Thermal conduction in a quantum system

Keiji Saitou, S. Takesue, S. Miyashita

Research output: Contribution to journalArticle

68 Citations (Scopus)

Abstract

We numerically investigate thermal conduction in quantum dynamics. A one-dimensional quantum spin system is used as a model, which we can make integrable or nonintegrable by controlling parameter values. A different method to simulate heat reservoirs is introduced. Using this method, we perform numerical simulations of the spin chain in contact with two heat reservoirs at different temperatures. As a consequence, a flat temperature profile is observed in the integrable case, while a finite temperature gradient is found in a nonintegrable system. This result suggests that the Fourier heat law may be realized in nonintegrable systems and is consistent with the classical case reported in the literature.

Original languageEnglish
Pages (from-to)2404-2408
Number of pages5
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume54
Issue number3
Publication statusPublished - 1996
Externally publishedYes

Fingerprint

Conduction
Quantum Systems
Heat
conduction
heat
Quantum Spin System
Spin Chains
Quantum Dynamics
Temperature Profile
Finite Temperature
temperature profiles
temperature gradients
Contact
Gradient
Numerical Simulation
simulation
temperature
Model

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Thermal conduction in a quantum system. / Saitou, Keiji; Takesue, S.; Miyashita, S.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 54, No. 3, 1996, p. 2404-2408.

Research output: Contribution to journalArticle

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