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ACTA PHOTONICA SINICA

Phase Probability Distributions of the Excited Squeezed Vacuum States

Wan Peng

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

Making use of the phase state theory introduced by Pegg and Barnett,the phase probability distributions of the excited squeezed vacuum states were investigated.And then the influence of the phase parameter,the squeezing parameter and the excited photon number on the phase probability distributions were studied with the aid of numerical method.It is shown that these probability distributions of the states are regulated by the phase parameter and the squeezing parameter mainly.The variety of phase parameter causes the probability distributions exhibiting peak and vale shape.The peak and vale values are determined by the squeezing parameter.Furthermore,the phase probability distributions are influenced by the excited photon number in a certain extent.

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Acta Physica Sinica•Jan 1, 2007•1 citation
Making use of the phase state theory introduced by Pegg and Barnett,the phase probability distributions of the excited squeezed vacuum states were investigated.And then the influence of the phase parameter,the squeezing parameter and the excited photon number on the phase probability distributions were studied with the aid of numerical method.It is shown that these probability distributions of the states are regulated by the phase parameter and the squeezing parameter mainly.The variety of phase parameter causes the probability distributions exhibiting peak and vale shape.The peak and vale values are determined by the squeezing parameter.Furthermore,the phase probability distributions are influenced by the excited photon number in a certain extent.
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.
A quantum-mechanical treatment is developed, by using the Lie Group methods, for the properties of the detuned degenerate, vacuum, and excited squeezed-states photon number distribution. For a vacuum squeezed state, the detuning decreases the average photon number without changing the semichaotic distribution. In addition, an oscillatory behavior of the photon pair probability as a function of the detuning parameter appears below threshold. For an excited squeezed state, the photon number distribution, including its oscillatory characteristic at resonance, is strongly affected by the detuning. In addition to a continuous relaxation of the oscillations toward a Poissonian-like shape, there is also a very sensitive movement of the oscillations' peaks, depending on a detuning produced phase.
The phase properties in the system of the coupling two-level atoms interacting with squeezed coherent-state light-field is studied from the point of the Pegg-Barnett phase theory. The phase probability distribution and the phase fluctuation are investigated. Meanwhile, the influence of the field amplitude, the compressed parameter, and the coupling coefficient between atoms on the phase properties is also discussed. The results show that the phase probability distribution presents three-peak Gaussian configuration. The maximum of the phase probability distribution lies at the point of the zero phase arid the phase fluctuation is small, while at other place the value of the phase probability distribution is relatively small and vibrates easily. At the same time, because of the influence of light-field squeezing effect, the phase probability distribution is different from that of coherent-state field.
Phase properties of squeezed number states and squeezed thermal states are studied. Exact analytical formulae for phase distributions based on different phase approaches are derived and illustrated graphically. It is shown that the phase quasiprobability distribution P (W) ( theta ) associated with the Wigner function does not depend on the photon number of the initial number state and has the same form for both kinds of squeezed states under consideration while the Pegg-Barnett phase distribution and the phase quasiprobability distributions associated with the Q function and the Glauber-Sudarshan P function, approach P (W) ( theta ) in the limit of highly excited states.
The quantum phase properties of the generalized squeezed vacuum states associated with solvable quantum systems are studied by using the Pegg—Barnett formalism. Then, two nonclassical features, i.e., squeezing in the number and phase operators, as well as the number—phase Wigner function of the generalized squeezed states are investigated. Due to some actual physical situations, the present approach is applied to two classes of generalized squeezed states: solvable quantum systems with discrete spectra and nonlinear squeezed states with particular nonlinear functions. Finally, the time evolution of the nonclassical properties of the considered systems has been numerically investigated.
The properties of the phase evolution of two coupled atoms Raman interacting with squeezed vacuum field are studied using the Pegg-Barnett phase theory. The phase probability distribution and variance are calculated. The evolution of the phase probability distribution functions in some cases are given by curves in the polar coordinate system. The influence of Raman interaction between the coupled atoms with squeezed vacuum field, the dipole-dipole interaction between the atoms and the initial states of atoms on the phase properties are discussed.