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

Properties of squeezed number states and squeezed thermal states

M. S. Kim, F. A. M. de Oliveira, P. L. Knight

Published Sep 1, 1989• 343 citations
Publisher

Abstract

Much attention has been given in the past to two classes of squeezed states: the squeezed vacuum and coherent states. Here we study the effects of squeezing on number states and on thermal field states. The statistical properties of these various squeezed states are discussed using the second-order correlation functions. The quasiprobabilities of the Wigner, Q, and positive P representations are calculated and compared for the squeezed states. The Glauber P representation for the squeezed thermal state explicitly shows the limit of its applicability. The photon number distributions of the squeezed number and squeezed thermal states are extensively discussed and new interference effects in phase space are shown to lead to highly structured number distributions.

DOI
10.1103/physreva.40.2494

Related papers

The Statistical Properties of a Generalized Two-mode Squeezed Operator

M. Sebawe Abdalla

In this paper we have employed the generalized two-mode squeeze operator to discuss the effect of squeezing on two-mode coherent states, number states and thermal states. By using the Glauber second-order correlation function we examined the statistical properties of these various squeezed states. The statistical investigations are carried out for the quasi-probability distribution functions (Wigner function and Q function). The P representation is also considered.

Journal of Modern Optics•May 1, 1992•15 citations

Phase distributions of squeezed number states and squeezed thermal states

Alexei Vladimirovich Chizhov, Ts. Gantsog, B. K. Murzakhmetov

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.

Quantum Optics Journal of the European Optical Society Part B•Apr 1, 1993•15 citations

Higher-order squeezing properties of two-mode squeezed states

Jiaxin Gong, P. K. Aravind

We have investigated the properties of two-mode squeezed states of various kinds: squeezed coherent states, squeezed number states, squeezed thermal states, and squeezed number-thermal states. The properties studied include characteristic functions, photon number distributions, and high-order moments. We show that a two-mode squeezed coherent state appears in either of its modes as a Glauber-Lachs superposition of a coherent signal with thermal noise; this generalizes the well-known thermofield result that a two-mode squeezed vacuum state behaves like a pure thermal state in either of its modes. We investigate the higher-order squeezing (in the sense of Hong and Mandel) of squeezed coherent-thermal and squeezed number-thermal states. Although the squeezing is found to increase with order in both cases, there are nevertheless interesting differences that can be traced to the fact that the Wigner function has a Gaussian form for the former but not for the latter.

Annual Meeting Optical Society of America•Jan 1, 1990•0 citations

Quantum statistical properties of superposition of squeezed and displaced states with thermal noise

Faisal A. A. El-Orany, Jan Peřina, M. Sebawe Abdalla

The effect of thermal noise is studied on the statistical behaviour of the superposition of squeezed and displaced number states. In our analysis we have employed the s-parametrized characteristic function. For such superposition states exact expressions for quasiprobability distribution functions, normalized second-order correlation function, photon-number distribution and phase space distribution are obtained and discussed in detail.

Journal of Modern Optics•Sep 1, 1999•11 citations

Squeezed states with thermal noise. I. Photon-number statistics

Paulina Marian, Tudor A. Marian

We investigate a free monochromatic electromagnetic field which is the superposition of a squeezed thermal radiation and a coherent one. The main tool in our analysis is the characteristic function that has a Gaussian form. We establish an analytic formula for an arbitrary correlation function, as well as its strong-squeezing limit. Besides the usual quasiprobability densities, the coherent-state, number-state, coordinate, and momentum representations of the density operator are derived. We point out the nonclassical oscillations of the photon-number distribution and find its generating function. Collaterally, displaced thermal states and squeezed thermal states are revisited as nontrivial particular cases. We examine finally the squeezing properties of the field using the distribution functions of the quadratures.

Physical Review A•May 1, 1993•165 citations

Statistical properties of the squeezing-enhanced thermal state

Shuai Wang, Hong-Yi Fan

We introduce a new (to our best knowledge) type of squeezing-enhanced thermal states (SETS) that is generated by operating a new two-parameter generalized squeezing operator on a thermal (chaotic) field. By using the operator’s Weyl-ordering invariance under the similarity transformation and the Weyl correspondence scheme, we derive the normally ordered form of the density operator of SETS. Based on it, we study the resulting squeezing effects of the SETS and investigate its statistical properties by the second-order correlation function, photon-number distribution, and the Wigner function. Compared with the usual squeezed thermal state, SETS exhibits stronger squeezing and some new statistical properties. We find that the effect of the new type of squeezing operator is rotated squeezing.

Journal of the Optical Society of America B•Dec 9, 2011•12 citations
Much attention has been given in the past to two classes of squeezed states: the squeezed vacuum and coherent states. Here we study the effects of squeezing on number states and on thermal field states. The statistical properties of these various squeezed states are discussed using the second-order correlation functions. The quasiprobabilities of the Wigner, Q, and positive P representations are calculated and compared for the squeezed states. The Glauber P representation for the squeezed thermal state explicitly shows the limit of its applicability. The photon number distributions of the squeezed number and squeezed thermal states are extensively discussed and new interference effects in phase space are shown to lead to highly structured number distributions.
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.
We have investigated the properties of two-mode squeezed states of various kinds: squeezed coherent states, squeezed number states, squeezed thermal states, and squeezed number-thermal states. The properties studied include characteristic functions, photon number distributions, and high-order moments. We show that a two-mode squeezed coherent state appears in either of its modes as a Glauber-Lachs superposition of a coherent signal with thermal noise; this generalizes the well-known thermofield result that a two-mode squeezed vacuum state behaves like a pure thermal state in either of its modes. We investigate the higher-order squeezing (in the sense of Hong and Mandel) of squeezed coherent-thermal and squeezed number-thermal states. Although the squeezing is found to increase with order in both cases, there are nevertheless interesting differences that can be traced to the fact that the Wigner function has a Gaussian form for the former but not for the latter.
We investigate a free monochromatic electromagnetic field which is the superposition of a squeezed thermal radiation and a coherent one. The main tool in our analysis is the characteristic function that has a Gaussian form. We establish an analytic formula for an arbitrary correlation function, as well as its strong-squeezing limit. Besides the usual quasiprobability densities, the coherent-state, number-state, coordinate, and momentum representations of the density operator are derived. We point out the nonclassical oscillations of the photon-number distribution and find its generating function. Collaterally, displaced thermal states and squeezed thermal states are revisited as nontrivial particular cases. We examine finally the squeezing properties of the field using the distribution functions of the quadratures.
We introduce a new (to our best knowledge) type of squeezing-enhanced thermal states (SETS) that is generated by operating a new two-parameter generalized squeezing operator on a thermal (chaotic) field. By using the operator’s Weyl-ordering invariance under the similarity transformation and the Weyl correspondence scheme, we derive the normally ordered form of the density operator of SETS. Based on it, we study the resulting squeezing effects of the SETS and investigate its statistical properties by the second-order correlation function, photon-number distribution, and the Wigner function. Compared with the usual squeezed thermal state, SETS exhibits stronger squeezing and some new statistical properties. We find that the effect of the new type of squeezing operator is rotated squeezing.