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Title: Phase-matched four wave mixing and quantum beam splitting of matter waves in a periodic potential

Abstract

We show that the dispersion properties imposed by an external periodic potential ensure both energy and quasimomentum conservation such that correlated pairs of atoms can be generated by four wave mixing from a Bose-Einstein condensate moving in an optical lattice potential. In our numerical solution of the Gross-Pitaevskii equation, a condensate with initial quasimomentum k{sub 0} is transferred almost completely (>95%) into a pair of correlated atomic components with quasimomenta k{sub 1} and k{sub 2}, if the system is seeded with a smaller number of atoms with the appropriate quasimomentum k{sub 1}.

Authors:
;  [1]
  1. Danish National Research Foundation Center for Quantum Optics, Department of Physics and Astronomy, University of Aarhus, DK-8000 Aarhus C (Denmark)
Publication Date:
OSTI Identifier:
20653242
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 71; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevA.71.041602; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; ATOMS; BEAM SPLITTING; BOSE-EINSTEIN CONDENSATION; FREQUENCY MIXING; MATTER; NUMERICAL SOLUTION; PERIODICITY; POTENTIALS; QUANTUM MECHANICS; WAVE EQUATIONS

Citation Formats

Hilligsoee, Karen Marie, and Moelmer, Klaus. Phase-matched four wave mixing and quantum beam splitting of matter waves in a periodic potential. United States: N. p., 2005. Web. doi:10.1103/PhysRevA.71.041602.
Hilligsoee, Karen Marie, & Moelmer, Klaus. Phase-matched four wave mixing and quantum beam splitting of matter waves in a periodic potential. United States. https://doi.org/10.1103/PhysRevA.71.041602
Hilligsoee, Karen Marie, and Moelmer, Klaus. 2005. "Phase-matched four wave mixing and quantum beam splitting of matter waves in a periodic potential". United States. https://doi.org/10.1103/PhysRevA.71.041602.
@article{osti_20653242,
title = {Phase-matched four wave mixing and quantum beam splitting of matter waves in a periodic potential},
author = {Hilligsoee, Karen Marie and Moelmer, Klaus},
abstractNote = {We show that the dispersion properties imposed by an external periodic potential ensure both energy and quasimomentum conservation such that correlated pairs of atoms can be generated by four wave mixing from a Bose-Einstein condensate moving in an optical lattice potential. In our numerical solution of the Gross-Pitaevskii equation, a condensate with initial quasimomentum k{sub 0} is transferred almost completely (>95%) into a pair of correlated atomic components with quasimomenta k{sub 1} and k{sub 2}, if the system is seeded with a smaller number of atoms with the appropriate quasimomentum k{sub 1}.},
doi = {10.1103/PhysRevA.71.041602},
url = {https://www.osti.gov/biblio/20653242}, journal = {Physical Review. A},
issn = {1050-2947},
number = 4,
volume = 71,
place = {United States},
year = {Fri Apr 01 00:00:00 EST 2005},
month = {Fri Apr 01 00:00:00 EST 2005}
}