Combinatorial coherent states via normal ordering of bosons

Details Combinatorial coherent states via normal ordering of bosons Combinatorial coherent states via normal ordering of bosons

2003-11-06

arxiv.org/abs/quant-ph/0311033v1

Letters in Mathematical Physics 67:13-23, 2004

Physics

Quantum Physics

12 pages, 7 figures. 20 references. To be published in Letters in Mathematical Physics

Scientific paper

10.1023/B:MATH.0000027743.04310.

We construct and analyze a family of coherent states built on sequences of integers originating from the solution of the boson normal ordering problem. These sequences generalize the conventional combinatorial Bell numbers and are shown to be moments of positive functions. Consequently, the resulting coherent states automatically satisfy the resolution of unity condition. In addition they display such non-classical fluctuation properties as super-Poissonian statistics and squeezing.

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