Simon, R. ; Mukunda, N. (1993) Iwasawa decomposition for SU(1, 1) and the Guoy effect for squeezed states Optics Communications, 95 (1-3). pp. 39-45. ISSN 0030-4018
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/003040...
Related URL: http://dx.doi.org/10.1016/0030-4018(93)90045-7
Abstract
We introduce Iwasawa decomposition for the squeezing group SU(1, 1) and reduce the problem of q-representation of squeezed coherent states and their time evolution to a totally algebraic problem. We employ this decomposition to demonstrate a Guoy effect for squeezed states analogous to the classical Guoy phase jump in a focused light beam. The Iwasawa decomposition leads to a representation wherein the dynamics of squeezed states is governed by fractional linear transformations in the complex plane.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 25276 |
| Deposited On: | 06 Dec 2010 13:39 |
| Last Modified: | 08 Jun 2011 04:28 |
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