A semiclassical matrix model for quantum chaotic transport

Autor(es)

Novaes, Marcel ^[1]

Afiliação do(s) autor(es)

^[1] Univ Fed Sao Carlos, Dept Fis, BR-13565905 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Physics A-Mathematical and Theoretical; v. 46, n. 50 DEC 20 2013.
• Citações Web of Science: 9

Resumo

We propose a matrix model which embodies the semiclassical approach to the problem of quantum transport in chaotic systems. Specifically, a matrix integral is presented whose perturbative expansion satisfies precisely the semiclassical diagrammatic rules for the calculation of general counting statistics. Evaluating it exactly, we show that it agrees with corresponding predictions from random matrix theory. This uncovers the algebraic structure behind the equivalence between these two approaches, and opens the way for further semiclassical calculations. (AU)

• Processo FAPESP: 12/00699-1 - Caos quântico, integrais matriciais e combinatória
• Beneficiário: Marcel Novaes
• Modalidade de apoio: Auxílio à Pesquisa - Regular