Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.12202/8215
Title: | Ground-state energy distribution of disordered many-body quantum systems |
Authors: | Buijsman, Wouter Lezama, Talía L. M. Leiser, Tamar Santos, Lea F. 0000-0001-9400-2709 |
Keywords: | Disordered Systems and Neural Networks (cond-mat.dis-nn) Statistical Mechanics (cond-mat.stat-mech) Quantum Physics (quant-ph) |
Issue Date: | 19-May-2022 |
Publisher: | arXiv preprints |
Citation: | Buijsman, 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, |
Series/Report no.: | arXiv preprint;arXiv:2205.09771v1 |
Abstract: | Extreme-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. |
Description: | arXiv preprint article |
URI: | https://arxiv.org/abs/2205.09771 https://hdl.handle.net/20.500.12202/8215 |
ISSN: | ISSN 2331-8422 |
Appears in Collections: | Stern College for Women -- Faculty Publications |
Files in This Item:
File | Description | Size | Format | |
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Santos Buijsman Lezama Leiser Ground-state energy May 20222205.09771.pdf | 546.55 kB | Adobe PDF | View/Open |
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