# Using modified Gaussian distributions to study the physical properties of one- and two-component ultracold atoms

## Abstract

Gaussian distribution is commonly used as a good approximation to study the trapped one-component Bose-condensed atoms with relatively small nonlinear effect. It is not adequate in dealing with the one-component system of large nonlinear effect, nor the two-component system where phase separation exists. We propose a modified Gaussian distribution which is more effective when dealing with the one-component system with relatively large nonlinear terms as well as the two-component system. The modified Gaussian is also used to study the breathing modes of the two-component system, which shows a drastic change in the mode dispersion at the occurrence of the phase separation. The results obtained are in agreement with other numerical results.

- Authors:

- Department of Physics, National Taiwan Normal University, Taipei 11650, Taiwan (China)

- Publication Date:

- OSTI Identifier:
- 20982160

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.75.023609; (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; APPROXIMATIONS; ATOMS; BOSE-EINSTEIN CONDENSATION; GAUSS FUNCTION; NONLINEAR PROBLEMS; PHYSICAL PROPERTIES; TRAPPING

### Citation Formats

```
Huang, Chou-Chun, and Wu, Wen-Chin.
```*Using modified Gaussian distributions to study the physical properties of one- and two-component ultracold atoms*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVA.75.023609.

```
Huang, Chou-Chun, & Wu, Wen-Chin.
```*Using modified Gaussian distributions to study the physical properties of one- and two-component ultracold atoms*. United States. doi:10.1103/PHYSREVA.75.023609.

```
Huang, Chou-Chun, and Wu, Wen-Chin. Thu .
"Using modified Gaussian distributions to study the physical properties of one- and two-component ultracold atoms". United States.
doi:10.1103/PHYSREVA.75.023609.
```

```
@article{osti_20982160,
```

title = {Using modified Gaussian distributions to study the physical properties of one- and two-component ultracold atoms},

author = {Huang, Chou-Chun and Wu, Wen-Chin},

abstractNote = {Gaussian distribution is commonly used as a good approximation to study the trapped one-component Bose-condensed atoms with relatively small nonlinear effect. It is not adequate in dealing with the one-component system of large nonlinear effect, nor the two-component system where phase separation exists. We propose a modified Gaussian distribution which is more effective when dealing with the one-component system with relatively large nonlinear terms as well as the two-component system. The modified Gaussian is also used to study the breathing modes of the two-component system, which shows a drastic change in the mode dispersion at the occurrence of the phase separation. The results obtained are in agreement with other numerical results.},

doi = {10.1103/PHYSREVA.75.023609},

journal = {Physical Review. A},

number = 2,

volume = 75,

place = {United States},

year = {Thu Feb 15 00:00:00 EST 2007},

month = {Thu Feb 15 00:00:00 EST 2007}

}