Abstract
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 ∼ t-1.5 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.
Original language | English |
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Pages (from-to) | 34-40 |
Number of pages | 7 |
Journal | Europhysics Letters |
Volume | 61 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2003 Jan |
Externally published | Yes |
ASJC Scopus subject areas
- Physics and Astronomy(all)