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11 November 2024
 
  » arxiv » quant-ph/9506025

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Holstein-Primakoff/Bogoliubov Transformations and the Multiboson System
Michael Martin Nieto ; D. Rodney Truax ;
Date 22 May 1996
Journal Fortsch.Phys. 45 (1997) 145
AbstractAs 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.
Source arXiv, quant-ph/9506025
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