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Condensed Matter > Quantum Gases
Title: Stability of quasicrystalline ultracold fermions to dipolar interactions
(Submitted on 7 Mar 2024)
Abstract: Quasiperiodic potentials can be used to interpolate between localization and delocalization in one dimension. However, little is known about the stability of quasicrystalline phases to 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, tuneable coexistence of localized and extended quantum states.
Submission history
From: Paolo Simone Molignini [view email][v1] Thu, 7 Mar 2024 19:00:01 GMT (11130kb,D)
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