Nonequilibrium spin-boson model: from weak to strong coupling
arXiv:1609.05598 · doi:10.1103/PhysRevE.96.012135
Abstract
We present a general theory to explore energy transfer in nonequilibrium spin-boson models within the framework of nonequilibrium Green's function (NEGF). In contrast to conventionally used NEGF methods based on a perturbation expansion in the system-bath coupling, we adopt the polaron transformation to the Hamiltonian and identify the tunneling term as a perturbation with the system-bath coupling being treated nonperturbatively, herein termed the polaron-transformed NEGF method. To evaluate terms in the Dyson series, we further utilize the Majorana-fermion representation. The proposed method not only allows us to deal with weak as well as strong coupling regime, but also enables an investigation on the role of bias. As an application of the method, we study the energy transfer between two Ohmic bosonic baths mediated by a spin. For a unbiased spin system, our energy current result smoothly bridges predictions of two benchmarks, namely, the quantum master equation and the nonequilibrium non-interacting blip approximation, thus our method is beyond existing theories. In case of a biased spin system, we reveal a bias-induced nonmomotonic behavior of the energy conductance in the intermediate coupling regime, due to the resonant character of the energy transfer. This finding may offer a nontrivial quantum control knob over energy transfer at the nanoscale.
arXiv comment9 pages, 5 figures, comments are welcome
References in corpus (26)
- Quantum thermal transport in nanostructures
- A spin-boson thermal rectifier
- Nonequilibrium Green's function method for quantum thermal transport
- Berry-Phase induced Heat Pumping and its Impact on the Fluctuation Theorem
- Quantum Thermodynamics: A Nonequilibrium Green's Functions Approach
- Heat flow in nonlinear molecular junctions
- A novel high resolution contactless technique for thermal field mapping and thermal conductivity determination: Two-Laser Raman Thermometry
- Mesoscopic photon heat transistor
- Energy exchange in driven open quantum systems at strong coupling
- Nonequilibrium Energy Transfer at Nanoscale: A Unified Theory from Weak to Strong Coupling
- New Fermionic Description of Quantum S = 1/2 Antiferromargnet
- Kondo signature in heat transfer via a local two-state system
- Non-equilibrium spin-boson model: counting statistics and the heat exchange fluctuation theorem
- Spin-spin correlators in Majorana representation
- Quantum fluctuation theorem for heat exchange in the strong coupling regime
- Spin dynamics from Majorana fermions
- Thermal conductance in a spin-boson model: Cotunneling and low temperature properties
- Dynamic control of quantum geometric heat flux in a nonequilibrium spin-boson model
- Meir-Wingreen formula for heat transport in a spin-boson nanojunction model
- Improved Dyson series expansion for steady-state quantum transport beyond the weak coupling limit - divergences and resolution
- Majorana representation for dissipative spin systems
- Energy current and its statistics in the nonequilibrium spin-boson model: Majorana fermion representation
- Qubit-mediated energy transfer between thermal reservoirs: beyond Markovian Master equation
- Dissipative spin dynamics near a quantum critical point: Numerical Renormalization Group and Majorana diagrammatics
- Using Majorana spin-1/2 representation for the spin-boson model
- Green's functions for spin boson systems: Beyond conventional perturbation theories
Cited by in corpus (24)
- Geometric properties of adiabatic quantum thermal machines
- Quantum energy exchange and refrigeration: A full-counting statistics approach
- Path-integral methodology and simulations of quantum thermal transport: Full counting statistics approach
- Strong coupling effects in quantum thermal transport with the reaction coordinate method
- Thermal rectification through a nonlinear quantum resonator
- Negative differential thermal conductance and heat amplification in a nonequilibrium triangle-coupled spin-boson system at strong coupling
- Heat transport via a local two-state system near thermal equilibrium
- Strong system-bath coupling induces negative differential thermal conductance and heat amplification in nonequilibrium two-qubits systems
- Interfacial thermal transport with strong system-bath coupling: A phonon delocalization effect
- Frequency-dependent current noise in quantum heat transfer with full counting statistics
- Maxwell's demon in the quantum-Zeno regime and beyond
- Quantum Thermal Transport Beyond Second Order with the Reaction Coordinate Mapping
- Variational study of two-impurity spin-boson model with a common Ohmic bath: Ground-state phase transitions
- Effective-Hamiltonian theory: An approximation to the equilibrium state of open quantum systems
- Heat transfer statistics in mixed quantum-classical systems
- Mean Field Theory of Thermal Energy Transport in Molecular Junctions
- Accessing the bath information in open quantum systems with the stochastic c-number Langevin equation method
- Hybrid quantum-classical simulation of quantum speed limits in open quantum systems
- Entanglement versus Bell nonlocality of quantum nonequilibrium steady states
- Unifying quantum heat transfer and superradiant signature in a nonequilibrium collective-qubit system: a polaron-transformed Redfield approach
- Heat operator approach to quantum stochastic thermodynamics in the strong-coupling regime
- Nonequilibrium thermal transport and photon squeezing in a quadratic qubit-resonator system
- Asymmetric steerability of quantum equilibrium and nonequilibrium steady states through entanglement detection
- Heat transport in a two-level system driven by a time-dependent temperature