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arXiv math-ph/0305049math-phcond-mat.mes-hallmath.MP
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量子泵中的输运和耗散

Transport and Dissipation in Quantum Pumps

J. E. Avron, A. Elgart, G. M. Graf, L. Sadun

摘要:

本文研究量子泵中的绝热输运。“能量位移”的概念,一个自伴算子对偶的维格纳时间延迟,在我们的方法中起着作用:它决定了量子泵中的电流,耗散,噪声和熵流。我们讨论了绝热输运的几何和拓扑内容,并表明,在量子泵中,陈数必然为零的情况下,不可能实现通过陈数量子化输运的无源和牛的机制。

英文摘要:

This paper is about adiabatic transport in quantum pumps. The notion of ``energy shift'', a self-adjoint operator dual to the Wigner time delay, plays a role in our approach: It determines the current, the dissipation, the noise and the entropy currents in quantum pumps. We discuss the geometric and topological content of adiabatic transport and show that the mechanism of Thouless and Niu for quantized transport via Chern numbers cannot be realized in quantum pumps where Chern numbers necessarily vanish.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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