# Dynamical localization of matter-wave solitons in managed barrier potentials

## Abstract

The bright matter-wave soliton propagation through a barrier with a rapidly oscillating position is investigated. The averaged-over rapid oscillations Gross-Pitaevskii equation is derived, where the effective potential has the form of a finite well. Dynamical trapping and quantum tunneling of the soliton in the effective finite well are investigated. The analytical predictions for the effective soliton dynamics is confirmed by numerical simulations of the full Gross-Pitaevskii equation.

- Authors:

- Physical-Technical Institute of the Uzbekistan Academy of Sciences, 700084, Tashkent-84, G.Mavlyanov str. 2-b (Uzbekistan)
- (Brazil)
- Laboratoire de Probabilites et Modeles Aleatoires and Laboratoire Jacques-Louis Lions, Universite Paris VII, 2 Place Jussieu, 75251 Paris Cedex 5 (France)

- Publication Date:

- OSTI Identifier:
- 20982372

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.75.033603; (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; FORECASTING; NUMERICAL SOLUTION; OSCILLATIONS; POTENTIALS; SIMULATION; SOLITONS; TRAPPING; TUNNEL EFFECT

### Citation Formats

```
Abdullaev, Fatkhulla Kh., Instituto de Fisica Teorica, UNESP, Rua Pamplona, 145, Sao Paulo, and Garnier, Josselin.
```*Dynamical localization of matter-wave solitons in managed barrier potentials*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVA.75.033603.

```
Abdullaev, Fatkhulla Kh., Instituto de Fisica Teorica, UNESP, Rua Pamplona, 145, Sao Paulo, & Garnier, Josselin.
```*Dynamical localization of matter-wave solitons in managed barrier potentials*. United States. doi:10.1103/PHYSREVA.75.033603.

```
Abdullaev, Fatkhulla Kh., Instituto de Fisica Teorica, UNESP, Rua Pamplona, 145, Sao Paulo, and Garnier, Josselin. Thu .
"Dynamical localization of matter-wave solitons in managed barrier potentials". United States.
doi:10.1103/PHYSREVA.75.033603.
```

```
@article{osti_20982372,
```

title = {Dynamical localization of matter-wave solitons in managed barrier potentials},

author = {Abdullaev, Fatkhulla Kh. and Instituto de Fisica Teorica, UNESP, Rua Pamplona, 145, Sao Paulo and Garnier, Josselin},

abstractNote = {The bright matter-wave soliton propagation through a barrier with a rapidly oscillating position is investigated. The averaged-over rapid oscillations Gross-Pitaevskii equation is derived, where the effective potential has the form of a finite well. Dynamical trapping and quantum tunneling of the soliton in the effective finite well are investigated. The analytical predictions for the effective soliton dynamics is confirmed by numerical simulations of the full Gross-Pitaevskii equation.},

doi = {10.1103/PHYSREVA.75.033603},

journal = {Physical Review. A},

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}

}

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.