Published May 7, 2010
| Version v1
Journal article
A quasi-exactly solvable Lipkin-Meshkov-Glick model
Creators
- 1. Department of Physics, Liaoning Normal University, Dalian 116029 (China)
- 2. Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803-4001 (United States)
Description
We prove that a special Lipkin-Meshkov-Glick model is quasi-exactly solvable with solutions that can be expressed in the SU(2) coherent state form. Ground-state properties of the model are studied analytically. We also show that the model reduces to the standard two-site Bose-Hubbard model in the large-N limit for finite U/t or large (N - 1)|U|/t cases with finite N, which proves that in these cases the ground state of the standard two-site Bose-Hubbard model is an SU(2) coherent state.
Availability note (English)
Available from http://dx.doi.org/10.1088/1751-8113/43/18/185203Additional details
Identifiers
- DOI
- 10.1088/1751-8113/43/18/185203;
- PII
- S1751-8113(10)40100-6;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 43
- Journal Issue
- 18
- Journal Page Range
- [8 p.]
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 42011501
- Subject category
- S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- ANNIHILATION OPERATORS; EIGENSTATES; EXACT SOLUTIONS; GROUND STATES; HUBBARD MODEL; SU-2 GROUPS
- Descriptors DEC
- CRYSTAL MODELS; ENERGY LEVELS; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; QUANTUM OPERATORS; SU GROUPS; SYMMETRY GROUPS