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

被引：68
作者：
Michel, M
Hartmann, M
Gemmer, J
Mahler, G
机构：
[1] Univ Stuttgart, Inst Theoret Phys 1, D-70550 Stuttgart, Germany
[2] DLR Stuttgart, Inst Thechn Phys, D-70569 Stuttgart, Germany
来源：
EUROPEAN PHYSICAL JOURNAL B | 2003年 / 34卷 / 03期
关键词：
D O I：
10.1140/epjb/e2003-00228-x
中图分类号：
O469 [凝聚态物理学];
学科分类号：
070205 ;
摘要：
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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页码：325 / 330
页数：6
相关论文
共 15 条
[1]   Simple one-dimensional model of heat conduction which obeys Fourier's law [J].
Garrido, PL ;
Hurtado, PI ;
Nadrowski, B .
PHYSICAL REVIEW LETTERS, 2001, 86 (24) :5486-5489
[2]   Distribution of local entropy in the Hilbert space of bi-partite quantum systems: origin of Jaynes' principle [J].
Gemmer, J ;
Mahler, G .
EUROPEAN PHYSICAL JOURNAL B, 2003, 31 (02) :249-257
[3]   Limits of effective potential approach:: Nucleus-electron entanglement in a model of the He+-ion [J].
Gemmer, J ;
Mahler, G .
EUROPHYSICS LETTERS, 2002, 59 (02) :159-165
[4]   Quantum approach to a derivation of the second law of thermodynamics [J].
Gemmer, J ;
Otte, A ;
Mahler, G .
PHYSICAL REVIEW LETTERS, 2001, 86 (10) :1927-1930
[5]   On the anomalous thermal conductivity of one-dimensional lattices [J].
Lepri, S ;
Livi, R ;
Politi, A .
EUROPHYSICS LETTERS, 1998, 43 (03) :271-276
[6]  
MAHLER G, 1998, QUANTUM NETWORKS
[7]   NONTHERMAL STIMULATION OF 3-LEVEL IMPURITIES BY PHONONS [J].
MICHEL, H ;
WAGNER, M .
PHYSICA STATUS SOLIDI B-BASIC RESEARCH, 1976, 75 (02) :507-517
[8]  
Otte A, 2000, PHYS REV A, V62, DOI 10.1103/PhysRevA.62.012303
[9]  
Peierls R, 1929, ANN PHYS-BERLIN, V3, P1055
[10]  
Peierls R., 1955, QUANTUM THEORY SOLID
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