RT Journal Article
T1 Missing levels in intermediate spectra
A1 Hita-Perez, Maria
A1 Muñoz Muñoz, Laura
A1 Molina, Rafael A.
AB We derive an expression for the nearest-neighbor spacing distribution P(s) of the energy levels of quantum systems with intermediate dynamics between regularity and chaos and missing levels due to random experimental errors. The expression is based on the Brody distribution, the most widely used for fitting mixed spectra as a function of one parameter. By using Monte Carlo simulations of intermediate spectra based on the beta-Hermite ensemble of random matrix theory (RMT), we evaluate the quality of the formula and its suitability for fitting purposes. Estimations of the Brody parameter and the fraction of missing levels can be obtained by a least-square two-parameter fitting of the experimental P(s). The results should be important to distinguish the origins of deviations from RMT in experimental spectra.
PB IOP Publishing Ltd
SN 1751-8113
YR 2023
FD 2023-11-28
LK https://hdl.handle.net/20.500.14352/112479
UL https://hdl.handle.net/20.500.14352/112479
LA eng
NO María Hita-Pérez et al 2023 J. Phys. A: Math. Theor. 56 505702
NO CSIC Research Platform on Quantum Technologies PTI-001
NO Consejo Superior de Investigaciones Cientificas (España)
NO European Commission
NO Ministerio de Ciencia e Innovación (España)
NO Agencia Estatal deInvestigación (España)
DS Docta Complutense
RD 25 dic 2025