# Applications of quantum integrable systems

Castro-Alvaredo, O. and Fring, A. (2004). Applications of quantum integrable systems. International Journal of Modern Physics A (IJMPA), 19(S2), pp. 92-116. doi: 10.1142/S0217751X04020336

## 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.

Publication Type: Article 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) Q Science > QC Physics School of Mathematics, Computer Science & Engineering > Mathematics http://openaccess.city.ac.uk/id/eprint/707
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