Full counting statistics in the self-dual interacting resonant level model

Abstract

We present a general technique to obtain the zero temperature full counting statistics of charge transfer in interacting impurity models out of equilibrium from time-dependent simulations on a lattice. We demonstrate the technique with application to the self-dual interacting resonant level model, where very good agreement between numerical simulations using the density matrix renormalization group and those obtained analytically from the thermodynamic Bethe ansatz is found. We show from the exact form of counting statistics that the quasiparticles involved in transport carry charge $2e$ in the low bias regime, and $e/2$ in the high bias regime.

4 pages, 4 figures

References in corpus (9)

• Real time evolution using the density matrix renormalization group
• Twofold advance in the theoretical understanding of far-from-equilibrium properties of interacting nanostructures
• Full counting statistics for noninteracting fermions: Exact results and the Levitov-Lesovik formula
• Exact low temperature results for transport properties of the interacting resonant level model
• Full Counting Statistics of Interacting Electrons
• Full counting statistics of Luttinger liquid conductor
• Quantum fluctuation theorem in an interacting setup: point contacts in fractional quantum Hall edge state devices
• Full counting statistics of chiral Luttinger liquids with impurities
• Statistics of charge transfer through impurities in strongly correlated 1D metals

Cited by in corpus (37)

• Non-equilibrium steady states in the Klein-Gordon theory
• Numerically exact full counting statistics of the nonequilibrium Anderson impurity model
• Green's function methods for single molecule junctions
• Time-reversal symmetry and fluctuation relations in non-equilibrium quantum steady states
• Numerical evaluation of Greens functions based on the Chebyshev expansion
• Full Counting Statistics of Charge in Chaotic Many-body Quantum Systems
• Non-linear fluctuating hydrodynamics for KPZ scaling in isotropic spin chains
• Numerically exact counting statistics of energy current in the Kondo regime
• Waiting time distributions of noninteracting fermions on a tight-binding chain
• Revealing strong correlations in higher order transport statistics: a noncrossing approximation approach
• Quantum theory of light scattering in a one-dimensional channel: Interaction effect on photon statistics and entanglement entropy
• Numerical method for non-linear steady-state transport in one-dimensional correlated conductors
• Exact time-dependent density functional theory for impurity models
• Out-of-equilibrium properties and non-linear effects for interacting quantum impurity systems in their strong coupling regime
• Transient noise spectra in resonant tunneling setups: Exactly solvable models
• Steady-state and quench dependent relaxation of a quantum dot coupled to one-dimensional leads
• Full counting statistics in the not-so-long-time limit
• Reduced Dynamics of Full Counting Statistics
• Exact equilibrium results in the Interacting Resonant Level Model
• Transient dynamics and steady state behavior of the Anderson-Holstein model with a superconducting lead
• From thermal equilibrium to nonequilibrium quench dynamics: A conserving approximation for the interacting resonant level
• Waiting time between charging and discharging processes in molecular junctions
• Correlations in non-equilibrium Luttinger liquid and singular Fredholm determinants
• Transport through nanostructures: Finite time vs. finite size
• Auxiliary master equation approach within stochastic wave functions: Application to the Interacting Resonant Level Model
• Out-of-equilibrium transport in the interacting resonant level model: the surprising relevance of the boundary sine-Gordon model
• Scattering matrix approach to interacting electron transport
• Full counting statistics of persistent current
• Transport through two interacting resonant levels connected by a Fermi sea
• Non-equilibrium transport through a model quantum dot: Hartree-Fock approximation and beyond
• Realizing the interacting resonant level model using a quantum dot detector
• Non-equilibrium Green's functions and their relation to the negative differential conductance in the interacting resonant level model
• Self-equilibration theorem in quantum-point contacts of interacting electrons: time-dependent quantum fluctuations of tunnel transport beyond the Levitov-Lesovik scattering approach
• Current noise of the interacting resonant level model
• Local density of states of the interacting resonant level model at zero temperature
• Matrix product state simulations of quantum quenches and transport in Coulomb blockaded superconducting devices
• On the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas