Reentrant localization transition in a dimerized quasiperiodic dipolar chain
Thomas F. Allard, Guillaume Weick

TL;DR
This paper explores reentrant localization transitions in a long-range coupled, dimerized quasiperiodic dipolar chain, revealing their persistence despite dissipation and long-range interactions, with implications for quantum transport.
Contribution
It demonstrates that reentrant localization transitions persist in a long-range, dissipative quasiperiodic system with all-to-all coupling, extending previous models.
Findings
Reentrant localization transitions survive all-to-all couplings.
Emitter losses influence the localization transition.
Spectral properties confirm the robustness of the transition.
Abstract
Reentrant localization transitions, that is, the transitions of a portion of the eigenspectrum from localized to critical and then again to localized as the disorder strength is increased, have been recently unveiled in various quasiperiodic models. However, how these transitions may extend to systems with long-range coupling and dissipation remains elusive. Here we investigate the fate of such a phenomenon in a dimerized quasiperiodic chain of dipolar emitters with all-to-all coupling. Through an extensive study of the spectral properties of our model, we demonstrate that such anomalous transitions survive to all-to-all couplings when considering a staggered quasiperiodic modulation of the spacings between the emitters. Transport simulations through a driven-dissipative open quantum system approach complete our study and reveal the effects of emitter losses on the reentrant…
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Taxonomy
TopicsQuantum chaos and dynamical systems · Spectral Theory in Mathematical Physics · Quasicrystal Structures and Properties
