Shot noise in the self-dual Interacting Resonant Level Model

Abstract

By using two independent and complementary approaches, we compute exactly the shot noise in an out-of-equilibrium interacting impurity model, the Interacting Resonant Level model at its self-dual point. An analytical approach based on the Thermodynamical Bethe Ansatz allows to obtain the density matrix in the presence of a bias voltage, which in turn allows for the computation of any observable. A time-dependent Density Matrix Renormalization Group technique, that has proven to yield the correct result for a free model (the Resonant Level Model) is shown to be in perfect agreement with the former method.

4 pages, 3 figures

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Cited by in corpus (27)

• A renormalization-group analysis of the interacting resonant level model at finite bias: Generic analytic study of static properties and quench dynamics
• Full counting statistics in the self-dual interacting resonant level model
• Numerical evaluation of Greens functions based on the Chebyshev expansion
• Numerical Evaluation of Shot Noise using Real Time Simulations
• Quantum theory of light scattering in a one-dimensional channel: Interaction effect on photon statistics and entanglement entropy
• The interacting resonant level model in nonequilibrium: finite temperature effects
• Strong quantum memory at resonant Fermi edges revealed by shot noise
• Finite-frequency noise in a quantum dot with normal and superconducting leads
• Exact time-dependent density functional theory for impurity models
• Quantum fluctuation theorem in an interacting setup: point contacts in fractional quantum Hall edge state devices
• Out-of-equilibrium properties and non-linear effects for interacting quantum impurity systems in their strong coupling regime
• Full counting statistics in the not-so-long-time limit
• Exact equilibrium results in the Interacting Resonant Level Model
• Reduced Dynamics of Full Counting Statistics
• From thermal equilibrium to nonequilibrium quench dynamics: A conserving approximation for the interacting resonant level
• Transport through nanostructures: Finite time vs. finite size
• 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
• Finite-frequency noise in a non-interacting quantum dot
• Transport through two interacting resonant levels connected by a Fermi sea
• Tunneling current and current correlations for anyonic quasiparticles of ν = 1/2 chiral Luttinger liquid in multi-edge geometries
• Realizing the interacting resonant level model using a quantum dot detector
• Current noise of the interacting resonant level model
• Non-equilibrium Green's functions and their relation to the negative differential conductance in 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