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Title: Dressed-state approach to matter-wave mixing of bosons

Abstract

A dressed-state approach to mixing of bosonic matter waves is presented. Two cases are studied using this formalism. In the first, two macroscopically populated modes of atoms (two-wave mixing) are coupled through the presence of light. In the second case, three modes of Bogoliubov quasiparticles (three-wave mixing) are coupled through s-wave interaction. In both cases, wave mixing induces oscillations in the population of the different modes that decay due to interactions. Analytic expressions for the dressed basis spectrum and the evolution of the mode populations in time are derived both for resonant mixing and nonresonant mixing. Oscillations in the population of a given mode are shown to lead to a splitting in the decay spectrum of that mode, in analogy with the optical Autler-Townes splitting in the decay spectrum of a strongly driven atom. These effects cannot be described by a mean-field approximation.

Authors:
; ; ; ;  [1]
  1. Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100 (Israel)
Publication Date:
OSTI Identifier:
20786579
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 72; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.72.053633; (c) 2005 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; APPROXIMATIONS; ATOMS; BOSONS; DECAY; ENERGY SPECTRA; MEAN-FIELD THEORY; MIXING; OSCILLATIONS; QUASI PARTICLES; S WAVES; STARK EFFECT; VISIBLE RADIATION

Citation Formats

Rowen, E., Ozeri, R., Katz, N., Pugatch, R., and Davidson, N. Dressed-state approach to matter-wave mixing of bosons. United States: N. p., 2005. Web. doi:10.1103/PHYSREVA.72.0.
Rowen, E., Ozeri, R., Katz, N., Pugatch, R., & Davidson, N. Dressed-state approach to matter-wave mixing of bosons. United States. doi:10.1103/PHYSREVA.72.0.
Rowen, E., Ozeri, R., Katz, N., Pugatch, R., and Davidson, N. Tue . "Dressed-state approach to matter-wave mixing of bosons". United States. doi:10.1103/PHYSREVA.72.0.
@article{osti_20786579,
title = {Dressed-state approach to matter-wave mixing of bosons},
author = {Rowen, E. and Ozeri, R. and Katz, N. and Pugatch, R. and Davidson, N.},
abstractNote = {A dressed-state approach to mixing of bosonic matter waves is presented. Two cases are studied using this formalism. In the first, two macroscopically populated modes of atoms (two-wave mixing) are coupled through the presence of light. In the second case, three modes of Bogoliubov quasiparticles (three-wave mixing) are coupled through s-wave interaction. In both cases, wave mixing induces oscillations in the population of the different modes that decay due to interactions. Analytic expressions for the dressed basis spectrum and the evolution of the mode populations in time are derived both for resonant mixing and nonresonant mixing. Oscillations in the population of a given mode are shown to lead to a splitting in the decay spectrum of that mode, in analogy with the optical Autler-Townes splitting in the decay spectrum of a strongly driven atom. These effects cannot be described by a mean-field approximation.},
doi = {10.1103/PHYSREVA.72.0},
journal = {Physical Review. A},
number = 5,
volume = 72,
place = {United States},
year = {Tue Nov 15 00:00:00 EST 2005},
month = {Tue Nov 15 00:00:00 EST 2005}
}
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