dorsal/arxiv
View SchemaSpectral properties of the squeeze operator
| Authors | Dariusz Chruscinski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0403106 |
| URL | https://arxiv.org/abs/quant-ph/0403106 |
| DOI | 10.1016/j.physleta.2004.05.046 |
| Journal | Phys. Lett. A 327 (2004) 290-295 |
Abstract
We show that a single-mode squeeze operator S(z) being an unitary operator with a purely continuous spectrum gives rise to a family of discrete real generalized eigenvalues. These eigenvalues are closely related to the spectral properties of S(z) and the corresponding generalized eigenvectors may be interpreted as resonant states well known in the scattering theory. It turns out that these states entirely characterize the action of S(z). This result is then generalized to N-mode squeezing.
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"abstract": "We show that a single-mode squeeze operator S(z) being an unitary operator\nwith a purely continuous spectrum gives rise to a family of discrete real\ngeneralized eigenvalues. These eigenvalues are closely related to the spectral\nproperties of S(z) and the corresponding generalized eigenvectors may be\ninterpreted as resonant states well known in the scattering theory. It turns\nout that these states entirely characterize the action of S(z). This result is\nthen generalized to N-mode squeezing.",
"arxiv_id": "quant-ph/0403106",
"authors": [
"Dariusz Chruscinski"
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"doi": "10.1016/j.physleta.2004.05.046",
"journal_ref": "Phys. Lett. A 327 (2004) 290-295",
"title": "Spectral properties of the squeeze operator",
"url": "https://arxiv.org/abs/quant-ph/0403106"
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