Semiclassical matrix model for quantum chaotic transport with time-reversal symmetry |
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Authors: | Marcel Novaes |
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Affiliation: | Instituto de Física, Universidade Federal de Uberlândia, Uberlândia, MG, 38408-100, Brazil |
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Abstract: | We show that the semiclassical approach to chaotic quantum transport in the presence of time-reversal symmetry can be described by a matrix model. In other words, we construct a matrix integral whose perturbative expansion satisfies the semiclassical diagrammatic rules for the calculation of transport statistics. One of the virtues of this approach is that it leads very naturally to the semiclassical derivation of universal predictions from random matrix theory. |
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Keywords: | Quantum chaos Quantum transport Semiclassical approximation Random matrix theory Time reversal symmetry |
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