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

Journal Article · Tue Feb 01 00:00:00 EST 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.71.023614· OSTI ID:20650121

Kevrekidis, P G; Herring, G ^[1]; Frantzeskakis, D J ^[2]; Carretero-Gonzalez, R ^[3]; Malomed, B A ^[4]; Bishop, A R ^[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)

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.

• OSTI ID: 20650121
• Journal Information: Physical Review. A, Vol. 71, Issue 2; Other Information: DOI: 10.1103/PhysRevA.71.023614; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ABSORPTION
BOSE-EINSTEIN CONDENSATION
COMPUTERIZED SIMULATION
EMISSION
MATTER
NUMERICAL ANALYSIS
PERIODICITY
PERTURBATION THEORY
SOLITONS
STABILITY
TRAPPING
TRAPS