Strong evidence of normal heat conduction in a onedimensional quantum system
Abstract
We investigate how the normal energy transport is realized in onedimensional quantum systems using a quantum spin system. The direct investigation of local energy distribution under thermal gradient is made using the quantum master equation, and the mixing properties and the convergence of the GreenKubo formula are investigated when the number of spin increases. We find that the autocorrelation function in the GreenKubo formula decays as ~ t^{1.5} to a finite value which vanishes rapidly with the increase of the system size. As a result, the GreenKubo formula converges to a finite value in the thermodynamic limit. These facts strongly support the realization of Fourier heat law in a quantum system.
 Publication:

EPL (Europhysics Letters)
 Pub Date:
 January 2003
 DOI:
 10.1209/epl/i2003002413
 arXiv:
 arXiv:nlin/0212027
 Bibcode:
 2003EL.....61...34S
 Keywords:

 05.60.Gg;
 05.30.d;
 05.70.Ln;
 Quantum transport;
 Quantum statistical mechanics;
 Nonequilibrium and irreversible thermodynamics;
 Nonlinear Sciences  Chaotic Dynamics
 EPrint:
 7 pages 6 figures