Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical Review A

Bifurcation in the phase probability distribution of a highly squeezed state

Wolfgang P. Schleich, R. J. Horowicz, Sándor Varró

Published Dec 1, 1989• 134 citations
Publisher

Abstract

We calculate the phase distribution of a highly squeezed state using both a definition of a phase eigenstate and the area-of-overlap principle. This probability curve undergoes a transition from a single- to a double-peaked distribution when we decrease the product of squeeze and displacement parameters.
DOI
10.1103/physreva.40.7405

Related papers

A Bifurcation in Squeezed State Physics: But How? or Area-of-Overlap in Phase Space as a Guide to the Phase Distribution and the Action-Angle Wigner Function of a Squeezed State

Wolfgang P. Schleich, R. J. Horowicz, Sándor Varró

Springer proceedings in physics•Jan 1, 1989•9 citations

Phase probability distributions of photon-subtracted squeezed vacuum states

Wan Peng

Using the phase state and phase operator introduced by Pegg and Barnett,the phase probability distributions of the photon-subtracted squeezed vacuum states were investigated.Numerical results indicate that the phase probability distribution of the photon-subtracted squeezed vacuum states are mainly regulated by the phase parameter and the squeezing parameter.The phase parameter causes the probability distributions exhibiting peak and vale shape,and peak value is determined by the squeezing parameter.Furthermore,the phase probability distributions are influenced by the photon-subtracted number in a certain extent.

Journal of Chongqing University of Posts and Telecommunications•Jan 1, 2007•0 citations

Statistical phase properties of generalized coherent statesof the non-harmonic oscilator

LU Dao-ming

Based on the definition of Pegg-Barnett phase state, the phase probability distribution functions of generalized coherent states are analytically calculated. It is shown that the phase probability distribution curve is the poisson distribution and the peak value of the curve increases when the value of |β| increases.

Journal of Guizhou Normal University•Jan 1, 2004•0 citations

Area of overlap and interference in phase space versus Wigner pseudoprobabilities

Wolfgang P. Schleich, Daniel F. Walls, JOHN ARCHIBALD WHEELER

In the semiclassical approximation, the quantum-mechanical scalar product between two quantum states is governed by (1) the areas of overlap in phase space of these states and (2) interference between the probability amplitudes contributed by these areas. We compare and contrast this principle with Wigner's concept of pseudoprobabilities in phase space and illustrate the essential points of both treatments by the oscillations in the photon distribution of a highly squeezed state.

Physical Review A•Aug 1, 1988•142 citations

Exponential decrease in phase uncertainty

Wolfgang P. Schleich, Jonathan P. Dowling, R. J. Horowicz

The phase probability curve of a recently proposed photon state consists of a broad background with a sharp central peak [J. H. Shapiro, S. R. Shepard, and N. Wong, Phys. Rev. Lett. 62, 2377 (1989)]. These authors argue that the inverse peak-height phase uncertainty \ensuremath{\delta}cphi of this distribution decreases inversely as the square of the mean photon number 〈m〉---an improvement over either coherent or highly squeezed states. We show that the width \ensuremath{\Delta}cphi of the best-fitting Gaussian to the central peak--a measure of phase uncertainty tailored to this narrow feature--decreases exponentially with increasing 〈m〉. The importance of this result may be offset by the observation that the area under this peak also vanishes very rapidly.

Physical Review A•Sep 1, 1991•31 citations

Phase Properties of Squeezed Number States

Ravinder Nath, Pradumn Kumar

We have studied the phase properties of the squeezed number states by evaluating the expression for the phase probability distribution and the phase variance. In addition, the expression for the photon number distribution of the squeezed phase states has been evaluated.

Journal of Modern Optics•Aug 1, 1991•10 citations
Using the phase state and phase operator introduced by Pegg and Barnett,the phase probability distributions of the photon-subtracted squeezed vacuum states were investigated.Numerical results indicate that the phase probability distribution of the photon-subtracted squeezed vacuum states are mainly regulated by the phase parameter and the squeezing parameter.The phase parameter causes the probability distributions exhibiting peak and vale shape,and peak value is determined by the squeezing parameter.Furthermore,the phase probability distributions are influenced by the photon-subtracted number in a certain extent.
The phase probability curve of a recently proposed photon state consists of a broad background with a sharp central peak [J. H. Shapiro, S. R. Shepard, and N. Wong, Phys. Rev. Lett. 62, 2377 (1989)]. These authors argue that the inverse peak-height phase uncertainty \ensuremath{\delta}cphi of this distribution decreases inversely as the square of the mean photon number 〈m〉---an improvement over either coherent or highly squeezed states. We show that the width \ensuremath{\Delta}cphi of the best-fitting Gaussian to the central peak--a measure of phase uncertainty tailored to this narrow feature--decreases exponentially with increasing 〈m〉. The importance of this result may be offset by the observation that the area under this peak also vanishes very rapidly.