Physics – Quantum Physics
Scientific paper
1995-06-15
Fortsch.Phys. 45 (1997) 145
Physics
Quantum Physics
Two sections added and new title. LaTeX, 18 pages. Accepted by Forschritte der Physik
Scientific paper
As an aid to understanding the {\it displacement operator} definition of squeezed states for arbitrary systems, we investigate the properties of systems where there is a Holstein-Primakoff or Bogoliubov transformation. In these cases the {\it ladder-operator or minimum-uncertainty} definitions of squeezed states are equivalent to an extent displacement-operator definition. We exemplify this in a setting where there are operators satisfying $[A, A^{\dagger}] = 1$, but the $A$'s are not necessarily the Fock space $a$'s; the multiboson system. It has been previously observed that the ground state of a system often can be shown to to be a coherent state. We demonstrate why this must be so. We close with a discussion of an alternative, effective definition of displacement-operator squeezed states.
Nieto Michael Martin
Truax Rodney D.
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