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dc.contributor.authorBuijsman, Wouter
dc.contributor.authorLezama, Talía L. M.
dc.contributor.authorLeiser, Tamar
dc.contributor.authorSantos, Lea F.
dc.identifier.citationBuijsman, Wouter and Lezama, Talía L. M. and Leiser, Tamar and Santos, Lea F. (2022, May 19). Ground-state energy distribution of disordered many-body quantum systems,en_US
dc.identifier.issnISSN 2331-8422
dc.descriptionarXiv preprint articleen_US
dc.description.abstractExtreme-value distributions are studied in the context of a broad range of problems, from the equilibrium properties of low-temperature disordered systems to the occurrence of natural disasters. Our focus here is on the ground-state energy distribution of disordered many-body quantum systems. We derive an analytical expression that, upon tuning a parameter, reproduces with high accuracy the ground-state energy distribution of all the systems that we consider. For several models with short- and long-range random couplings, the ground-state distribution agrees remarkably well with the Tracy-Widom distribution obtained from random matrices. They include transverse Ising models, the Sachdev-Ye model and variants, and a randomized version of the PXP model. In contrast, shapes at odds with the Tracy-Widom distribution are observed for disordered Bose-Hubbard models and the disordered spin-1/2 Heisenberg chain used to investigate many-body localization.en_US
dc.publisherarXiv preprintsen_US
dc.relation.ispartofseriesarXiv preprint;arXiv:2205.09771v1
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.subjectDisordered Systems and Neural Networks (cond-mat.dis-nn)en_US
dc.subjectStatistical Mechanics (cond-mat.stat-mech)en_US
dc.subjectQuantum Physics (quant-ph)en_US
dc.titleGround-state energy distribution of disordered many-body quantum systemsen_US

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