Fourier's law from Schrodinger dynamics

被引:90
作者
Michel, M
Mahler, G
Gemmer, J
机构
[1] Univ Stuttgart, Inst Theoret Phys 1, D-70550 Stuttgart, Germany
[2] Univ Osnabruck, Dept Phys, D-49069 Osnabruck, Germany
关键词
D O I
10.1103/PhysRevLett.95.180602
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider a class of one-dimensional chains of weakly coupled many level systems. We present a theory which predicts energy diffusion within these chains for almost all initial states, if some concrete conditions on their Hamiltonians are met. By numerically solving the time dependent Schrodinger equation, we verify this prediction. Close to equilibrium we analyze this behavior in terms of heat conduction and compute the respective coefficient directly from the theory.
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页数:4
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