dorsal/arxiv
View SchemaHolstein-Primakoff/Bogoliubov Transformations and the Multiboson System
| Authors | Michael Martin Nieto, D. Rodney Truax |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9506025 |
| URL | https://arxiv.org/abs/quant-ph/9506025 |
| DOI | 10.1002/prop.2190450204 |
| Journal | Fortsch.Phys. 45 (1997) 145 |
Abstract
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.
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"abstract": "As an aid to understanding the {\\it displacement operator} definition of\nsqueezed states for arbitrary systems, we investigate the properties of systems\nwhere there is a Holstein-Primakoff or Bogoliubov transformation. In these\ncases the {\\it ladder-operator or minimum-uncertainty} definitions of squeezed\nstates are equivalent to an extent displacement-operator definition. We\nexemplify this in a setting where there are operators satisfying $[A,\nA^{\\dagger}] = 1$, but the $A$\u0027s are not necessarily the Fock space $a$\u0027s; the\nmultiboson system. It has been previously observed that the ground state of a\nsystem often can be shown to to be a coherent state. We demonstrate why this\nmust be so. We close with a discussion of an alternative, effective definition\nof displacement-operator squeezed states.",
"arxiv_id": "quant-ph/9506025",
"authors": [
"Michael Martin Nieto",
"D. Rodney Truax"
],
"categories": [
"quant-ph"
],
"doi": "10.1002/prop.2190450204",
"journal_ref": "Fortsch.Phys. 45 (1997) 145",
"title": "Holstein-Primakoff/Bogoliubov Transformations and the Multiboson System",
"url": "https://arxiv.org/abs/quant-ph/9506025"
},
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