Bulletin of the American Physical Society
APS March Meeting 2023
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session D30: Strongly Correlated Systems, Including Quantum Fluids and Solids II
3:00 PM–5:48 PM,
Monday, March 6, 2023
Room: Room 222/223
Sponsoring
Unit:
DCMP
Chair: Eric Bauer, Los Alamos Natl Lab
Abstract: D30.00007 : Multifractality Meets Entanglement: Relation for Non-Ergodic Extended States*
4:12 PM–4:24 PM
Presenter:
Giuseppe De Tomasi
(UIUC)
Authors:
Giuseppe De Tomasi
(UIUC)
Ivan M Khaymovich
(Nordita)
Collaboration:
Giuseppe De Tomasi, Ivan M. Khaymovich
In this talk, I will discuss a link between ergodic properties extracted from entanglement entropy and the ones from the multi-fractal analysis [1]. I will show a generalization of the work of Don. N. Page [2] for the entanglement entropy, to the case of non-ergodic but extended (NEE), states. By implementing the NEE states with a new and simple class of random states, which live in a fractal of the Fock space, I will compute, analytically and numerically, its von Neumann/Renyi entropy. Remarkably, I will show that the entanglement entropies can still present a fully ergodic behavior, even though the wave function lives in a vanishing ratio of the full Hilbert space in the thermodynamic limit.
[1] Phys. Rev. Lett. 124, 200602 (2020)
[2] Phys. Rev. Lett. 71, 1291 (1993)
*EPiQS Program of the Gordon and Betty Moore Foundation.
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