Fourier's Law confirmed for a class of small quantum systems

2003/08/01 by M. Michel, Mathias Michel, M. Hartmann +5 · 4 citations
Materials Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum and electron transport phenomena #Thermal properties of materials #cond-mat.stat-mech #quant-ph

paper · pdf · doi:10.1140/epjb/e2003-00228-x

published as Eur. Phys. J. B 34, 325-330 (2003) · 6 pages, 8 figures

openalex publication_date 2003/08/01 · arxiv created 2005/03/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Within the Lindblad formalism we consider an interacting spin chain coupled locally to heat baths. We investigate the dependence of the energy transport on the type of interaction in the system as well as on the overall interaction strength. For a large class of couplings we find a normal heat conduction and confirm Fourier's Law. In a fully quantum mechanical approach linear transport behavior appears to be generic even for small quantum systems.

Cited by

• Quantum typicality approach to energy flow between two spin-chain domains at different temperatures
• Heat transport in quantum spin chains
• Fourier's law in a quantum spin chain and the onset of quantum chaos
• Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representation

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