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Acta Sinica Quantum Optica

Squeezing Properties of Measurement Phase Operatorin the Squeezed Thermal States

Yun‐Jie Xia

Published Jan 1, 2004• 0 citations
OpenAlex

Abstract

The squeezing properties in the squeezed thermal states are discussed via the measurement phase operators introduced by Barnett S M and Pegg D T. The results show that there is only a kind of CS squeezing. The squeezing properties are dependent on θ、 the average photon number and the field coefficients and the squeezing properties are weakened gradually along with increase of the average photon number and the field coefficients. It is found that there are not CN and SN squeezing.

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The squeezing properties in the squeezed thermal states are discussed via the measurement phase operators introduced by Barnett S M and Pegg D T. The results show that there is only a kind of CS squeezing. The squeezing properties are dependent on θ、 the average photon number and the field coefficients and the squeezing properties are weakened gradually along with increase of the average photon number and the field coefficients. It is found that there are not CN and SN squeezing.
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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 phase properties of the squeezed number states have been studied from the lower order to the higher order via the measured phase operators (MPO) introduced by Barnett and Pegg and compared with those obtained via the Hermitian and Susskind-Glogower phase operators. We have found many new, interesting results. For the lower order, the phase fluctuations of the MPO are exactly independent of the photon number n. For the higher order, the corresponding fluctuations are a decreasing function of n.