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.

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

References in corpus (3)

• Counting atoms using interaction blockade in an optical superlattice
• The Interplay of Spin and Charge Channels in Zero Dimensional Systems
• Decoherence and Dephasing in Kondo Tunneling through Double Quantum Dots

Cited by in corpus (5)

• Effects of colored noise on Landau-Zener Transitions: Two and Three-Level Systems
• Quantum thermal transport in the charged Sachdev-Ye-Kitaev model: Thermoelectric Coulomb blockade
• Generalized Dynamical Keldysh Model
• Seven Etudes on dynamical Keldysh Model
• Kondo effect in Complex Quantum Dots in the presence of an oscillating and fluctuating gate signal