Affordable Access

deepdyve-link
Publisher Website

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

Authors
  • Ivanov, D. A.
  • Skvortsov, M. A.
Type
Published Article
Publication Date
Mar 29, 2006
Submission Date
Nov 01, 2005
Identifiers
DOI: 10.1016/j.nuclphysb.2006.01.006
Source
arXiv
License
Unknown
External links

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 \phi^4 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.

Report this publication

Statistics

Seen <100 times