# Discrete Symmetries and 1/3-Quantum Vortices in Condensates of F=2 Cold Atoms

## Abstract

In this Letter we study discrete symmetries of mean field manifolds of condensates of F=2 cold atoms, and various unconventional quantum vortices. Discrete quaternion symmetries result in two species of spin defects that can only appear in integer vortices while cyclic symmetries are found to result in a phase shift of 2{pi}/3 (or 4{pi}/3) and therefore 1/3- (or 2/3-) quantum vortices in condensates. We also briefly discuss 1/3-quantum vortices in condensates of trimers.

- Authors:

- Department of Physics and Astronomy, University of British Columbia, Vancouver, B.C., V6T 1Z1 (Canada)

- Publication Date:

- OSTI Identifier:
- 20957712

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review Letters; Journal Volume: 98; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevLett.98.100401; (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; CONDENSATES; MEAN-FIELD THEORY; PHASE SHIFT; QUANTUM MECHANICS; SPIN; SYMMETRY

### Citation Formats

```
Semenoff, Gordon W., and Zhou, Fei.
```*Discrete Symmetries and 1/3-Quantum Vortices in Condensates of F=2 Cold Atoms*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVLETT.98.100401.

```
Semenoff, Gordon W., & Zhou, Fei.
```*Discrete Symmetries and 1/3-Quantum Vortices in Condensates of F=2 Cold Atoms*. United States. doi:10.1103/PHYSREVLETT.98.100401.

```
Semenoff, Gordon W., and Zhou, Fei. Fri .
"Discrete Symmetries and 1/3-Quantum Vortices in Condensates of F=2 Cold Atoms". United States.
doi:10.1103/PHYSREVLETT.98.100401.
```

```
@article{osti_20957712,
```

title = {Discrete Symmetries and 1/3-Quantum Vortices in Condensates of F=2 Cold Atoms},

author = {Semenoff, Gordon W. and Zhou, Fei},

abstractNote = {In this Letter we study discrete symmetries of mean field manifolds of condensates of F=2 cold atoms, and various unconventional quantum vortices. Discrete quaternion symmetries result in two species of spin defects that can only appear in integer vortices while cyclic symmetries are found to result in a phase shift of 2{pi}/3 (or 4{pi}/3) and therefore 1/3- (or 2/3-) quantum vortices in condensates. We also briefly discuss 1/3-quantum vortices in condensates of trimers.},

doi = {10.1103/PHYSREVLETT.98.100401},

journal = {Physical Review Letters},

number = 10,

volume = 98,

place = {United States},

year = {Fri Mar 09 00:00:00 EST 2007},

month = {Fri Mar 09 00:00:00 EST 2007}

}

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