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VOLUME 89 | ISSUE 3 | PAGE 133
Scalar and vector Keldysh models in the time domain
M. N. Kiselev, K. A. Kikoin*
International Center for Theoretical Physics, 34014 Trieste, Italy
*School of Physics and Astronomy, Tel-Aviv University, 69978 Tel-Aviv, Israel


PACS: 73.21.La, 73.23.Hk, 85.35.Gv
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 Z2 symmetry. It is shown also that the symmetric TLS with fluctuating barrier transparency may be described in terms of the vector Keldysh model with dime-dependent random planar rotations in xy plane having continuous SO(2) symmetry. Application of this model to description of dynamic fluctuations in quantum dots and optical lattices is discussed.


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