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Title: Statics, dynamics, and manipulations of bright matter-wave solitons in optical lattices

Abstract

Motivated by the recent experimental achievements in the work with Bose-Einstein condensates (BECs), we consider bright matter-wave solitons, in the presence of a parabolic magnetic trap and a spatially periodic optical lattice (OL), in the attractive BEC. We examine pinned states of the soliton and their stability by means of perturbation theory. The analytical predictions are found to be in good agreement with numerical simulations. We then explore possibilities to use a time-modulated OL as a means of stopping and trapping a moving soliton, and of transferring an initially stationary soliton to a prescribed position by a moving OL. We also study the emission of radiation from the soliton moving across the combined magnetic trap and OL. We find that the soliton moves freely (without radiation) across a weak lattice, but suffers strong loss in deeper OLs.

Authors:
;  [1];  [2];  [3];  [4];  [5]
  1. Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515 (United States)
  2. Department of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 15784 (Greece)
  3. Nonlinear Dynamical Systems Group, Department of Mathematics and Statistics, San Diego State University, San Diego, California 92182-7720 (United States)
  4. Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978 (Israel)
  5. Center for Nonlinear Studies and Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
Publication Date:
OSTI Identifier:
20650121
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 71; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.71.023614; (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; ABSORPTION; BOSE-EINSTEIN CONDENSATION; COMPUTERIZED SIMULATION; EMISSION; MATTER; NUMERICAL ANALYSIS; PERIODICITY; PERTURBATION THEORY; SOLITONS; STABILITY; TRAPPING; TRAPS

Citation Formats

Kevrekidis, P.G., Herring, G., Frantzeskakis, D.J., Carretero-Gonzalez, R., Malomed, B.A., and Bishop, A.R. Statics, dynamics, and manipulations of bright matter-wave solitons in optical lattices. United States: N. p., 2005. Web. doi:10.1103/PhysRevA.71.023614.
Kevrekidis, P.G., Herring, G., Frantzeskakis, D.J., Carretero-Gonzalez, R., Malomed, B.A., & Bishop, A.R. Statics, dynamics, and manipulations of bright matter-wave solitons in optical lattices. United States. doi:10.1103/PhysRevA.71.023614.
Kevrekidis, P.G., Herring, G., Frantzeskakis, D.J., Carretero-Gonzalez, R., Malomed, B.A., and Bishop, A.R. Tue . "Statics, dynamics, and manipulations of bright matter-wave solitons in optical lattices". United States. doi:10.1103/PhysRevA.71.023614.
@article{osti_20650121,
title = {Statics, dynamics, and manipulations of bright matter-wave solitons in optical lattices},
author = {Kevrekidis, P.G. and Herring, G. and Frantzeskakis, D.J. and Carretero-Gonzalez, R. and Malomed, B.A. and Bishop, A.R.},
abstractNote = {Motivated by the recent experimental achievements in the work with Bose-Einstein condensates (BECs), we consider bright matter-wave solitons, in the presence of a parabolic magnetic trap and a spatially periodic optical lattice (OL), in the attractive BEC. We examine pinned states of the soliton and their stability by means of perturbation theory. The analytical predictions are found to be in good agreement with numerical simulations. We then explore possibilities to use a time-modulated OL as a means of stopping and trapping a moving soliton, and of transferring an initially stationary soliton to a prescribed position by a moving OL. We also study the emission of radiation from the soliton moving across the combined magnetic trap and OL. We find that the soliton moves freely (without radiation) across a weak lattice, but suffers strong loss in deeper OLs.},
doi = {10.1103/PhysRevA.71.023614},
journal = {Physical Review. A},
number = 2,
volume = 71,
place = {United States},
year = {Tue Feb 01 00:00:00 EST 2005},
month = {Tue Feb 01 00:00:00 EST 2005}
}