Stability limits for two-dimensional matter-wave solitons in a time-modulated quasi-one-dimensional optical lattice

Journal Article · Thu Nov 15 04:00:00 EST 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.053612· OSTI ID:21028053

Mayteevarunyoo, Thawatchai ^[1]; Malomed, Boris A ^[2]; Krairiksh, Monai ^[3]

---

1. Department of Telecommunication Engineering, Mahanakorn University of Technology, Bangkok 10530 (Thailand)
2. Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978 (Israel)
3. Faculty of Engineering and Research Center for Communications and Information Technology, King Mongkut's Institute of Technology, Ladkrabang, Bangkok 10520 (Thailand)

In a basic physical model where two-dimensional (2D) matter-wave solitons may be stable, namely, the Gross-Pitaevskii equation with the self-attractive nonlinearity and quasi-one-dimensional (1D) optical-lattice (OL) potential, we test robustness of the solitons against periodic time modulation of the OL strength. Stability diagrams for the 2D solitons are presented in the plane of the modulation depth and frequency. Basic features of the diagrams are explained with the help of the variational approximation for the stationary counterpart of the model. In the Bose-Einstein condensate of {sup 7}Li atoms, the stable 2D solitons may contain the number of atoms in the range of 10{sup 4}-10{sup 5}, relevant values of the OL strength and modulation frequency being, respectively < or approx. 5 recoil energies and < or approx. 10 kHZ. Head-on collisions between stable 2D solitons moving in the unconfined direction are studied in detail too, for velocities up to {approx}5 cm/s. A border between quasi-elastic collisions and merger of the solitons into a single localized state is identified. In some cases, the soliton produced by the merger is stable against collapse, which was not observed before in the static OL potential either.

• OSTI ID: 21028053
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 76; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
ATOMS
BOSE-EINSTEIN CONDENSATION
COLLISIONS
EQUATIONS
KHZ RANGE
LITHIUM
LITHIUM 7
MATTER
MODULATION
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
PERIODICITY
POTENTIALS
RECOILS
SOLITONS
STABILITY
TWO-DIMENSIONAL CALCULATIONS
VARIATIONAL METHODS
VELOCITY