Linear Canonical Transformations of Coherent and Squeezed States in the Wigner Phase Space. 3. Two Mode States
Dec, 198935 pages
Published in:
- Phys.Rev.A 41 (1990) 6233-6244
Report number:
- MdDP-PP-90-100
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Abstract: (APS)
It 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 Schrödinger 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.- 42.50.Wm
- 02.20.+b
- 03.65.Sq
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