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Linear canonical transformations of coherent and squeezed states in the Wigner phase space. III - Two-mode statesIt is shown that the basic symmetry of two-mode squeezed states is governed by the group SP(4) in the Wigner phase space which is locally isomorphic to the (3 + 2)-dimensional Lorentz group. This symmetry, in the Schroedinger picture, appears as Dirac's two-oscillator representation of O(3,2). It is shown that the SU(2) and SU(1,1) interferometers exhibit the symmetry of this higher-dimensional Lorentz group. The mathematics of two-mode squeezed states is shown to be applicable to other branches of physics including thermally excited states in statistical mechanics and relativistic extended hadrons in the quark model.
Document ID
19900050192
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Han, D.
(NASA Goddard Space Flight Center Greenbelt, MD, United States)
Kim, Y. S.
(Maryland, University College Park, United States)
Noz, Marilyn E.
(New York University NY, United States)
Date Acquired
August 14, 2013
Publication Date
June 1, 1990
Publication Information
Publication: Physical Review A - Atomic, Molecular, and Optical Physics, 3rd Series
Volume: 41
ISSN: 0556-2791
Subject Category
Physics (General)
Accession Number
90A37247
Distribution Limits
Public
Copyright
Other

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