Journal ArticleDOI
An exact calculation of the expectation values of phase operators in squeezed states
Hong-Yi Fan,H.R. Zaidi +1 more
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In this article, the IWOP (integration within an ordered product of operators) technique is used to calculate the exact expectation values of the phase operators in single and two-mode squeezed states.About:
This article is published in Optics Communications.The article was published on 1988-09-15. It has received 38 citations till now. The article focuses on the topics: Squeezed coherent state.read more
Citations
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Journal ArticleDOI
Phase properties of squeezed states of light
John A. Vaccaro,David T. Pegg +1 more
TL;DR: In this paper, the phase probability density of the unitary and hermitian phase operators was derived for the case of the squeezed vacuum. But the results differ markedly from previous calculations involving the Susskind and Glogower operators.
Book ChapterDOI
Quantum Optical Phase
David T. Pegg,Stephen M. Barnett +1 more
TL;DR: The Hermitian optical phase operator cannot be represented exactly in the usual-infinite Hilbert space but can be constructed in a subspace of it and provides a valid representation of phase if used together with a suitable limiting procedure.
Journal ArticleDOI
Phase properties of squeezed states
TL;DR: In this article, exact phase calculations for general squeezed states are presented for different phase definitions, using number-state expansions, and it is shown that the calculations based on measured-phase operator formalism leads to contrasting behavior compared with those based on the Susskind-Glogower, Lerner-Lynch, and Hermitian-phase-operator formalisms.
Book ChapterDOI
VI Quantum Phase Properties of Nonlinear Optical Phenomena
TL;DR: In this article, the quantum phase properties of nonlinear optical phenomena are discussed, which depend on the nonlinear process in which the field is produced, and on the state of the field before it undergoes a nonlinear transformation.
References
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Journal ArticleDOI
Phase and Angle Variables in Quantum Mechanics
TL;DR: In this paper, a detailed analysis of the three-dimensional harmonic oscillator excited in coherent states is given, with special attention to the uncertainty relations and the transition to the classical limit.
Journal ArticleDOI
Quantum mechanical phase and time operator
TL;DR: In this paper, the phase operator for an oscillator is shown not to exist and a pair of non-commuting sin and cos operators are used to define uncertainty relations for phase and number.
Journal ArticleDOI
Quantum mechanical pure states with gaussian wave functions
TL;DR: In this article, the authors examined single-mode and two-mode Gaussian pure states (GPS), quantum mechanical pure states with Gaussian wave functions, and derived many of the important properties of GPS and of the Hamiltonians and unitary operators associated with them.
Journal ArticleDOI
Squeezed states of light from an optical parametric oscillator
Ling-An Wu,Min Xiao,H. J. Kimble +2 more
TL;DR: In this paper, the authors show that the electromagnetic field state produced by degenerate parametric downconversion in a subthreshold optical parametric oscillator is a state of minimum uncertainty.
Journal ArticleDOI
Generation of number-phase minimum-uncertainty states and number states
TL;DR: In this paper, the difference between the two nonclassical photon states, i.e., the squeezed state and the number-phase minimum-uncertainty state, is discussed.