Applications of quantum integrable systems

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

[img]
Preview
PDF
Download (776kB) | Preview

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.

Item Type: Article
Additional Information: 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)
Subjects: Q Science > QC Physics
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science
URI: http://openaccess.city.ac.uk/id/eprint/707

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics