Scalar and vector Keldysh models in the time domain

M. N. Kiselev; K. A. Kikoin

doi:10.1134/S0021364009030047

Scalar and vector Keldysh models in the time domain

M. N. Kiselev, K. A. Kikoin

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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 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.

Original language	English
Pages (from-to)	114-119
Number of pages	6
Journal	JETP Letters
Volume	89
Issue number	3
DOIs	https://doi.org/10.1134/S0021364009030047
State	Published - 1 Jun 2009
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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AB - 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 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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Scalar and vector Keldysh models in the time domain

Abstract

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