Published December 1993 | Version v1
Journal article Metadata-only

Symmetries of two-mode squeezed states

Creators

  • 1. National Aeronautics and Space Administration, Goddard Space Flight Center, Code 902, Greenbelt, Maryland 20771 (United States)
  • 2. Department of Physics, University of Maryland, College Park, Maryland 20742 (United States)
  • 3. Department of Radiology, New York University, New York, New York 10016 (United States)
  • 4. Department of Physics, University of California, and Lawrence Berkeley Laboratory, Berkeley, California 94720 (United States)

Description

It is known that the symmetry of two-mode squeezed states is governed by the group Sp(4) which is locally isomorphic to the O(3,2) de Sitter group. It is shown that this complicated ten-parameter group can be regarded as a product of two three-parameter Sp(2) groups. It is shown also that two coupled harmonic oscillators serve as a physical basis for the symmetry decomposition. It is shown further that the concept of entropy is needed when one of the two modes is not observed. The entropy is zero when the system is uncoupled. The system reaches thermal equilibrium when the entropy becomes maximal

Additional details

Publishing Information

Journal Title
Journal of Mathematical Physics (New York)
Journal Volume
34
Journal Issue
12
Journal Page Range
p. 5493-5508.
ISSN
0022-2488
CODEN
JMAPAQ

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
25019692
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
ENTROPY; HARMONIC OSCILLATORS; LORENTZ GROUPS; O GROUPS; SP GROUPS; SYMMETRY GROUPS; THERMAL EQUILIBRIUM; WIGNER DISTRIBUTION
Descriptors DEC
DYNAMICAL GROUPS; EQUILIBRIUM; LIE GROUPS; PHYSICAL PROPERTIES; POINCARE GROUPS; THERMODYNAMIC PROPERTIES