dorsal/arxiv
View SchemaOptimal Topological Test for Degeneracies of Real Hamiltonians
| Authors | Niklas Johansson, Erik Sjöqvist |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0310018 |
| URL | https://arxiv.org/abs/quant-ph/0310018 |
| DOI | 10.1103/PhysRevLett.92.060406 |
| Journal | Phys. Rev. Lett. 92, 060406 (2004) |
Abstract
We consider adiabatic transport of eigenstates of real Hamiltonians around loops in parameter space. It is demonstrated that loops that map to nontrivial loops in the space of eigenbases must encircle degeneracies. Examples from Jahn-Teller theory are presented to illustrate the test. We show furthermore that the proposed test is optimal.
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"abstract": "We consider adiabatic transport of eigenstates of real Hamiltonians around\nloops in parameter space. It is demonstrated that loops that map to nontrivial\nloops in the space of eigenbases must encircle degeneracies. Examples from\nJahn-Teller theory are presented to illustrate the test. We show furthermore\nthat the proposed test is optimal.",
"arxiv_id": "quant-ph/0310018",
"authors": [
"Niklas Johansson",
"Erik Sj\u00f6qvist"
],
"categories": [
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"doi": "10.1103/PhysRevLett.92.060406",
"journal_ref": "Phys. Rev. Lett. 92, 060406 (2004)",
"title": "Optimal Topological Test for Degeneracies of Real Hamiltonians",
"url": "https://arxiv.org/abs/quant-ph/0310018"
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