Mode locking of a driven BoseEinstein condensate
Abstract
We consider the dynamics of a driven BoseEinstein condensate with positive scattering length. Employing an accustomed variational treatment we show that when the scattering length is time modulated as a(1+{epsilon} sin[{omega}(t)t]), where {omega}(t) increases linearly in time, i.e., {omega}(t)={gamma}t, the response frequency of the condensate locks to the eigenfrequency for small values of {epsilon} and {gamma}. A simple analytical model is presented which explains this phenomenon by mapping it to an autoresonance, i.e., close to resonance the reduced equations describing the collective behavior of the condensate are equivalent to those of a virtual particle trapped in a finitedepth energy minimum of an effective potential.
 Authors:
 Niels Bohr Institute, Blegdamsvej 17, Copenhagen O, DK2100 (Denmark) and Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
 (Denmark)
 (United States)
 Publication Date:
 OSTI Identifier:
 21072402
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevE.75.036208; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSEEINSTEIN CONDENSATION; EIGENFREQUENCY; MODE LOCKING; POTENTIALS; RESONANCE; SCATTERING LENGTHS; SOLITONS; TRAPPING; VARIATIONAL METHODS; VIRTUAL PARTICLES
Citation Formats
Nicolin, Alexandru I., Jensen, Mogens H., CarreteroGonzalez, R., Niels Bohr Institute, Blegdamsvej 17, Copenhagen O, DK2100, and Nonlinear Dynamical Systems Group, Department of Mathematics and Statistics, and Computational Science Research Center, San Diego State University, San Diego, California 921827720. Mode locking of a driven BoseEinstein condensate. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVE.75.036208.
Nicolin, Alexandru I., Jensen, Mogens H., CarreteroGonzalez, R., Niels Bohr Institute, Blegdamsvej 17, Copenhagen O, DK2100, & Nonlinear Dynamical Systems Group, Department of Mathematics and Statistics, and Computational Science Research Center, San Diego State University, San Diego, California 921827720. Mode locking of a driven BoseEinstein condensate. United States. doi:10.1103/PHYSREVE.75.036208.
Nicolin, Alexandru I., Jensen, Mogens H., CarreteroGonzalez, R., Niels Bohr Institute, Blegdamsvej 17, Copenhagen O, DK2100, and Nonlinear Dynamical Systems Group, Department of Mathematics and Statistics, and Computational Science Research Center, San Diego State University, San Diego, California 921827720. Thu .
"Mode locking of a driven BoseEinstein condensate". United States.
doi:10.1103/PHYSREVE.75.036208.
@article{osti_21072402,
title = {Mode locking of a driven BoseEinstein condensate},
author = {Nicolin, Alexandru I. and Jensen, Mogens H. and CarreteroGonzalez, R. and Niels Bohr Institute, Blegdamsvej 17, Copenhagen O, DK2100 and Nonlinear Dynamical Systems Group, Department of Mathematics and Statistics, and Computational Science Research Center, San Diego State University, San Diego, California 921827720},
abstractNote = {We consider the dynamics of a driven BoseEinstein condensate with positive scattering length. Employing an accustomed variational treatment we show that when the scattering length is time modulated as a(1+{epsilon} sin[{omega}(t)t]), where {omega}(t) increases linearly in time, i.e., {omega}(t)={gamma}t, the response frequency of the condensate locks to the eigenfrequency for small values of {epsilon} and {gamma}. A simple analytical model is presented which explains this phenomenon by mapping it to an autoresonance, i.e., close to resonance the reduced equations describing the collective behavior of the condensate are equivalent to those of a virtual particle trapped in a finitedepth energy minimum of an effective potential.},
doi = {10.1103/PHYSREVE.75.036208},
journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
number = 3,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}

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