Quantum mechanics with a time-dependent random unitary Hamiltonian: A perturbative study of the non-linear Keldysh sigma-model

D. A. Ivanov, M. A. Skvortsov

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4 Citations (Scopus)

Abstract

We analyze the perturbative series of the Keldysh-type sigma-model proposed recently for describing the quantum mechanics with time-dependent Hamiltonians from the unitary Wigner-Dyson random-matrix ensemble. We observe that vertices of orders higher than four cancel, which allows us to reduce the calculation of the energy-diffusion constant to that in a special kind of the matrix φ4 model. We further verify that the perturbative four-loop correction to the energy-diffusion constant in the high-velocity limit cancels, in agreement with the conjecture of one of the authors.

Original languageEnglish
Pages (from-to)304-336
Number of pages33
JournalNuclear Physics B
Volume737
Issue number3
DOIs
Publication statusPublished - 13 Mar 2006
Externally publishedYes

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