Detection of avoided crossings by fidelity
classification
🪐 quant-ph
cond-mat.quant-gas
keywords
fidelityavoidedmodelanalyzingapplicationapplyingbose-hubbardcomplex
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The fidelity, defined as overlap of eigenstates of two slightly different Hamiltonians, is proposed as an efficient detector of avoided c rossings in the energy spectrum. This new application of fidelity is motivated for model systems, and its value for analyzing complex qua ntum spectra is underlined by applying it to a random matrix model and a tilted Bose-Hubbard system.
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