Time correlations in 1D quantum impurity problems

Abstract

We develop in this letter an analytical approach using form- factors to compute time dependent correlations in integrable quantum impurity problems. As an example, we obtain for the first time the frequency dependent conductivity $G(\omega )$ for the tunneling between the edges in the $\nu =1/3$ fractional quantum Hall effect, and the spectrum $S(w)$ of the spin-spin correlation in the anisotropic Kondo model and equivalently in the double well system of dissipative quantum mechanics, both at vanishing temperature.

4 pages, Revtex and 2 figures

References in corpus (4)

• Exact non-equilibrium transport through point contacts in quantum wires and fractional quantum Hall devices
• Exact non-equilibrium DC shot noise in Luttinger liquids and fractional quantum Hall devices
• Equilibrium dynamics of the dissipative two-state system
• Asymptotic tunneling conductance in Luttinger liquids

Cited by in corpus (41)

• Non-zero temperature transport near quantum critical points
• Dynamical simulation of current fluctuations in a dissipative two-state system
• Boundary interactions changing operators and dynamical correlations in quantum impurity problems
• Non-equilibrium DC noise in a Luttinger liquid with impurity
• Transport in Quantum Dots from the Integrability of the Anderson Model
• Quantum dynamics of the dissipative two-state system coupled with a sub-Ohmic bath
• Scaling and universality in the anisotropic Kondo model and the dissipative two-state system
• Exploring the Kondo model in and out of equilibrium with alkaline-earth atoms
• Renormalization Group Approach to Non-equilibrium Green Functions in Correlated Impurity Systems
• Thermodynamics of the dissipative two-state system: a Bethe Ansatz study
• Quantum impurity spin in Majorana edge fermions
• Confined Coherence in Strongly Correlated Anisotropic Metals
• Solving quantum impurity problems in and out of equilibrium with variational approach
• Quantum Magnetic Impurities in Magnetically Ordered Systems
• Frustration of Decoherence in Open Quantum Systems
• Non-Equilibrium Quantum Dissipation
• Decoherence by Correlated Noise and Quantum Error Correction
• Quantum phase transition in the delocalized regime of the spin-boson model
• Variational principle for quantum impurity systems in and out of equilibrium: application to Kondo problems
• Dynamical Behavior of the Dissipative Two-State System
• Exact Friedel oscillations in the g=1/2 Luttinger liquid
• The Maxwell-Bloch Theory in Quantum Optics and the Kondo Model
• Zeno and anti-Zeno dynamics in spin-bath models
• Correlations in one dimensional quantum impurity problems with an external field
• Flow equation analysis of the anisotropic Kondo model
• Quantum impurity models of noisy qubits
• Form-factors computation of Friedel oscillations in Luttinger liquids
• Low-temperature behavior of a Magnetic Impurity in a Heisenberg Chain
• Exact overlaps in the Kondo problem
• Noncrossing Approximation for the Anisotropic Kondo Model: Charge Fluctuations in a Quantum Box
• Correlations in one dimensional quantum impurity problems with an external field or a temperature
• Inelastic decay from integrability
• Crossover of Correlation Functions near a Quantum Impurity in a Tomonaga-Luttinger Liquid
• Universal Behavior of Quantum Impurity Scattering in Tomonaga-Luttinger Liquid
• Hyperelliptic curves for multi-channel quantum wires and the multi-channel Kondo problem
• Re-examination of electronic transports through a quantum wire coupled to a quantum dot
• The Kondo Model with a Bulk Mass Term
• Coherence correlations in the dissipative two-state system
• Conductance of a Finite Quantum Wire Connected to Reservoirs
• Localization transition in the Mermin model
• Dynamics of a tunneling magnetic impurity: Kondo effect induced incoherence