# Effective one-component description of two-component Bose-Einstein condensate dynamics

## Abstract

We investigate dynamics in two-component Bose-Einstein condensates in the context of coupled Gross-Pitaevskii equations and derive results for the evolution of the total density fluctuations. Using these results, we show how, in many cases of interest, the dynamics can be accurately described with an effective one-component Gross-Pitaevskii equation for one of the components, with the trap and interaction coefficients determined by the relative differences in the scattering lengths. We discuss the model in various regimes, where it predicts breathing excitations, and the formation of vector solitons. An effective nonlinear evolution is predicted for some cases of current experimental interest. We then apply the model to construct quasistationary states of two-component condensates.

- Authors:

- Electron and Optical Division, National Institute of Standards Technology, Gaithersburg, Maryland 20899-8410 (United States)

- Publication Date:

- OSTI Identifier:
- 20717960

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. A; Journal Volume: 71; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.71.063618; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; BOSE-EINSTEIN CONDENSATION; DENSITY; EVOLUTION; EXCITATION; FLUCTUATIONS; NONLINEAR PROBLEMS; SCATTERING LENGTHS; SOLITONS; TRAPS; VECTORS; WAVE EQUATIONS

### Citation Formats

```
Dutton, Zachary, and Clark, Charles W.
```*Effective one-component description of two-component Bose-Einstein condensate dynamics*. United States: N. p., 2005.
Web. doi:10.1103/PhysRevA.71.063618.

```
Dutton, Zachary, & Clark, Charles W.
```*Effective one-component description of two-component Bose-Einstein condensate dynamics*. United States. doi:10.1103/PhysRevA.71.063618.

```
Dutton, Zachary, and Clark, Charles W. Wed .
"Effective one-component description of two-component Bose-Einstein condensate dynamics". United States. doi:10.1103/PhysRevA.71.063618.
```

```
@article{osti_20717960,
```

title = {Effective one-component description of two-component Bose-Einstein condensate dynamics},

author = {Dutton, Zachary and Clark, Charles W.},

abstractNote = {We investigate dynamics in two-component Bose-Einstein condensates in the context of coupled Gross-Pitaevskii equations and derive results for the evolution of the total density fluctuations. Using these results, we show how, in many cases of interest, the dynamics can be accurately described with an effective one-component Gross-Pitaevskii equation for one of the components, with the trap and interaction coefficients determined by the relative differences in the scattering lengths. We discuss the model in various regimes, where it predicts breathing excitations, and the formation of vector solitons. An effective nonlinear evolution is predicted for some cases of current experimental interest. We then apply the model to construct quasistationary states of two-component condensates.},

doi = {10.1103/PhysRevA.71.063618},

journal = {Physical Review. A},

number = 6,

volume = 71,

place = {United States},

year = {Wed Jun 15 00:00:00 EDT 2005},

month = {Wed Jun 15 00:00:00 EDT 2005}

}