|
| related topics |
| {vol, operators, histories} |
| {state, states, coherent} |
| {equation, function, exp} |
| {temperature, thermal, energy} |
| {bell, inequality, local} |
|
Combinatorial coherent states via normal ordering of bosons
P. Blasiak, K. A. Penson, A. I. Solomon
abstract: 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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0311033
- categories:
- quant-ph math.CO
- comments:
- 12 pages, 7 figures. 20 references. To be published in Letters in
Mathematical Physics
- doi:
- 10.1023/B:MATH.0000027743.04310.df
- arxiv_id:
- quant-ph/0311033
- journal_ref:
- Letters in Mathematical Physics 67:13-23, 2004
- created:
- 2003-11-06
Full article ▸
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