Observing dynamical localization on a trapped-ion qudit quantum processor

Fuente: arXiv
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Main Authors: Camacho, Gonzalo, Edmunds, Claire L., Meth, Michael, Ringbauer, Martin, Fauseweh, Benedikt
Format: Preprint
Published: 2024
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author Camacho, Gonzalo
Edmunds, Claire L.
Meth, Michael
Ringbauer, Martin
Fauseweh, Benedikt
author_facet Camacho, Gonzalo
Edmunds, Claire L.
Meth, Michael
Ringbauer, Martin
Fauseweh, Benedikt
contents The advancements of quantum processors offer a promising new window to study exotic states of matter. One striking example is the possibility of non-ergodic behaviour in systems with a large number of local degrees of freedom. Here we use a trapped-ion qudit quantum processor to study a disorder-free $S=1$ Floquet model, which becomes prethermal by dynamic localization due to local spin interactions. We theoretically describe and experimentally observe an emergent $3T$ subharmonic response, demonstrating the ability to witness non-ergodic dynamics beyond qubit systems. Our numerical simulations reveal the role played by multipartite entanglement through the Quantum Fisher Information, showing how this quantity successfully reflects the transition between ergodic and localized regimes in a non-equilibrium context. These results pave the way for the study of ergodicity-breaking mechanisms in higher-dimensional quantum systems.
format Preprint
id arxiv_https___arxiv_org_abs_2412_13141
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Observing dynamical localization on a trapped-ion qudit quantum processor
Camacho, Gonzalo
Edmunds, Claire L.
Meth, Michael
Ringbauer, Martin
Fauseweh, Benedikt
Quantum Physics
Strongly Correlated Electrons
The advancements of quantum processors offer a promising new window to study exotic states of matter. One striking example is the possibility of non-ergodic behaviour in systems with a large number of local degrees of freedom. Here we use a trapped-ion qudit quantum processor to study a disorder-free $S=1$ Floquet model, which becomes prethermal by dynamic localization due to local spin interactions. We theoretically describe and experimentally observe an emergent $3T$ subharmonic response, demonstrating the ability to witness non-ergodic dynamics beyond qubit systems. Our numerical simulations reveal the role played by multipartite entanglement through the Quantum Fisher Information, showing how this quantity successfully reflects the transition between ergodic and localized regimes in a non-equilibrium context. These results pave the way for the study of ergodicity-breaking mechanisms in higher-dimensional quantum systems.
title Observing dynamical localization on a trapped-ion qudit quantum processor
topic Quantum Physics
Strongly Correlated Electrons
url https://arxiv.org/abs/2412.13141