General two-mode squeezed states |
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| Authors: | R F Bishop A Vourdas |
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| Institution: | (1) Department of Mathematics, University of Manchester, Institute of Science and Technology, P.O. Box 88, M60 1QD Manchester, UK;(2) Fachbereich Physik, Universität Marburg, Federal Republic of Germany;(3) Present address: Department of Electrical Engineering and Electronics, University of Liverpool, Brownlow Hill, P.O. Box 147, L69 3BX Liverpool, UK |
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| Abstract: | The states
|A
1
A
2 are considered, where the operators
are associated with a unitary representation of the groupSp(4, ), and the two-mode Glauber coherent states |A
1
A
2> are joint eigenstates of the destruction operatorsa
1 anda
2 for the two independent oscillator modes. We show that they are ordinary coherent states with respect to new operatorsb
1 andb
2, which are themselves general linear (Bogolibov) transformations of the original operatorsa
1,a
2 and their hermitian conjugatesa
1
,a
2
. We further show how they may be regarded as the most general two-mode squeezed states. Most previous work on two-mode squeezed states appears to be based on more restrictive definitions than our own, and thereby reduces to special cases which are unified within our treatment. |
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| Keywords: | |
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