Stability of quasicrystalline ultracold fermions to dipolar interactions

Quasiperiodic potentials can be used to interpolate between localization and delocalization in one dimension. With the rise of optical platforms engineering dipolar interactions, a key question is the stability of quasicrystalline phases under these long-range interactions. In this work, we study re...

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Main Author: Paolo Molignini
Format: Article
Language:English
Published: American Physical Society 2025-08-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/szdc-61nl
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author Paolo Molignini
author_facet Paolo Molignini
author_sort Paolo Molignini
collection DOAJ
description Quasiperiodic potentials can be used to interpolate between localization and delocalization in one dimension. With the rise of optical platforms engineering dipolar interactions, a key question is the stability of quasicrystalline phases under these long-range interactions. In this work, we study repulsive ultracold dipolar fermions in a quasiperiodic optical lattice to characterize the behavior of interacting quasicrystals. We simulate the full time evolution of the typical experimental protocols used to probe quasicrystalline order and localization properties. We extract experimentally measurable dynamical observables and correlation functions to characterize the three phases observed in the noninteracting setting: localized, intermediate, and extended. We then study the stability of such phases to repulsive dipolar interactions. We find that dipolar interactions can completely alter the shape of the phase diagram by stabilizing the intermediate phase, mostly at the expense of the extended phase. Moreover, in the strongly interacting regime, a resonance-like behavior characterized by density oscillations appears. Remarkably, strong dipolar repulsions can also localize particles even in the absence of quasiperiodicity if the primary lattice is sufficiently deep. Our work shows that dipolar interactions in a quasiperiodic potential can give rise to a complex, tunable coexistence of localized and extended quantum states.
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spelling doaj-art-d8bb0be64b4944e6a767d1e6f34741a02025-08-20T03:39:28ZengAmerican Physical SocietyPhysical Review Research2643-15642025-08-0173L03202610.1103/szdc-61nlStability of quasicrystalline ultracold fermions to dipolar interactionsPaolo MoligniniQuasiperiodic potentials can be used to interpolate between localization and delocalization in one dimension. With the rise of optical platforms engineering dipolar interactions, a key question is the stability of quasicrystalline phases under these long-range interactions. In this work, we study repulsive ultracold dipolar fermions in a quasiperiodic optical lattice to characterize the behavior of interacting quasicrystals. We simulate the full time evolution of the typical experimental protocols used to probe quasicrystalline order and localization properties. We extract experimentally measurable dynamical observables and correlation functions to characterize the three phases observed in the noninteracting setting: localized, intermediate, and extended. We then study the stability of such phases to repulsive dipolar interactions. We find that dipolar interactions can completely alter the shape of the phase diagram by stabilizing the intermediate phase, mostly at the expense of the extended phase. Moreover, in the strongly interacting regime, a resonance-like behavior characterized by density oscillations appears. Remarkably, strong dipolar repulsions can also localize particles even in the absence of quasiperiodicity if the primary lattice is sufficiently deep. Our work shows that dipolar interactions in a quasiperiodic potential can give rise to a complex, tunable coexistence of localized and extended quantum states.http://doi.org/10.1103/szdc-61nl
spellingShingle Paolo Molignini
Stability of quasicrystalline ultracold fermions to dipolar interactions
Physical Review Research
title Stability of quasicrystalline ultracold fermions to dipolar interactions
title_full Stability of quasicrystalline ultracold fermions to dipolar interactions
title_fullStr Stability of quasicrystalline ultracold fermions to dipolar interactions
title_full_unstemmed Stability of quasicrystalline ultracold fermions to dipolar interactions
title_short Stability of quasicrystalline ultracold fermions to dipolar interactions
title_sort stability of quasicrystalline ultracold fermions to dipolar interactions
url http://doi.org/10.1103/szdc-61nl
work_keys_str_mv AT paolomolignini stabilityofquasicrystallineultracoldfermionstodipolarinteractions