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Quantum noise, detailed balance and Kubo formula in nonequilibrium quantum systems

2002/11/29 by U. Gavish, Y. Imry, Y. Levinson
Physics and Astronomy · #cond-mat.mes-hall

paper · pdf

published as Proceedings of the 2001 Recontres de Moriond: Electronic Correlations: from Meso- to Nanophysics, T. Martin, G. Montambaux and J. Tran Thanh Van eds. EDPScience 2001 · 7 pages, 1 figure, contribution to the Proceedings of the 2001 Recontres de Moriond: Electronic Correlations: from Meso- to Nanophysics, T. Martin, G. Montambaux and J. Tran Thanh Van eds. EDPScience 2001

arxiv created 2002/11/29 · arxiv updated 2009/11/30

Abstract

Current quantum noise can be pictured as a sum over transitions through which the electronic system exchanges energy with its environment. We formulate this picture and use it to show which type of current correlators are measurable, and in what measurement the zero point fluctuations will play a role (the answer to the latter is as expected: only if the detector excites the system.) Using the above picture, we calculate and give physical interpretation of the finite-frequency finite-temperature current noise in a noninteracting Landauer-type system, where the chemical potentials of terminals 1 and 2 are μ+eV/2 and μ-eV/2 respectively, and derive a detailed-balance condition for this nonequilibrium system. Finally, we derive a generalized form of the Kubo formula for a wide class of interacting nonequilibrium systems, relating the differential conductivity to the current noise.

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