dorsal/arxiv
View SchemaOne-Parameter Gaussian State of Anharmonic Oscillator: Nonlinear Realization of Bogoliubov Transformation
| Authors | Jung Kon Kim, Sang Pyo Kim, Kwang-Gi Park |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9902047 |
| URL | https://arxiv.org/abs/quant-ph/9902047 |
| Journal | J.Korean Phys.Soc. 34 (1999) 473-476 |
Abstract
We find a one-parameter Gaussian state for an anharmonic oscillator with quadratic and quartic terms, which depends on the energy expectation value. For the weak coupling constant, the Gaussian state is a squeezed state of the vacuum state. However, for the strong coupling constant, the Gaussian state represents a different kind of condensation of bosonic particles through a nonlinear Bogoliubov transformation of the vacuum state.
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"abstract": "We find a one-parameter Gaussian state for an anharmonic oscillator with\nquadratic and quartic terms, which depends on the energy expectation value. For\nthe weak coupling constant, the Gaussian state is a squeezed state of the\nvacuum state. However, for the strong coupling constant, the Gaussian state\nrepresents a different kind of condensation of bosonic particles through a\nnonlinear Bogoliubov transformation of the vacuum state.",
"arxiv_id": "quant-ph/9902047",
"authors": [
"Jung Kon Kim",
"Sang Pyo Kim",
"Kwang-Gi Park"
],
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"quant-ph"
],
"journal_ref": "J.Korean Phys.Soc. 34 (1999) 473-476",
"title": "One-Parameter Gaussian State of Anharmonic Oscillator: Nonlinear Realization of Bogoliubov Transformation",
"url": "https://arxiv.org/abs/quant-ph/9902047"
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