Applications of quantum integrable systems

Abstract

We present two applications of quantum integrable systems. First, we predict that it is possible to generate high harmonics from solid state devices by demostrating that the emission spectrum for a minimally coupled laser field of frequency $\omega$ to an impurity system of a quantum wire, contains multiples of the incoming frequency. Second, evaluating expressions for the conductance in the high temperature regime we show that the caracteristic filling fractions of the Jain sequence, which occur in the fractional quantum Hall effect, can be obtained from quantum wires which are described by minimal affine Toda field theories.

25 pages of LaTex, 4 figures, based on talk at the 6-th international workshop on conformal field theories and integrable models, (Chernogolovka, September 2002)

References in corpus (4)

• Scattering in the Presence of a Reflecting and Transmitting Impurity
• From integrability to conductance, impurity systems
• Form factors from free fermionic Fock fields, the Federbush model
• Relativistic treatment of harmonics from impurity systems in quantum wires

Cited by in corpus (1)

• Spin correlation function in 2D statistical mechanics models with inhomogeneous line defects