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JOURNALS // Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki // Archive

Pis'ma v Zh. Èksper. Teoret. Fiz., 2009 Volume 89, Issue 3, Pages 133–138 (Mi jetpl350)

This article is cited in 5 papers

ATOMS, SPECTRA, RADIATIONS

Scalar and vector Keldysh models in the time domain

M. N. Kiseleva, K. A. Kikoinb

a International Centre for Theoretical Physics
b School of Physics and Astronomy, Tel-Aviv University, 69978 Tel-Aviv, Israel

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.

PACS: 73.21.La, 73.23.Hk, 85.35.Gv

Language: English


 English version:
Journal of Experimental and Theoretical Physics Letters, 2009, 89:3, 114–119

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© Steklov Math. Inst. of RAS, 2026