Dynamical Coulomb Blockade in an interacting 1D system coupled to an arbitrary environment

Abstract

We study the out-of-equilibrium transport in a Tomonaga-Luttinger liquid containing a weak or a tunneling barrier coupled to an arbitrary electromagnetic environment. This applies as well to a coherent one-channel non-interacting conductor with a transmission coefficient close to one or to zero. We derive formal expressions for the current and finite-frequency (FF) noise at arbitrary voltages, temperatures and frequency-dependent impedance $Z(\omega )$ in the regimes of weak and strong backscattering. We show that these two regimes are no longer related by duality at finite frequency. We then carry explicit computations of the nonlinear conductance and FF noise when $Z(\omega )$ describes an harmonic oscillator such as a LC circuit or a cavity.

13 pages, 9 figures

References in corpus (11)

• Experimental Test of the High-Frequency Quantum Shot Noise Theory in a Quantum Point Contact
• Dynamics of Quantum Noise in a Tunnel Junction under ac Excitation
• Quantum Phase Transition in a Resonant Level Coupled to Interacting Leads
• Transport properties of single channel quantum wires with an impurity: Influence of finite length and temperature on average current and noise
• Oscillatory non-linear conductance of an interacting quantum wire with an impurity
• AC conductance and non-symmetrized noise at finite frequency in quantum wires and carbon nanotubes
• Emission and absorption noise in the fractional quantum Hall effect
• Experimental Test of the Dynamical Coulomb Blockade Theory for Short Coherent Conductors
• High Frequency Dynamics and Third Cumulant of Quantum Noise
• One-channel conductor coupled to a quantum of resistance: exact ac conductance and finite-frequency noise
• Finite frequency noise in a quantum point contact between helical edge states

Cited by in corpus (14)

• Dynamical Coulomb Blockade of Shot Noise
• Quantum simulation of an exotic quantum critical point in a two-site charge Kondo circuit
• Fluctuation-Dissipation Relations of a Tunnel Junction Driven by a Quantum Circuit
• Photon-assisted tunneling with non-classical light
• Perturbative fluctuation dissipation relation for non-equilibrium finite frequency noise in quantum circuits
• Fluctuation dissipation relations for strongly correlated out-of-equilibrium circuits
• Transport Across an Impurity in One Dimensional Quantum Liquids Far From Equilibrium
• Electroluminescence and multi-photon effects in a resonator driven by a tunnel junction
• Electron-photon interaction in a quantum point contact coupled to a microwave resonator
• Quantum Properties of the radiation emitted by a conductor in the Coulomb Blockade Regime
• Effect of the electromagnetic environment on current fluctuations in driven tunnel junctions
• Detecting Photon-Photon Interactions in a Superconducting Circuit
• Current Noise in Tunnel Junctions
• Noise feedback in an electronic circuit