Published February 1, 2005 | Version v1
Journal article Metadata-only

Non-linear squeezing of the vacuum and the one-photon states as realizations of the SU(1,1) group

Creators

  • 1. Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo (Egypt)
  • 2. Department of Physics, Faculty of Education, Suez Canal University at Al-Arish (Egypt)

Description

We introduce a class of non-linear squeezed vacuum and one-photon states. Under conditions on the non-linearity function, these states are realizations of the SU(1,1) group. However, when a condition is removed, these states are defined as eigenstates of certain operators. Some of the properties of these states are investigated for the case of trapped ions. In particular, the Mandel q number, the photon number distribution, the phase properties, the Husimi-Kano Q-function and the Wigner-Moyal W-function of the non-linear squeezed one-photon states are discussed

Availability note (English)

Available online at http://stacks.iop.org/1464-4266/7/57/job5_2_005.pdf or at the Web site for the Journal of Optics. B, Quantum and Semiclassical Optics (Print) (ISSN 1464-4266) http://www.iop.org/

Additional details

Identifiers

URL
http://stacks.iop.org/1464-4266/7/57/job5_2_005.pdf; http://www.iop.org/;
DOI
10.1088/1464-4266/7/2/005;
PII
S1464-4266(05)86211-1;

Publishing Information

Journal Title
Journal of Optics. B, Quantum and Semiclassical Optics (Print)
Journal Volume
7
Journal Issue
2
Journal Page Range
p. 57-65
ISSN
1464-4266

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
36029183
Subject category
S74: ATOMIC AND MOLECULAR PHYSICS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
DISTRIBUTION; EIGENSTATES; ENERGY LEVELS; IONS; NONLINEAR PROBLEMS; PHOTONS; QUANTUM MECHANICS; SU GROUPS; TRAPPING
Descriptors DEC
BOSONS; CHARGED PARTICLES; ELEMENTARY PARTICLES; LIE GROUPS; MASSLESS PARTICLES; MECHANICS; SYMMETRY GROUPS