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

Springer eBooks

Universal Normal-Form Description of Squeezing in Two-Photon Processes

P. Galatola, Luigi A. Lugiato, Lorenzo M. Narducci

Published Jan 1, 1990• 0 citations
Publisher
DOI
10.1007/978-1-4613-0847-8_64

Related papers

Universal normal-form description of squeezing and instabilities in two-photon processes

Luigi A. Lugiato, P. Galatola, Lorenzo M. Narducci

Optics Communications•May 1, 1990•55 citations

Normal Amplitude Squeezing Effects and Poissonian Photon Statistics During Seven-Wave Mixing Process

Ashok Kumar, Jawahar Lal, Rammehar Singh

Journal of Advanced Physics•Jun 1, 2014•0 citations

Squeezing in two-photon absorption

R. Loudon

Optics Communications•Feb 1, 1984•74 citations

Amplitude squeezing from second-harmonic generation in a laser cavity

P Garcia-Fernandez, Luigi A. Lugiato, Francisco Javier Bermejo +1 more

The authors consider the problem of second harmonic generation in an optical cavity which contains both the laser and the nonlinear crystal. They calculate the spectrum of the amplitude fluctuations in the output field, for the mode which is generated by the laser. They focus on the case that the damping constant of this mode is much larger than all the other relaxation rates of the system, and show that in this limit the spectrum is correctly described by the universal normal form for two-photon processes. Finally, they show in general that in the framework of linearised theories the spectrum of the intensity fluctuations in the output field reduces exactly to the spectrum of squeezing of the amplitude quadrature component.

Quantum Optics Journal of the European Optical Society Part B•Feb 1, 1990•21 citations

Two-photon interaction of a squeezed light field with an atom

Dan Yao, Guang‐Can Guo

Chinese Journal of Lasers•Nov 1, 1988•0 citations

Coherent state representation of squeezing operator and its applications

Xiaojian Qiu, Jiali Huang, Zheng Fu +1 more

In a previous paper Zhan et al. (2022) proposed the coherent state representation for linear operator, which shows a beautiful theoretical value. Inspired by the work, we further extend it to the nonlinear case, including single- and two-mode squeezing process. Based on squeezing operators’ transformation relation, we introduce their coherent state representations and derive their normal ordering forms by using the technique of integration within product of operator. As applications, we examine some operators’s normal ordering forms and show the entanglement property of prepared quantum states via the Schmidt decomposition. In particular, we further consider two cascaded two-mode squeezing operators, in which a generalized SU(1,1) interferometer is involved. In addition, the application of two-mode squeezing operator followed by photon-subtraction to generate non-Gaussian entangled states in quantum teleportation is discussed. Our results will be useful in preparation of quantum states and quantum metrology.

Results in Physics•Nov 13, 2022•5 citations
The authors consider the problem of second harmonic generation in an optical cavity which contains both the laser and the nonlinear crystal. They calculate the spectrum of the amplitude fluctuations in the output field, for the mode which is generated by the laser. They focus on the case that the damping constant of this mode is much larger than all the other relaxation rates of the system, and show that in this limit the spectrum is correctly described by the universal normal form for two-photon processes. Finally, they show in general that in the framework of linearised theories the spectrum of the intensity fluctuations in the output field reduces exactly to the spectrum of squeezing of the amplitude quadrature component.
In a previous paper Zhan et al. (2022) proposed the coherent state representation for linear operator, which shows a beautiful theoretical value. Inspired by the work, we further extend it to the nonlinear case, including single- and two-mode squeezing process. Based on squeezing operators’ transformation relation, we introduce their coherent state representations and derive their normal ordering forms by using the technique of integration within product of operator. As applications, we examine some operators’s normal ordering forms and show the entanglement property of prepared quantum states via the Schmidt decomposition. In particular, we further consider two cascaded two-mode squeezing operators, in which a generalized SU(1,1) interferometer is involved. In addition, the application of two-mode squeezing operator followed by photon-subtraction to generate non-Gaussian entangled states in quantum teleportation is discussed. Our results will be useful in preparation of quantum states and quantum metrology.