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Title: Level crossings in a cavity QED model

Abstract

In this paper I study the dynamics of a two-level atom interacting with a standing-wave field. When the atom is subjected to a weak linear force, the problem can be turned into a time-dependent one, and the evolution is understood from the band structure of the spectrum. The presence of level crossings in the spectrum gives rise to Bloch oscillations of the atomic motion. Here I investigate the effects of the atom-field detuning parameter. A variety of different level crossings are obtained by changing the magnitude of the detuning, and the behavior of the atomic motion is strongly affected due to this. I also consider the situation in which the detuning is oscillating in time, and its impact on the atomic motion. Wave-packet simulations of the full problem are treated numerically and the results are compared with analytical solutions given by the standard Landau-Zener and the three-level Landau-Zener models.

Authors:
 [1]
  1. Physics Department, Royal Institute of Technology (KTH), Albanova, Roslagstullsbacken 21, SE-10691 Stockholm (Sweden)
Publication Date:
OSTI Identifier:
20786794
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 73; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevA.73.013823; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; ANALYTICAL SOLUTION; ATOMS; CAVITY RESONATORS; ENERGY LEVELS; LANDAU-ZENER FORMULA; OPTICS; OSCILLATIONS; PHOTON-ATOM COLLISIONS; QUANTUM ELECTRODYNAMICS; SIMULATION; STANDING WAVES; TIME DEPENDENCE; WAVE PACKETS

Citation Formats

Larson, J. Level crossings in a cavity QED model. United States: N. p., 2006. Web. doi:10.1103/PHYSREVA.73.0.
Larson, J. Level crossings in a cavity QED model. United States. doi:10.1103/PHYSREVA.73.0.
Larson, J. Sun . "Level crossings in a cavity QED model". United States. doi:10.1103/PHYSREVA.73.0.
@article{osti_20786794,
title = {Level crossings in a cavity QED model},
author = {Larson, J.},
abstractNote = {In this paper I study the dynamics of a two-level atom interacting with a standing-wave field. When the atom is subjected to a weak linear force, the problem can be turned into a time-dependent one, and the evolution is understood from the band structure of the spectrum. The presence of level crossings in the spectrum gives rise to Bloch oscillations of the atomic motion. Here I investigate the effects of the atom-field detuning parameter. A variety of different level crossings are obtained by changing the magnitude of the detuning, and the behavior of the atomic motion is strongly affected due to this. I also consider the situation in which the detuning is oscillating in time, and its impact on the atomic motion. Wave-packet simulations of the full problem are treated numerically and the results are compared with analytical solutions given by the standard Landau-Zener and the three-level Landau-Zener models.},
doi = {10.1103/PHYSREVA.73.0},
journal = {Physical Review. A},
number = 1,
volume = 73,
place = {United States},
year = {Sun Jan 15 00:00:00 EST 2006},
month = {Sun Jan 15 00:00:00 EST 2006}
}