Scalar and vector Keldysh models in the time domain

• Published in: arXiv.org
• Main Authors: Kiselev, M N, Kikoin, K
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 15.01.2009
• Subjects: Optical lattices; Physics - Disordered Systems and Neural Networks; Physics - Mesoscale and Nanoscale Physics; Quantum dots; Symmetry; Time dependence; Variations
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.0901.2246

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.