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Some statistical properties of the even and the odd negative binomial states

Amitabh Joshi-+ and A-S F Obada++

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New states of electromagnetic field, i.e. even and odd negative binomial states are introduced here. These states interpolate between the even (odd) coherent states and the even (odd) quasi-thermal states. Various statistical properties of these states such as the mean photon number, second-order coherence function, normal squeezing are calculated. The Wigner function for these states are also discussed. These results may be useful for carrying out systematic study of the non-classical properties of `Schrödinger cat states' as one moves from even (odd) coherent state to even (odd) quasi-thermal state.


PACS

42.50.Ar Photon statistics and coherence theory

42.50.Dv Quantum state engineering and measurements

03.65.Db Functional analytical methods

02.50.Ng Distribution theory and Monte Carlo studies

03.65.Yz Decoherence; open systems; quantum statistical methods

MSC

81R30 Coherent states (See also 22E45); squeezed states (See also 81V80)

81V80 Quantum optics

81S30 Phase space methods including Wigner distributions, etc.

62Exx Distribution theory (See also 60Exx)

Subjects

Computational physics

Optics, quantum optics and lasers

Quantum information and quantum mechanics

Dates

Issue 1 (7 January 1997)

Received 5 July 1996



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