Optimal Topological Test for Degeneracies of Real Hamiltonians

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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.
Minor corrections, accepted in Phys. Rev. Lett

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Quantum Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/91481

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/quant-ph/0310018
 http://arxiv.org/abs/quant-ph/0310018
 Phys. Rev. Lett. 92, 060406 (2004)
 doi:10.1103/PhysRevLett.92.060406

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