Detection of avoided crossings by fidelity

Details Detection of avoided crossings by fidelity Detection of avoided crossings by fidelity

2009-09-23

arxiv.org/abs/0909.4333v3

Physica A: Statistical Mechanics and its Applications, Vol. 390 (7) (2011) 1363-1369

Physics

Quantum Physics

more comprehensive version including new theory and data analysis

Scientific paper

10.1016/j.physa.2010.12.017

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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