Phase operators for SU(1,1): Application to the squeezed vacuum
- 1 August 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 38 (4) , 1734-1738
- https://doi.org/10.1103/physreva.38.1734
Abstract
A phase-operator formalism is constructed for the Lie algebra of SU(1,1). Uncertainty relations, analogous to the usual number-phase relations, are also constructed. These relations are then evaluated for SU(1,1) coherent states, of which the squeezed-vacuum state of the electromagnetic field is an example. We argue that the new phase, in the case of single-mode fields, may be interpreted as the phase associated with the square of the field amplitude.Keywords
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