Squeezed States as Representations of Symplectic Groups

dc.creatorHan, D.
dc.creatorKim, Y. S.
dc.date1998-03-11
dc.date.accessioned2026-07-07T10:15:57Z
dc.date.available2026-07-07T10:15:57Z
dc.descriptionIt is shown that the SU(1,1)-like and SU(2)-like two-photon coherent states can be combined to form a O(3,2)-like two-photon states. Since the O(3,2) group has many subgroups, there are also many new interesting new coherent and squeezed two-photon states. Among them is the two-photon sheared state whose symmetry property is like that for the two-dimensional Euclidean group. There are now two-phonon coherent states which may exhibit symmetries not yet observed for photons, including sheared states. Let us note that both SU(1,1) and S(3,2) are isomorphic to the symplectic groups Sp(2) and Sp(4) respectively, and that symplectic transformations consist of rotations and squeeze transformations.
dc.descriptionRevTex 6 pages,no figures,presented at the 5th International Conference on Squeezed States and Uncertainty Relations (Lake Balatonfured, Hungary, May 27-31, 1997), to be published in the Proceedings
dc.identifierhttps://arxiv.org/abs/physics/9803017
dc.identifierhttp://arxiv.org/abs/physics/9803017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173346
dc.subjectOptics
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleSqueezed States as Representations of Symplectic Groups
dc.typetext

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