RT Journal Article
T1 Long-range level correlations in quantum systems with finite Hilbert space dimension
A1 Corps, Angel L.
A1 Relaño Pérez, Armando
AB We study the spectral statistics of quantum systems with finite Hilbert spaces. We derive a theorem showing that eigenlevels in such systems cannot be globally uncorrelated, even in the case of fully integrable dynamics, as a consequence of the unfolding procedure. We provide an analytic expression for the power spectrum of the delta(n) statistic for a model of intermediate statistics with level repulsion but independent spacings, and we show both numerically and analytically that the result is spoiled by the unfolding procedure. Then, we provide a simple model to account for this phenomenon, and test it by means of numerics on the disordered XXZ chain, the paradigmatic model of many-body localization, and the rational Gaudin-Richardson model, a prototypical model for quantum integrability.
PB American Physical Society
SN 2470-0045
YR 2021
FD 2021-01-11
LK https://hdl.handle.net/20.500.14352/8271
UL https://hdl.handle.net/20.500.14352/8271
LA eng
NO ©2021 American Physical Society. The authors thank R. A. Molina for his careful reading and useful suggestions. This work has been financially supported by Ministerio de Economía, Industria y Competitividad/Fondo Europeo de Desarrollo Regional (MINECO/FEDER) Grant No. FIS2015-63770-P and Ministerio de Ciencia, Innovación y Universidades/Agencia Estatal de Investigación (MCIU/AEI/FEDER) Grant No. PGC2018094180-B-I00.
NO Ministerio de Economía y Competitividad (MINECO)/FEDER
NO Ministerio de Ciencia e Innovación (MICINN)/FEDER
DS Docta Complutense
RD 11 abr 2025