Correlations in one dimensional quantum impurity problems with an external field

Abstract

We study response functions of integrable quantum impurity problems with an external field at $T=0$ using non perturbative techniques derived from the Bethe ansatz. We develop the first steps of the theory of excitations over the new, field dependent ground state, leading to renormalized (or ``dressed'') form-factors. We obtain exactly the low frequency behaviour of the dynamical susceptibility ${\chi }^{\prime \prime }(\omega )$ in the double well problem of dissipative quantum mechanics (or equivalently the anisotropic Kondo problem),and the low frequency behaviour of the AC noise $S_t(\omega )$ for tunneling between edges in fractional quantum Hall devices. We also obtain exactly the structure of singularities in ${\chi }^{\prime \prime }(\omega )$ and $S_t(\omega )$. Our results differ significantly from previous perturbative approaches.

harvmac, epsf, 37pgs, 2figs. modified some references

References in corpus (6)

• Exact non-equilibrium DC shot noise in Luttinger liquids and fractional quantum Hall devices
• Equilibrium dynamics of the dissipative two-state system
• Non-equilibrium DC noise in a Luttinger liquid with impurity
• A unified framework for the Kondo problem and for an impurity in a Luttinger liquid
• Form factors approach to current correlations in one dimensional systems with impurities
• Time correlations in 1D quantum impurity problems

Cited by in corpus (20)

• Shot Noise in Mesoscopic Conductors
• Non-zero temperature transport near quantum critical points
• A comment on finite temperature correlations in integrable QFT
• Boundary interactions changing operators and dynamical correlations in quantum impurity problems
• Transport properties of single channel quantum wires with an impurity: Influence of finite length and temperature on average current and noise
• Haldane Gapped Spin Chains: Exact Low Temperature Expansions of Correlation Functions
• Haldane-Gapped Spin Chains as Luttinger Liquids: Correlation Functions at Finite Field
• Scattering particles in quantum spin chains
• Finite temperature correlation functions from form factors
• Numerical Evaluation of Shot Noise using Real Time Simulations
• Fluctuations and Entanglement spectrum in quantum Hall states
• Dynamical Behavior of the Dissipative Two-State System
• Emission and absorption noise in the fractional quantum Hall effect
• Perturbation of infra-red fixed points and duality in quantum impurity problems
• One-channel conductor coupled to a quantum of resistance: exact ac conductance and finite-frequency noise
• Full counting statistics in the not-so-long-time limit
• Correlations in one dimensional quantum impurity problems with an external field or a temperature
• Generalized q-Onsager Algebras and Dynamical K-matrices
• Transport through nanostructures: Finite time vs. finite size
• Entanglement flow in the Kane-Fisher quantum impurity problem