Barut-Girardello coherent states for sp(N,C) and multimode Schrödinger cat states
نویسنده
چکیده
Overcomplete families of states of the type of Barut-Girardello coherent states (BG CS) are constructed for noncompact algebras u(p, q) and sp(N,C) in quadratic bosonic representation. The sp(N,C) BG CS are obtained in the form of multimode ordinary Schrödinger cat states. A set of such macroscopic superpositions is pointed out which is overcomplete in the whole N mode Hilbert space (while the associated sp(N,C) representation is reducible). The multimode squared amplitude Schrödinger cat states are introduced as macroscopic superpositions of the obtained sp(N,C) BG CS.
منابع مشابه
Barut - Girardello coherent states for u ( p , q ) and sp ( N , R ) and their macroscopic superpositions
The Barut-Girardello coherent states (BG CS) representation is extended to the noncompact algebras u(p, q) and sp(N,R) in (reducible) quadratic boson realizations. The sp(N,R) BG CS take the form of multimode ordinary Schrödinger cat states. Macroscopic superpositions of 2n−1 sp(N,R) CS (2n canonical CS (CCS), n = 1, 2, . . .) are pointed out which are overcomplete in the N mode Hilbert space a...
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