Strong coupling effects in quantum thermal transport with the reaction coordinate method
arXiv:2103.05670 · doi:10.1088/1367-2630/ac02df
Abstract
We present a semi-analytical approach for studying quantum thermal energy transport beyond the weak system-bath coupling regime. Our treatment, which results in a renormalized, effective Hamiltonian model is based on the reaction coordinate method. In our technique, applied to the nonequilibrium spin-boson model, a collective coordinate is extracted from each environment and added into the system to construct an enlarged system. After performing additional Hamiltonian's truncation and transformation, we attain an effective two-level system with renormalized parameters, which is weakly coupled to its environments, thus can be simulated using a perturbative Markovian quantum master equation approach. We compare the heat current characteristics in our method to other techniques, and demonstrate that we properly capture strong system-bath signatures such as the turnover behavior of the heat current as a function of system-bath coupling strength. We further investigate the thermal diode effect and demonstrate that strong couplings moderately improve the rectification ratio relative to the weak coupling limit. The effective Hamiltonian method that we developed here offers fundamental insight into the strong coupling behavior, and is computationally economic. Applications of the method towards studying quantum thermal machines are anticipated.
arXiv comment19 pages, 10 figures
References in corpus (47)
- Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems
- Efficient simulation of strong system-environment interactions
- A spin-boson thermal rectifier
- Non-perturbative treatment of non-Markovian dynamics of open quantum systems
- Environmental dynamics, correlations, and the emergence of noncanonical equilibrium states in open quantum systems
- Nonequilibrium thermodynamics in the strong coupling and non-Markovian regime based on a reaction coordinate mapping
- Efficient simulation of finite-temperature open quantum systems
- Performance of a quantum heat engine at strong reservoir coupling
- Molecular heat pump
- Universal Markovian reduction of Brownian particle dynamics
- Virtual excitations in the ultra-strongly-coupled spin-boson model: physical results from unphysical modes
- Vibrational Heat Transport in Molecular Junctions
- Accuracy Assessment of Perturbative Master Equations -- Embracing Non-Positivity
- Mappings of open quantum systems onto chain representations and Markovian embeddings
- Energy transfer in structured and unstructured environments: master equations beyond the Born-Markov approximations
- Quantum Heat Current under Non-perturbative and Non-Markovian Conditions: Applications to Heat Machines
- Fermionic reaction coordinates and their application to an autonomous Maxwell demon in the strong coupling regime
- Nonequilibrium Energy Transfer at Nanoscale: A Unified Theory from Weak to Strong Coupling
- Generalized theory of pseudomodes for exact descriptions of non-Markovian quantum processes
- Kondo signature in heat transfer via a local two-state system
- Tensor-network method to simulate strongly interacting quantum thermal machines
- Non-equilibrium spin-boson model: counting statistics and the heat exchange fluctuation theorem
- Out-of-equilibrium operation of a quantum heat engine: The cost of thermal coupling control
- Heat transfer in the spin-boson model: A comparative study in the incoherent tunneling regime
- From quantum heat engines to laser cooling: Floquet theory beyond the Born-Markov approximation
- Quantum energy exchange and refrigeration: A full-counting statistics approach
- Path-integral methodology and simulations of quantum thermal transport: Full counting statistics approach
- Meir-Wingreen formula for heat transport in a spin-boson nanojunction model
- Non-equilibrium quantum transport coefficients and the transient dynamics of full counting statistics in the strong coupling and non-Markovian regimes
- Markovian Treatment of non-Markovian Dynamics of Open Fermionic Systems
- Nonequilibrium spin-boson model: from weak to strong coupling
- Energy current and its statistics in the nonequilibrium spin-boson model: Majorana fermion representation
- Electron pumping in the strong coupling and non-Markovian regime: A reaction coordinate mapping approach
- Rectification of heat currents across nonlinear quantum chains: A versatile approach beyond weak thermal contact
- Steady state quantum transport through an anharmonic oscillator strongly coupled to two heat reservoirs
- Qubit-mediated energy transfer between thermal reservoirs: beyond Markovian Master equation
- Pushing the limits of the reaction-coordinate mapping
- Heat transport via a local two-state system near thermal equilibrium
- The reaction coordinate mapping in quantum thermodynamics
- Heat transfer statistics in mixed quantum-classical systems
- Pseudomodes and the corresponding transformation of the temperature-dependent bath correlation function
- Quantum dynamics in a tiered non-Markovian environment
- Mean Field Theory of Thermal Energy Transport in Molecular Junctions
- Large Deviations and Fluctuation Theorem for the Quantum Heat Current
- Thermal power of heat flow through a qubit
- Unifying quantum heat transfer in a nonequilibrium spin-boson model with full counting statistics
- Transport through a quantum critical system: A thermodynamically consistent approach
Cited by in corpus (30)
- Open quantum system dynamics and the mean force Gibbs state
- Weak and ultrastrong coupling limits of the quantum mean force Gibbs state
- Hyper-acceleration of quantum thermalization dynamics by bypassing long-lived coherences: An analytical treatment
- Canonically consistent quantum master equation
- Capturing non-Markovian dynamics with the reaction coordinate method
- Non-Hermitian Pseudomodes for Strongly Coupled Open Quantum Systems: Unravelings, Correlations and Thermodynamics
- Multi-spin probes for thermometry in the strong-coupling regime
- Full counting statistics and coherences: fluctuation symmetry in heat transport with the Unified quantum master equation
- Quantum coherence-control of thermal energy transport: The V model as a case study
- Quantum Thermal Transport Beyond Second Order with the Reaction Coordinate Mapping
- Steady state in strong system-bath coupling: mean force Gibbs state versus reaction coordinate
- Effective-Hamiltonian theory: An approximation to the equilibrium state of open quantum systems
- Fate of entanglement in magnetism under Lindbladian or non-Markovian dynamics and conditions for their transition to Landau-Lifshitz-Gilbert classical dynamics
- Bath-induced interactions and transient dynamics in open quantum systems at strong coupling: Effective Hamiltonian approach
- Bath-engineering magnetic order in quantum spin chains: An analytic mapping approach
- Pseudomode treatment of strong-coupling quantum thermodynamics
- Enhanced entanglement in multi-bath spin-boson models
- A unified diagrammatic approach to quantum transport in few-level junctions for bosonic and fermionic reservoirs: Application to the quantum Rabi model
- Non-Markovian Quantum Heat Statistics with the Reaction Coordinate Mapping
- Non-equilibrium boundary driven quantum systems: models, methods and properties
- Nonequilibrium quantum heat transport between structured environments
- Global becomes local: Efficient many-body dynamics for global master equations
- Optimal qubit-mediated quantum heat transfer via noncommuting operators and strong coupling effects
- Quantum stochastic thermodynamics in the mesoscopic-leads formulation
- Nonlinear Spectroscopy via Generalized Quantum Phase Estimation
- Current fluctuations in nonequilibrium open quantum systems beyond weak coupling: a reaction coordinate approach
- Separation of relaxation timescales via strong system-bath coupling: Dissipative three-level system as a case study
- Subtleties in the pseudomodes formalism
- Strong system-bath coupling reshapes characteristics of quantum thermal machines
- Quantum heat transport and effects of quantum thermal devices in noncommuting coupled spins