dorsal/arxiv
View SchemaMonomode photon spin operators projected onto the fixed frame and quantum-vacuum geometric phases of photons inside a noncoplanar optical fibre
| Authors | Jian-Qi Shen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0304172 |
| URL | https://arxiv.org/abs/quant-ph/0304172 |
Abstract
The propagation of monomode photons inside a coiled optical fibre was regarded as a time-dependent quantum evolution process, which gives rise to a geometric phase. It is well known that the investigation of non-adiabatic geometric phases ought to be performed only in the Schr\"{o}dinger picture. So, the projections of photon spin operators onto the fixed frame of reference is discussed in this paper. In addition, we also treat the non-normal-order spin operators and consider the potential effects (e.g., quantum-vacuum geometric phases) of quantum fluctuation fields arising in a curved optical fibre. The quantum-vacuum geometric phase, which is of physical interest, can be deducted by using the operator normal product, and the doubt of validity and universality for the normal-normal procedure applied to time-dependent quantum systems is thus proposed. In the Appendix, the discussion of possible experimental realizations of quantum-vacuum geometric phases is briefly presented.
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"abstract": "The propagation of monomode photons inside a coiled optical fibre was\nregarded as a time-dependent quantum evolution process, which gives rise to a\ngeometric phase. It is well known that the investigation of non-adiabatic\ngeometric phases ought to be performed only in the Schr\\\"{o}dinger picture. So,\nthe projections of photon spin operators onto the fixed frame of reference is\ndiscussed in this paper. In addition, we also treat the non-normal-order spin\noperators and consider the potential effects (e.g., quantum-vacuum geometric\nphases) of quantum fluctuation fields arising in a curved optical fibre. The\nquantum-vacuum geometric phase, which is of physical interest, can be deducted\nby using the operator normal product, and the doubt of validity and\nuniversality for the normal-normal procedure applied to time-dependent quantum\nsystems is thus proposed. In the Appendix, the discussion of possible\nexperimental realizations of quantum-vacuum geometric phases is briefly\npresented.",
"arxiv_id": "quant-ph/0304172",
"authors": [
"Jian-Qi Shen"
],
"categories": [
"quant-ph"
],
"title": "Monomode photon spin operators projected onto the fixed frame and quantum-vacuum geometric phases of photons inside a noncoplanar optical fibre",
"url": "https://arxiv.org/abs/quant-ph/0304172"
},
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