dorsal/arxiv
View SchemaApplications of Canonical Transformations
| Authors | Subhashish Banerjee, Joachim Kupsch |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410209 |
| URL | https://arxiv.org/abs/quant-ph/0410209 |
| DOI | 10.1088/0305-4470/38/23/011 |
Abstract
Canonical transformations are defined and discussed along with the exponential, the coherent and the ultracoherent vectors. It is shown that the single-mode and the $n$-mode squeezing operators are elements of the group of canonical transformations. An application of canonical transformations is made, in the context of open quantum systems, by studying the effect of squeezing of the bath on the decoherence properties of the system. Two cases are analyzed. In the first case the bath consists of a massless bosonic field with the bath reference states being the squeezed vacuum states and squeezed thermal states while in the second case a system consisting of a harmonic oscillator interacting with a bath of harmonic oscillators is analyzed with the bath being initially in a squeezed thermal state.
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"abstract": "Canonical transformations are defined and discussed along with the\nexponential, the coherent and the ultracoherent vectors. It is shown that the\nsingle-mode and the $n$-mode squeezing operators are elements of the group of\ncanonical transformations. An application of canonical transformations is made,\nin the context of open quantum systems, by studying the effect of squeezing of\nthe bath on the decoherence properties of the system. Two cases are analyzed.\nIn the first case the bath consists of a massless bosonic field with the bath\nreference states being the squeezed vacuum states and squeezed thermal states\nwhile in the second case a system consisting of a harmonic oscillator\ninteracting with a bath of harmonic oscillators is analyzed with the bath being\ninitially in a squeezed thermal state.",
"arxiv_id": "quant-ph/0410209",
"authors": [
"Subhashish Banerjee",
"Joachim Kupsch"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/38/23/011",
"title": "Applications of Canonical Transformations",
"url": "https://arxiv.org/abs/quant-ph/0410209"
},
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