Fourier's law in a quantum spin chain and the onset of quantum chaos

2005/04/07 by Carlos Mejía-Monasterio, Carlos Mejia-Monasterio, Tomaž Prosen +2 · 2 citations
Physics and Astronomy · #Quantum chaos and dynamical systems #Quantum many-body systems #cond-mat.stat-mech #nlin.CD #quant-ph #stochastic dynamics and bifurcation

paper · pdf · doi:10.1209/epl/i2005-10267-y

published as Europhys. Lett. 72 (4), (2005) 520-526 · 4 pages, 5 figures, RevTeX

arxiv created 2005/04/07 · openalex publication_date 2005/10/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We study heat transport in a nonequilibrium steady state of a quantum interacting spin chain. We provide clear numerical evidence of the validity of Fourier law. The regime of normal conductivity is shown to set in at the transition to quantum chaos.

Citations

• Random-matrix theories in quantum physics: common concepts
• Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems
• Fourier's Law confirmed for a class of small quantum systems

Cited by

• Crossover from ballistic to diffusive thermal transport in quantum Langevin dynamics study of a harmonic chain connected to self-consistent reservoirs
• Heat transport in low-dimensional systems