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 |
|---|---|
| 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 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Strong evidence of normal heat conduction in a one-dimensional quantum system. / Saitou, Keiji.
In: Europhysics Letters, Vol. 61, No. 1, 01.2003, p. 34-40.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Strong evidence of normal heat conduction in a one-dimensional quantum system
AU - Saitou, Keiji
PY - 2003/1
Y1 - 2003/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0037271187&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0037271187&partnerID=8YFLogxK
U2 - 10.1209/epl/i2003-00241-3
DO - 10.1209/epl/i2003-00241-3
M3 - Article
AN - SCOPUS:0037271187
VL - 61
SP - 34
EP - 40
JO - EPL
JF - EPL
SN - 0295-5075
IS - 1
ER -