Fourier's law in a quantum spin chain and the onset of quantum chaosC. Mejía-Monasterio1, T. Prosen2 and G. Casati1, 3, 4
1 Center for Nonlinear and Complex Systems, Università degli Studi dell'Insubria via Valleggio 11, 22100 Como, Italy
2 Physics Department, Faculty of Mathematics and Physics, University of Ljubljana Ljubljana, Slovenia
3 CNR-INFM and Istituto Nazionale di Fisica Nucleare, Sez. di Milano - Milano, Italy
4 Department of Physics, National University of Singapore Singapore 117542, Republic of Singapore
received 1 June 2005; accepted in final form 16 September 2005
published online 12 October 2005
We study heat transport in a nonequilibrium steady state of a quantum interacting spin chain. We provide clear numerical evidence of the validity of Fourier law. The regime of normal conductivity is shown to set in at the transition to quantum chaos.
05.30.-d - Quantum statistical mechanics.
05.70.Ln - Nonequilibrium and irreversible thermodynamics.
05.45.Mt - Quantum chaos; semiclassical methods.
© EDP Sciences 2005