Non-equilibrium quantum transport coefficients and the transient dynamics of full counting statistics in the strong coupling and non-Markovian regimes
arXiv:1606.05074 · doi:10.1103/PhysRevB.94.214308
Abstract
Non-equilibrium transport properties of quantum systems have recently become experimentally accessible in a number of platforms in so-called full-counting experiments that measure transient and steady state non-equilibrium transport dynamics. We show that the effect of the measurement back-action can be exploited to gain access to relevant transport coefficients. This relationship is general, but becomes most conspicuous in the transient dynamics of open quantum systems understrong coupling to non-Markovian environments. In order to explore this regime, a new simulation method for the generation of full counting statistics of non-Markovian, strong-coupling transport settings has been developed that is expressed in terms of a hierarchy of equations of motion. With this tool we gain access to the relevant regime and instantiate our proposal with the study of energetic conductance between two baths connected via a few level system.
7 pages, 3 figures; To appear in Phys. Rev. B
References in corpus (13)
- Universal oscillations in counting statistics
- 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
- Full Counting Statistics in Strongly Interacting Systems: Non-Markovian Effects
- Functional Integral approach to time-dependent heat exchange in open quantum systems: general method and applications
- Full counting statistics and shot noise of cotunneling in quantum dots and single-molecule transistors
- Meir-Wingreen formula for heat transport in a spin-boson nanojunction model
- Full-counting statistics of time-dependent conductors
- Nonequilibrium relaxation transport of ultracold atoms
- Quantum transport, master equations, and exchange fluctuations
- Dynamical Scheme for Interferometric Measurements of Full-Counting Statistics
- Transport as a sensitive indicator of quantum criticality
- Computation of transient dynamics of energy power for a dissipative two state system
Cited by in corpus (30)
- Quantum stochastic processes and quantum non-Markovian phenomena
- Fermionic reaction coordinates and their application to an autonomous Maxwell demon in the strong coupling regime
- An operational approach to quantum stochastic thermodynamics
- Numerically exact full counting statistics of the nonequilibrium Anderson impurity model
- Coherences and the thermodynamic uncertainty relation: Insights from quantum absorption refrigerators
- 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
- Strong coupling effects in quantum thermal transport with the reaction coordinate method
- Hierarchical quantum master equation approach to current fluctuations in nonequilibrium charge transport through nanosystems
- Experimental and theoretical investigation of a multi-mode cooling scheme using multiple EIT resonances
- Nonequilibrium open quantum systems with multiple bosonic and fermionic environments: A hierarchical equations of motion approach
- Energy current and its statistics in the nonequilibrium spin-boson model: Majorana fermion representation
- Revealing strong correlations in higher order transport statistics: a noncrossing approximation approach
- Electron pumping in the strong coupling and non-Markovian regime: A reaction coordinate mapping approach
- Half moons are pinch points with dispersion
- Exponential improvement for quantum cooling through finite-memory effects
- The reaction coordinate mapping in quantum thermodynamics
- Frequency-dependent current noise in quantum heat transfer with full counting statistics
- Electron Counting Statistics for Non-Additive Environments
- Unified Light-Matter Floquet Theory and its Application to Quantum Communication
- Nonreciprocal Quantum Transport at Junctions of Structured Leads
- Unifying quantum heat transfer in a nonequilibrium spin-boson model with full counting statistics
- Pseudomode treatment of strong-coupling quantum thermodynamics
- Hidden Quantum Memory: Is Memory There When Somebody Looks?
- Hierarchical Equations of Motion Approach to Quantum Thermodynamics
- Nonequilibrium quantum heat transport between structured environments
- Photon-resolved Floquet theory approach to spectroscopic quantum sensing
- Energy Flux in Hierarchical Equations of Motion Method and Its Application to a Three-Level Heat Engine
- Back-action effects in cavity-coupled quantum conductors