Optimal Topological Test for Degeneracies of Real Hamiltonians

Details Optimal Topological Test for Degeneracies of Real Hamiltonians Optimal Topological Test for Degeneracies of Real Hamiltonians

2003-10-03

arxiv.org/abs/quant-ph/0310018v2

Phys. Rev. Lett. 92, 060406 (2004)

Physics

Quantum Physics

Minor corrections, accepted in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.92.060406

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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