dorsal/arxiv
View SchemaOne-Parameter Squeezed Gaussian States of Time-Dependent Harmonic Oscillator and Selection Rule for Vacuum States
| Authors | Jung Kon Kim, Sang Pyo Kim |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9806096 |
| URL | https://arxiv.org/abs/quant-ph/9806096 |
| DOI | 10.1088/0305-4470/32/14/012 |
| Journal | J.Phys.A32:2711-2718,1999 |
Abstract
By using the invariant method we find one-parameter squeezed Gaussian states for both time-independent and time-dependent oscillators. The squeezing parameter is expressed in terms of energy expectation value for time-independent case and represents the degree of mixing positive and negative frequency solutions for time-dependent case. A {\it minimum uncertainty proposal} is advanced to select uniquely vacuum states at each moment of time. We show that the Gaussian states with minimum uncertainty coincide with the true vacuum state for time-independent oscillator and the Bunch-Davies vacuum for a massive scalar field in a de Sitter spacetime.
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"abstract": "By using the invariant method we find one-parameter squeezed Gaussian states\nfor both time-independent and time-dependent oscillators. The squeezing\nparameter is expressed in terms of energy expectation value for\ntime-independent case and represents the degree of mixing positive and negative\nfrequency solutions for time-dependent case. A {\\it minimum uncertainty\nproposal} is advanced to select uniquely vacuum states at each moment of time.\nWe show that the Gaussian states with minimum uncertainty coincide with the\ntrue vacuum state for time-independent oscillator and the Bunch-Davies vacuum\nfor a massive scalar field in a de Sitter spacetime.",
"arxiv_id": "quant-ph/9806096",
"authors": [
"Jung Kon Kim",
"Sang Pyo Kim"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/32/14/012",
"journal_ref": "J.Phys.A32:2711-2718,1999",
"title": "One-Parameter Squeezed Gaussian States of Time-Dependent Harmonic Oscillator and Selection Rule for Vacuum States",
"url": "https://arxiv.org/abs/quant-ph/9806096"
},
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