Scalar and vector Keldysh models in the time domain

Details Scalar and vector Keldysh models in the time domain Scalar and vector Keldysh models in the time domain

2009-01-15

arxiv.org/abs/0901.2246v1

JETP Lett 89, 133 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 5 eps figures. Extended version of the paper to be published in JETP Lett 89 (2009)

Scientific paper

10.1134/S0021364009030047

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.

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