Volume 56, Number 3, November 2001
|Page(s)||340 - 346|
|Published online||01 December 2003|
Non-ergodic behaviour of the k-body embedded Gaussian random ensembles for bosons
Max-Planck-Institut für Kernphysik - D-69029
Accepted: 17 August 2001
We investigate the shape of the spectrum and the spectral fluctuations of the k-body embedded Gaussian ensemble for bosons in the dense limit, where the number of bosons while both k, the rank of the interaction, and l, the number of single-particle states, are kept fixed. We show that the relative fluctuations of the low spectral moments do not vanish in this limit, proving that the ensemble is non-ergodic. Numerical simulations yield spectra which display a strong tendency towards picket-fence-type. The wave functions also deviate from canonical random-matrix behaviour.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.30.Jp – Boson systems / 21.10.-k – Properties of nuclei; nuclear energy levels
© EDP Sciences, 2001
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.