A dimerized quasiperiodic chain of dipolar emitters exhibits a reentrant localization transition that survives all-to-all coupling for a specifically chosen incommensurate period.
Reentrant localization transition in a dimerized quasiperiodic dipolar chain
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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 quasiperiodic modulation strength is increased, have been recently unveiled in various quasiperiodic models. However, both the physical mechanisms underlying these transitions and how they may extend to systems with long-range coupling and dissipation remain elusive. Here we investigate the fate of such a phenomenon in a dimerized quasiperiodic chain of lossy dipolar emitters with all-to-all coupling. We demonstrate that in this model, reentrant transitions survive to all-to-all couplings and occur from an interplay between the chain dimerization and an asymmetric quasiperiodic modulation of the emitter spacings. Transport simulations through a driven-dissipative open quantum system approach complete our study and reveal the detrimental effects of emitter losses on the reentrant localization transition.
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Reentrant localization transition in a dimerized quasiperiodic dipolar chain
A dimerized quasiperiodic chain of dipolar emitters exhibits a reentrant localization transition that survives all-to-all coupling for a specifically chosen incommensurate period.