Scalar and vector Keldysh models in the time domain
Abstract
The exactly solvable Keldysh model of disordered electron system in a random scattering field with extremely long correlation length is converted to the time-dependent model with extremely long relaxation. The dynamical problem is solved for the ensemble of two-level systems (TLS) with fluctuating well depths having the discrete Z_2 symmetry. It is shown also that the symmetric TLS with fluctuating barrier transparency may be described in terms of the planar Keldysh model with dime-dependent random planar rotations in xy plane having continuous SO(2) symmetry. The case of simultaneous fluctuations of the well depth and barrier transparency is subject to non-abelian algebra. Application of this model to description of dynamic fluctuations in quantum dots and optical lattices is discussed.
Cite
@article{arxiv.0901.2246,
title = {Scalar and vector Keldysh models in the time domain},
author = {M. N. Kiselev and K. Kikoin},
journal= {arXiv preprint arXiv:0901.2246},
year = {2010}
}
Comments
6 pages, 5 eps figures. Extended version of the paper to be published in JETP Lett 89 (2009)