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Journal ArticleDOI

Multiphoton Coherent States and the Linear Superposition Principle

Igor Jex, +1 more
- 01 May 1993 - 
- Vol. 40, Iss: 5, pp 771-783
TLDR
In this paper, it was shown that multiphoton coherent states can be expressed as linear quantum superpositions of a finite number of generalized coherent states, which can be used to express non-classical effects such as oscillations in the photon number distribution, quadrature squeezing, SU(1, 1) squeezing and SU(2, 2) squeezing.
Abstract
We show that multiphoton coherent states can be expressed as linear quantum superpositions of a finite number of generalized coherent states. Quantum interferences between component states lead to appearance of non-classical effects such as oscillations in the photon number distribution, quadrature squeezing, SU(1, 1) squeezing and others.

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Citations
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Journal ArticleDOI

'Nonclassical' states in quantum optics: a 'squeezed' review of the first 75 years

TL;DR: A review of studies performed in the field of non-classical states can be found in this article, with a focus on the evolution of Gaussian wave packets for an oscillator, a free particle and a particle moving in uniform constant electric and magnetic fields.
Journal ArticleDOI

Multiphoton quantum optics and quantum state engineering

TL;DR: A review of theoretical and experimental aspects of multiphoton quantum optics can be found in this paper, where the authors focus on parametric processes in nonlinear media, with special emphasis on the engineering of nonclassical states of photons and atoms that are relevant for the conceptual investigations and for the practical applications of modern quantum mechanics.
Journal ArticleDOI

Multiphoton Quantum Optics and Quantum State Engineering

TL;DR: A review of theoretical and experimental aspects of multiphoton quantum optics can be found in this paper, where the authors concentrate their attention on parametric processes in nonlinear media, with special emphasis on the engineering of nonclassical states of photons and atoms.
Book ChapterDOI

I: Quantum Interference, Superposition States of Light, and Nonclassical Effects

TL;DR: In this article, the authors discuss the quantum interference, superposition states of light and the nonclassical effects of quantum coherences between coherent states, and associate quantum correlations with quantum interference in the phase space.
Journal ArticleDOI

Graphene coherent states

TL;DR: In this paper, the coherent states for a Dirac electron in graphene placed in a constant homogeneous magnetic field which is orthogonal to the graphene surface were derived as eigenstates of the annihilation operator with complex eigenvalues.
References
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Journal ArticleDOI

Comparison of quantum and semiclassical radiation theories with application to the beam maser

TL;DR: In this article, it was shown that the semiclassical theory, when extended to take into account both the effect of the field on the molecules and the effects of the molecules on the field, reproduces the same laws of energy exchange and coherence properties as the quantized field theory, even in the limit of one or a few quanta in the field mode.
Journal ArticleDOI

Generation of Squeezed States by Parametric Down Conversion

TL;DR: A quantitative comparison with theory suggests that the observed squeezing results from a field that in the absence of linear attenuation would be squeezed by greater then tenfold.
Journal ArticleDOI

Coherent states for arbitrary Lie group

TL;DR: In this paper, the concept of coherent states originally closely related to the nilpotent group of Weyl is generalized to arbitrary Lie groups and its features are investigated for the simplest Lie groups.
Posted Content

Coherent states for arbitrary Lie group

TL;DR: In this article, the concept of coherent states originally closely related to the nilpotent group of Weyl is generalized to arbitrary Lie groups and its features are investigated for the simplest Lie groups.
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