dorsal/arxiv
View SchemaExponential and Laguerre Squeezed States for su(1,1) Algebra and Calogero-Sutherland Model
| Authors | Hong-Chen Fu, Ryu Sasaki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9604004 |
| URL | https://arxiv.org/abs/quant-ph/9604004 |
| DOI | 10.1103/PhysRevA.53.3836 |
Abstract
A class of squeezed states for the su(1,1) algebra is found and expressed by the exponential and Laguerre-polynomial operators acting on the vacuum states. As a special case it is proved that the Perelomov's coherent state is a ladder-operator squeezed state and therefore a minimum uncertainty state. The theory is applied to the two-particle Calogero-Sutherland model. We find some new squeezed states and compared them with the classical trajectories. The connection with some su(1,1) quantum optical systems (amplitude-squared realization, Holstein-Primakoff realization, the two mode realization and a four mode realization) is also discussed.
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"abstract": "A class of squeezed states for the su(1,1) algebra is found and expressed by\nthe exponential and Laguerre-polynomial operators acting on the vacuum states.\nAs a special case it is proved that the Perelomov\u0027s coherent state is a\nladder-operator squeezed state and therefore a minimum uncertainty state. The\ntheory is applied to the two-particle Calogero-Sutherland model. We find some\nnew squeezed states and compared them with the classical trajectories. The\nconnection with some su(1,1) quantum optical systems (amplitude-squared\nrealization, Holstein-Primakoff realization, the two mode realization and a\nfour mode realization) is also discussed.",
"arxiv_id": "quant-ph/9604004",
"authors": [
"Hong-Chen Fu",
"Ryu Sasaki"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.53.3836",
"title": "Exponential and Laguerre Squeezed States for su(1,1) Algebra and Calogero-Sutherland Model",
"url": "https://arxiv.org/abs/quant-ph/9604004"
},
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