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New photon-added and photon-depleted coherent states associated with inverse q-boson operators: nonclassical properties

M H Naderi, M Soltanolkotabi and R Roknizadeh

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In this paper, we introduce a new family of photon-added as well as photon-depleted q-deformed coherent states related to the inverse q-boson operators. These states are constructed via the generalized inverse q-boson operator actions on a newly introduced family of q-deformed coherent states (Quesne C 2002 J. Phys. A: Math. Gen. 35 9213) which are defined by slightly modifying the maths-type q-deformed coherent states. The quantum statistical properties of these photon-added and photon-depleted states, such as quadrature squeezing and photon-counting statistics, are discussed analytically and numerically in the context of both conventional (nondeformed) and deformed quantum optics.


PACS

42.50.Ar Photon statistics and coherence theory

03.65.Ge Solutions of wave equations: bound states

42.50.Dv Quantum state engineering and measurements

05.30.Jp Boson systems

MSC

81V80 Quantum optics

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

Subjects

Quantum gases, liquids and solids

Optics, quantum optics and lasers

Statistical physics and nonlinear systems

Quantum information and quantum mechanics

Dates

Issue 9 (5 March 2004)

Received 3 November 2003, in final form 16 December 2003

Published 18 February 2004



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