dorsal/arxiv
View SchemaCollectivity, Phase Transitions and Exceptional Points in Open Quantum Systems
| Authors | W. D. Heiss, M. Mueller, I. Rotter |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9805038 |
| URL | https://arxiv.org/abs/quant-ph/9805038 |
| DOI | 10.1103/PhysRevE.58.2894 |
| Journal | Phys.Rev. E58 (1998) 2894-2901 |
Abstract
Phase transitions in open quantum systems, which are associated with the formation of collective states of a large width and of trapped states with rather small widths, are related to exceptional points of the Hamiltonian. Exceptional points are the singularities of the spectrum and eigenfunctions, when they are considered as functions of a coupling parameter. In the present paper this parameter is the coupling strength to the continuum. It is shown that the positions of the exceptional points (their accumulation point in the thermodynamical limit) depend on the particular type and energy dependence of the coupling to the continuum in the same way as the transition point of the corresponding phase transition.
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"abstract": "Phase transitions in open quantum systems, which are associated with the\nformation of collective states of a large width and of trapped states with\nrather small widths, are related to exceptional points of the Hamiltonian.\nExceptional points are the singularities of the spectrum and eigenfunctions,\nwhen they are considered as functions of a coupling parameter. In the present\npaper this parameter is the coupling strength to the continuum. It is shown\nthat the positions of the exceptional points (their accumulation point in the\nthermodynamical limit) depend on the particular type and energy dependence of\nthe coupling to the continuum in the same way as the transition point of the\ncorresponding phase transition.",
"arxiv_id": "quant-ph/9805038",
"authors": [
"W. D. Heiss",
"M. Mueller",
"I. Rotter"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevE.58.2894",
"journal_ref": "Phys.Rev. E58 (1998) 2894-2901",
"title": "Collectivity, Phase Transitions and Exceptional Points in Open Quantum Systems",
"url": "https://arxiv.org/abs/quant-ph/9805038"
},
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