Data-adaptive unfolding of nonergodic spectra: Two-Body Random Ensemble

37th Symposium on Nuclear Physics

Fossion, R.^1,2 ; Vargas, G. Torres^3 ; Velázquez, V.^4 ; Vieyra, J.C. López^5

Instituto Nacional de Geriatría, Periférico Sur No. 2767, México D.F.

10200, Mexico^1

Centro de Ciencias de la Complejidad (C3), Universidad Nacional Autónoma de México, México, D.F.

04510, Mexico^2

Posgrado en Ciencias Físicas, Universidad Nacional Autónoma de México, México, D.F.

04510, Mexico^3

Facultad de Ciencias, Universidad Nacional Autónoma de México, México, D.F.

04510, Mexico^4

Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, México, D.F.

04510, Mexico^5

关键词: Ensemble-averaged;    Ergodicity property;    Local property;    Random matrix theory;    Random-matrix ensembles;    Spectral fluctuations;    Unfolding method;    Unfolding procedures;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/578/1/012013/pdf
DOI  :  10.1088/1742-6596/578/1/012013

来源: IOP

【 摘 要 】

The statistics of spectral fluctuations is sensitive to the unfolding procedure that separates global from local properties. Previously, we presented a parameter-free and data- adaptive unfolding method that we demonstrated to be highly effective for standard random- matrix ensembles from Random Matrix Theory (RMT). More general ensembles often break the ergodicity property, which leads to ambiguities between individual-spectrum averaged and ensemble-averaged fluctuation measures. Here, we apply our data-adaptive unfolding to a nonergodic Two-Body Random Ensemble (TBRE). In the present approach, both fluctuation measures can be calculated simultaneously within the same unfolding step, and possible arbitrarities introduced by traditional unfolding procedures are avoided.