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 W33: Quantum Thermalization
3:00 PM–6:00 PM,
Thursday, March 9, 2023
Room: Room 225
Sponsoring
Unit:
DCMP
Chair: Michael Gullans, Joint Center for Quantum Information and Computer Science
Abstract: W33.00001 : The statistical properties of eigenstates in chaotic many-body quantum systems
3:00 PM–3:12 PM
Presenter:
Dominik Hahn
(Max Planck Institute for the Physics of Complex Systems)
Authors:
Dominik Hahn
(Max Planck Institute for the Physics of Complex Systems)
David Luitz
(Universit ¨at Bonn,)
John T Chalker
(Oxford University)
operator in chaotic quantum many-body systems. Our focus is on correlations between eigenstates
that are specific to spatially extended systems and that lie outside the standard framework estab-
lished by the eigenstate thermalisation hypothesis (ETH). We propose a maximum-entropy Ansatz
for the joint distribution of n eigenvectors. In the case n = 2 this Ansatz reproduces ETH. For
n = 4 it captures both the growth in time of entanglement between subsystems, as characterised
by the purity of the time-evolution operator, and also operator spreading, as characterised by the
behaviour of the out-of-time-order correlator. We test these ideas by comparing results from Monte
Carlo sampling of our Ansatz with exact diagonalisation studies of Floquet quantum circuits.
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