|
| related topics |
| {state, states, coherent} |
| {group, space, representation} |
| {photon, photons, single} |
| {operator, operators, space} |
| {equation, function, exp} |
| {light, field, probe} |
|
Coherent States for Kronecker Products of Non-Compact Groups:
Formulation and Applications
Bindu A. Bambah, G. S. Agarwal
abstract: We introduce and study the properties of a class of coherent states for the
group SU(1,1) X SU(1,1) and derive explicit expressions for these using the
Clebsch-Gordan algebra for the SU(1,1) group. We restrict ourselves to the
discrete series representations of SU(1,1). These are the generalization of the
`Barut Girardello' coherent states to the Kronecker Product of two non-compact
groups.The resolution of the identity and the analytic phase space
representation of these states is presented. This phase space representation is
based on the basis of products of `pair coherent states' rather than the
standard number state canonical basis. We discuss the utility of the resulting
`bi-pair coherent states' in the context of four-mode interactions in quantum
optics.
- oai_identifier:
- oai:arXiv.org:quant-ph/9604025
- categories:
- quant-ph
- comments:
- 7 pages, 2 figures (can be obtained from author by snail mail)
- arxiv_id:
- quant-ph/9604025
- journal_ref:
- Invited talk published in "Proc. of the fourth int. conf. on
Squeezed States and Uncertainty Relations", NASA Conf. Pub.3322.(1995)
- created:
- 1996-04-23
Full article ▸
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