Geometric-phase-propagator approach to time-dependent quantum systems

F. K. Diakonos, P. A. Kalozoumis, A. I. Karanikas, N. Manifavas, and P. Schmelcher
Phys. Rev. A 85, 062110 – Published 18 June 2012

Abstract

A field-theoretical approach to the scattering off an oscillating quantum system is developed. As a key ingredient it employs the adiabatic eigenstate basis and consists of a perturbative scheme for the calculation of the geometric phases influencing the transmission through the time-dependent potential landscape. The main advantage is the identification of basic diagrams which allow for an immediate interpretation of the underlying elementary physical processes contributing to the scattering and transmission behavior. We apply our method to the simple, but prototypical, problem of transmission through an one-dimensional oscillating δ potential and demonstrate how it enables a deeper understanding of the relevant physical processes.

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  • Received 12 March 2012

DOI:https://doi.org/10.1103/PhysRevA.85.062110

©2012 American Physical Society

Authors & Affiliations

F. K. Diakonos1,*, P. A. Kalozoumis1,†, A. I. Karanikas1,‡, N. Manifavas1,§, and P. Schmelcher2,∥

  • 1Department of Physics, University of Athens, GR-15771 Athens, Greece
  • 2Zentrum fuer Optische Quantentechnologien, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany

  • *fdiakono@phys.uoa.gr
  • pkalozoum@phys.uoa.gr
  • akaran@phys.uoa.gr
  • §nmanif@phys.uoa.gr
  • pschmelc@physnet.uni-hamburg.de

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Issue

Vol. 85, Iss. 6 — June 2012

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