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

Smooth loops, generalized coherent states and geometric phases

Alexander I. Nesterov, Lev V. Sabinin

Published Jan 1, 1997• 6 citations
OpenAlex

Abstract

A description of generalized coherent states and geometric phases in the light of the general theory of smooth loops is given.

Related papers

Smooth loops, generalized coherent states, and geometric phases

Alexander I. Nesterov, Lev V. Sabinin

arXiv:hep-th/0010174•International Journal of Theoretical Physics•Sep 1, 1997•6 citations

Geometric phases of polarization generalized coherent states

V. P. Karasev, Vladimir Leonardovich Derbov, O. M. Priyutov

OptSp•Jul 1, 1997•0 citations

Polarization Structure of Quantum Light Fields: A New Insight. 2: Generalized Coherent States, Squeezing and Geometric Phases

V. P. Karassiov

Within the new description of the polarization structure of quantum light (given in Part I) some types of generalized coherent states related to the polarization SU(2) group are examined. With their help we give a quasiclassical description of polarization properties of light fields and discuss the concept of squeezing and uncertainty relations for multimode light in the polarization quantum optics. As a consequence, a new classification of polarization states of quantum light is obtained. We also derive geometric phases acquired by different quantum light beams transmitted through "polarization rotators".

arXiv:quant-ph/9503011•Mar 13, 1995•0 citations

A note on non-integrable phases and coherent states

Yves Brihaye, S. Giler, Piotr Kosiński +1 more

The relationship between non-integrable phases and generalised coherent states is discussed.

Journal of Physics A Mathematical and General•Jun 7, 1990•12 citations

Polarization coherent states in quantum optics: quasi-probability functions and geometric phases

V. P. Karassiov, Vladimir Leonardovich Derbov, Sergue Il'ich Vinitsky

Polarization coherent states (PCS) are considered as generalized coherent states of SU(2)p group of the polarization invariance of the light fields. In terms of PCS the polarization quasi probability functions are defined, which determine the quasi classical description of the statistical polarization properties of quantum light fields. The geometric phases of PCS are introduced in a way analogous to that used in the classical polarization optics.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•May 3, 1994•2 citations

Phase properties of coherent phase and generalized geometric states

O. M. YASSIN and STEPHEN A.-S. F. OBADA

Journal of Modern Optics•Jan 1, 1997•2 citations
Within the new description of the polarization structure of quantum light (given in Part I) some types of generalized coherent states related to the polarization SU(2) group are examined. With their help we give a quasiclassical description of polarization properties of light fields and discuss the concept of squeezing and uncertainty relations for multimode light in the polarization quantum optics. As a consequence, a new classification of polarization states of quantum light is obtained. We also derive geometric phases acquired by different quantum light beams transmitted through "polarization rotators".