Spectral statistics of the uni-modular ensemble

Joyner, Christopher H.; Smilansky, Uzy; Weidenmüller, Hans A.

doi:10.1088/1751-8121/aa836a

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Spectral statistics of the uni-modular ensemble

MPS-Authors

/persons/resource/persons31164

Weidenmüller, Hans A.
Prof. Hans A. Weidenmüller, Emeriti, MPI for Nuclear Physics, Max Planck Society;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

There are no public fulltexts stored in PuRe

Supplementary Material (public)

There is no public supplementary material available

Citation

Joyner, C. H., Smilansky, U., & Weidenmüller, H. A. (2017). Spectral statistics of the uni-modular ensemble. Journal of Physics A, 50(38): 385101. doi:10.1088/1751-8121/aa836a.

Cite as: https://hdl.handle.net/21.11116/0000-0000-FA5E-E

Abstract

We investigate the spectral statistics of Hermitian matrices in which the elements are chosen uniformly from U(1), called the uni-modular ensemble (UME), in the limit of large matrix size. Using three complimentary methods; a supersymmetric integration method, a combinatorial graph-theoretical analysis and a Brownian motion approach, we are able to derive expressions for 1/N corrections to the mean spectral moments and also analyse the fluctuations about this mean. By addressing the same ensemble from three different point of view, we can critically compare their relative advantages and derive some new results.