Dresden 2026 – wissenschaftliches Programm
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QI: Fachverband Quanteninformation
QI 4: Quantum Manybody Systems (joint session QI/TT)
QI 4.7: Vortrag
Montag, 9. März 2026, 17:15–17:30, BEY/0245
Many-body localization in the Sherrington-Kirkpatrick model — •Gergo Dénes1, Balázs Hetényi1, Márton Kormos1, Angelo Valli1, Pascu Moca1,2, and Gergely Zaránd1 — 1Department of Theoretical Physics, Institute of Physics, Budapest University of Technology and Economics, Muegyetem rkp. 3., H-1111 Budapest, Hungary — 2Department of Physics, University of Oradea, Str. Universitatii nr. 1 Oradea, 410087, Romania
The Sherrington-Kirkpatrick (SK) model has been extensively studied for more than 50 years [1]. In the context of optimization problems, it represents one of the most difficult paradigmatic optimization problems, the MAXCUT problem. Its quantum extension, the transverse field SK model (TFSK model) is therefore a paradigmatic model for the Quantum Adiabatic Optimization Approach (QAOA).
We performed extensive finite-size numerical simulations of the TFSK model at different transverse field strengths to extract various many-body localization (MBL) indicators, such as inverse participation ratio, Shannon entropy, and level spacing ratio. Our numerical and analytical analysis suggest the presence of an MBL transition as a function of the transverse field at certain energy densities, different from the spin-glass transition, and in contrast to the findings of Ref. [2]. In the MBL phase, states do not seem to be exponentially localized, rather, our data suggest the presence of power-law MBL.
[1] M. Mezard, G. Parisi, M. A. Virasoro Spin Glass Theory and Beyond, ISBN: 978-9971-5-0116-7 (1986).
[2] S. Mukherjee, S. Nag, A. Garg, Phys. Rev. B 97, 144202 (2018).
Keywords: Many-body localization; Sherrington-Kirkpatrick; Transverse field; SK model; MBL phase