| Issue |
Europhys. Lett.
Volume 61, Number 1, January 2003
|
|
|---|---|---|
| Page(s) | 34 - 40 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2003-00241-3 | |
| Published online | 01 January 2003 | |
Strong evidence of normal heat conduction in a one-dimensional quantum system
Department of Applied Physics, School of Engineering
University of Tokyo - Bunkyo-ku, Tokyo 113-8656, Japan
Received:
7
June
2002
Accepted:
10
October
2002
We investigate how the normal energy transport is realized in
one-dimensional 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 Green-Kubo formula
are investigated when the number of spin increases. We find that
the autocorrelation function in the Green-Kubo formula decays as
to a finite value which vanishes rapidly with the
increase of the system size. As a result, the Green-Kubo formula
converges to a finite value in the thermodynamic limit. These
facts strongly support the realization of Fourier heat law in a
quantum system.
PACS: 05.60.Gg – Quantum transport / 05.30.-d – Quantum statistical mechanics / 05.70.Ln – Nonequilibrium and irreversible thermodynamics
© EDP Sciences, 2003
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