dorsal/arxiv
View SchemaPhase transitions in open quantum systems
| Authors | C. Jung, M. Mueller, I. Rotter |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9804020 |
| URL | https://arxiv.org/abs/quant-ph/9804020 |
| DOI | 10.1103/PhysRevE.60.114 |
| Journal | Phys.Rev. E60 (1999) 114-131 |
Abstract
We consider the behaviour of open quantum systems in dependence on the coupling to one decay channel by introducing the coupling parameter $\alpha$ being proportional to the average degree of overlapping. Under critical conditions, a reorganization of the spectrum takes place which creates a bifurcation of the time scales with respect to the lifetimes of the resonance states. We derive analytically the conditions under which the reorganization process can be understood as a second-order phase transition and illustrate our results by numerical investigations. The conditions are fulfilled e.g. for a picket fence with equal coupling of the states to the continuum. Energy dependencies within the system are included. We consider also the generic case of an unfolded Gaussian Orthogonal Ensemble. In all these cases, the reorganization of the spectrum occurs at the critical value $\alpha_{crit}$ of the control parameter globally over the whole energy range of the spectrum. All states act cooperatively.
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"abstract": "We consider the behaviour of open quantum systems in dependence on the\ncoupling to one decay channel by introducing the coupling parameter $\\alpha$\nbeing proportional to the average degree of overlapping. Under critical\nconditions, a reorganization of the spectrum takes place which creates a\nbifurcation of the time scales with respect to the lifetimes of the resonance\nstates. We derive analytically the conditions under which the reorganization\nprocess can be understood as a second-order phase transition and illustrate our\nresults by numerical investigations. The conditions are fulfilled e.g. for a\npicket fence with equal coupling of the states to the continuum. Energy\ndependencies within the system are included. We consider also the generic case\nof an unfolded Gaussian Orthogonal Ensemble. In all these cases, the\nreorganization of the spectrum occurs at the critical value $\\alpha_{crit}$ of\nthe control parameter globally over the whole energy range of the spectrum. All\nstates act cooperatively.",
"arxiv_id": "quant-ph/9804020",
"authors": [
"C. Jung",
"M. Mueller",
"I. Rotter"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevE.60.114",
"journal_ref": "Phys.Rev. E60 (1999) 114-131",
"title": "Phase transitions in open quantum systems",
"url": "https://arxiv.org/abs/quant-ph/9804020"
},
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