close to the thermodynamic efficiency limits
- Numerical Renormalization Group for Bosonic Systems and Application to the Subohmic Spin-Boson Model
- Non-perturbative treatment of non-Markovian dynamics of open quantum systems
- Nonequilibrium Green's function method for quantum thermal transport
- Finite temperature dynamical DMRG and the Drude weight of spin-1/2 chains
- {\it Colloquium:} Statistical Mechanics and Thermodynamics at Strong Coupling: Quantum and Classical
- Efficient simulation of finite-temperature open quantum systems
- Thermodynamics of precision in quantum non equilibrium steady states
- Exploiting the causal tensor network structure of quantum processes to efficiently simulate non-Markovian path integrals
- Thermodynamic Bounds on Precision in Ballistic Multi-Terminal Transport
- On the validity of the thermodynamic uncertainty relation in quantum systems
- Vibrational Heat Transport in Molecular Junctions
- First and Second Law of Quantum Thermodynamics: A Consistent Derivation Based on a Microscopic Definition of Entropy
- Numerically exact open quantum systems simulations for arbitrary environments using automated compression of environments
- Open quantum system dynamics and the mean force Gibbs state
- Mappings of open quantum systems onto chain representations and Markovian embeddings
- Energy exchange in driven open quantum systems at strong coupling
- Coherence-enhanced constancy of a quantum thermoelectric generator
- Violating the Thermodynamic Uncertainty Relation in the Three-Level Maser
- Thermofield-based chain mapping approach for open quantum systems
- Density Matrix Renormalization Group in the Heisenberg Picture
- A quasiprobability distribution for heat fluctuations in the quantum regime
- Dissipation-assisted matrix product factorization
- Quantum fluctuations hinder finite-time information erasure near the Landauer limit
- Kondo signature in heat transfer via a local two-state system
- Tensor-network method to simulate strongly interacting quantum thermal machines
- Thermally driven quantum refrigerator autonomously resets superconducting qubit
- An efficient method for quantum impurity problems out of equilibrium
- Quantum heat statistics with time-evolving matrix product operators
- Thermometry of ultracold atoms via non-equilibrium work distributions
- Thermodynamics of precision in quantum nano-machines
- Quantum fluctuation theorem for heat exchange in the strong coupling regime
- Measuring the heat exchange of a quantum process
- Efficient simulation of open quantum systems coupled to a fermionic bath
- Open-system approach to nonequilibrium quantum thermodynamics at arbitrary coupling
- Path-integral methodology and simulations of quantum thermal transport: Full counting statistics approach
- Optimal power and efficiency of single quantum dot heat engines: theory and experiment
- Quantum dynamics in photonic crystals
- Two-level system hyperpolarization using a quantum Szilard engine
- Thermo Field Dynamics and quantum algebras
- Renormalized Lindblad Driving: A Numerically-Exact Nonequilibrium Quantum Impurity Solver
- Non-Hermitian Pseudomodes for Strongly Coupled Open Quantum Systems: Unravelings, Correlations and Thermodynamics
- Open System Tensor Networks and Kramers' Crossover for Quantum Transport
- Nonequilibrium spin-boson model: from weak to strong coupling
- Energy current and its statistics in the nonequilibrium spin-boson model: Majorana fermion representation
- Probabilistically Violating the First Law of Thermodynamics in a Quantum Heat Engine
- A pseudo-fermion method for the exact description of fermionic environments: from single-molecule electronics to Kondo resonance
- Characterizing the performance of heat rectifiers
- Thermodynamics of decoherence
- Key Issues Review: Useful autonomous quantum machines
- The characteristic functions of quantum heat with baths at different temperatures
- Particle current statistics in driven mesoscale conductors
- Efficient computation of cumulant evolution and full counting statistics: application to infinite temperature quantum spin chains
- Quantum turnstiles for robust measurement of full counting statistics
- Non-Markovian Quantum Heat Statistics with the Reaction Coordinate Mapping
- Quantum stochastic thermodynamics in the mesoscopic-leads formulation