Frequency-dependent current noise in quantum heat transfer with full counting statistics
arXiv:1708.05537 · doi:10.1063/1.5025367
Abstract
To investigate frequency-dependent current noise (FDCN) in open quantum systems at steady states, we present a theory which combines Markovian quantum master equations with a finite time full counting statistics. Our formulation of the FDCN generalizes previous zero-frequency expressions and can be viewed as an application of MacDonald's formula for electron transport to heat transfer. As a demonstration, we consider the paradigmatic example of quantum heat transfer in the context of a non-equilibrium spin-boson model. We adopt a recently developed polaron-transformed Redfield equation which allows us to accurately investigate heat transfer with arbitrary system-reservoir coupling strength, arbitrary values of spin bias as well as temperature differences. We observe maximal values of FDCN in moderate coupling regimes, similar to the zero-frequency cases. We find the FDCN with varying coupling strengths or bias displays a universal Lorentzian-shape scaling form in the weak coupling regime, and a white noise spectrum emerges with zero bias in the strong coupling regime due to a distinctive spin dynamics. We also find the bias can suppress the FDCN in the strong coupling regime, in contrast to its zero-frequency counterpart which is insensitive to bias changes. Furthermore, we utilize the Saito-Utsumi relation as a benchmark to validate our theory and study the impact of temperature differences at finite frequencies. Together, our results provide detailed dissections of the finite time fluctuation of heat current in open quantum systems.
10 pages, 7 figures, comments are welcome
References in corpus (14)
- The large deviation approach to statistical mechanics
- Quantum limit of heat flow across a single electronic channel
- 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
- Quantum Thermodynamics: A Nonequilibrium Green's Functions Approach
- Full Counting Statistics in Strongly Interacting Systems: Non-Markovian Effects
- Non-equilibrium Entanglement and Noise in Coupled Qubits
- Quantum heat fluctuations of single particle sources
- Non-Markovian effects in the Quantum noise of interacting nanostructures
- Dynamic control of quantum geometric heat flux in a nonequilibrium spin-boson model
- Detecting charge noise with a Josephson junction: A problem of thermal escape in presence of non-Gaussian fluctuations
- Energy current and its statistics in the nonequilibrium spin-boson model: Majorana fermion representation
- Unifying quantum heat transfer in a nonequilibrium spin-boson model with full counting statistics
Cited by in corpus (10)
- Quantum energy exchange and refrigeration: A full-counting statistics approach
- Path-integral methodology and simulations of quantum thermal transport: Full counting statistics approach
- Tuning the Aharonov-Bohm effect with dephasing in nonequilibrium transport
- Strong system-bath coupling induces negative differential thermal conductance and heat amplification in nonequilibrium two-qubits systems
- Heat transfer statistics in mixed quantum-classical systems
- Effective-Hamiltonian theory: An approximation to the equilibrium state of open quantum systems
- Mean Field Theory of Thermal Energy Transport in Molecular Junctions
- Large Deviations and Fluctuation Theorem for the Quantum Heat Current
- Nonequilibrium quantum heat transport between structured environments
- Quantum energy transfer between nonlinearly-coupled bosonic bath and a fermionic chain: an exactly solvable model