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

Mathias Michel; Michael Hartmann; Jochen Gemmer; Günter Mahler

doi:10.1140/epjb/e2003-00228-x

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

Mathias Michel, Michael Hartmann, Jochen Gemmer, Günter Mahler

Research output: Contribution to journal › Article › peer-review

70 Citations (Scopus)

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.

Original language	English
Pages (from-to)	325-330
Number of pages	6
Journal	European Physical Journal B: Condensed Matter and Complex Systems
Volume	34
Issue number	3
DOIs	https://doi.org/10.1140/epjb/e2003-00228-x
Publication status	Published - Aug 2003

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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Cite this

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title = "Fourier's Law confirmed for a class of small quantum systems",

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.",

author = "Mathias Michel and Michael Hartmann and Jochen Gemmer and G{\"u}nter Mahler",

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AU - Michel, Mathias

AU - Hartmann, Michael

AU - Gemmer, Jochen

AU - Mahler, Günter

PY - 2003/8

Y1 - 2003/8

N2 - 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.

AB - 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.

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U2 - 10.1140/epjb/e2003-00228-x

DO - 10.1140/epjb/e2003-00228-x

M3 - Article

AN - SCOPUS:1642382208

SN - 1434-6028

VL - 34

SP - 325

EP - 330

JO - European Physical Journal B: Condensed Matter and Complex Systems

JF - European Physical Journal B: Condensed Matter and Complex Systems

IS - 3

ER -

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

Abstract

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