The fidelity, defined as overlap of eigenstates of two slightly different Hamiltonians, is proposed as an efficient detector of avoided crossings in the energy spectrum. This new application of fidelity is motivated for model systems, and its value for analyzing complex quantum spectra is underlined by applying it to a random matrix model and a tilted BoseHubbard system.
Detection of avoided crossings by fidelity / Plötz, P.; Lubasch, M.; Wimberger, Sandro Marcel. - In: PHYSICA. A. - ISSN 0378-4371. - 390:7(2011), pp. 1363-1369. [10.1016/j.physa.2010.12.017]
Detection of avoided crossings by fidelity
WIMBERGER, Sandro Marcel
2011-01-01
Abstract
The fidelity, defined as overlap of eigenstates of two slightly different Hamiltonians, is proposed as an efficient detector of avoided crossings in the energy spectrum. This new application of fidelity is motivated for model systems, and its value for analyzing complex quantum spectra is underlined by applying it to a random matrix model and a tilted BoseHubbard system.File in questo prodotto:
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