Strong evidence of normal heat conduction in a one-dimensional quantum system

K. Saito

Research output: Contribution to journalArticlepeer-review

95 Citations (Scopus)


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 languageEnglish
Pages (from-to)34-40
Number of pages7
Issue number1
Publication statusPublished - 2003 Jan
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy


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