dorsal/arxiv
View SchemaComplex magnetic monopoles and geometric phases around diabolic and exceptional points
| Authors | A. I. Nesterov, F. Aceves de la Cruz |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611280 |
| URL | https://arxiv.org/abs/quant-ph/0611280 |
Abstract
We study the geometric phase (GP)in presence of diabolic (DP) and exceptional (EP) points. While the GP associated with the DP is the flux of the Dirac monopole, the GP related to the EP, being complex one, is described by the flux of complex magnetic monopole. For open systems, in week-coupling limit, the leading environment-induced contribution to the real part of complex GP is given by a quadrupole term, and to its imaginary part by a dipolelike field. We find that the GP has a finite gap at the DP and infinite one at the EP.
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"abstract": "We study the geometric phase (GP)in presence of diabolic (DP) and exceptional\n(EP) points. While the GP associated with the DP is the flux of the Dirac\nmonopole, the GP related to the EP, being complex one, is described by the flux\nof complex magnetic monopole. For open systems, in week-coupling limit, the\nleading environment-induced contribution to the real part of complex GP is\ngiven by a quadrupole term, and to its imaginary part by a dipolelike field. We\nfind that the GP has a finite gap at the DP and infinite one at the EP.",
"arxiv_id": "quant-ph/0611280",
"authors": [
"A. I. Nesterov",
"F. Aceves de la Cruz"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP"
],
"title": "Complex magnetic monopoles and geometric phases around diabolic and exceptional points",
"url": "https://arxiv.org/abs/quant-ph/0611280"
},
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