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JOURNALS // Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki // Archive

Pis'ma v Zh. Èksper. Teoret. Fiz., 2015 Volume 102, Issue 9, Pages 688–694 (Mi jetpl4780)

This article is cited in 3 papers

CONDENSED MATTER

Localization attractors in active quasiperiodic arrays

T. V. Laptyevaa, S. V. Denisovba, G. V. Osipova, M. V. Ivanchenkoa

a Lobachevsky State University of Nizhny Novgorod, 603140 N. Novgorod, Russia
b Department of Theoretical Physics, University of Augsburg, 86159 Augsburg, Germany

Abstract: In dissipationless linear lattices, spatial disorder or quasiperiodic modulations in on-site potentials induce localization of the eigenstates and block the spreading of wave packets. Quasiperiodic inhomogeneities allow for the metal-insulator transition at a finite modulation amplitude already in one dimension. We go beyond the dissipationless limit and consider nonlinear quasi-periodic arrays that are additionally subjected to dissipative losses and energy pumping. We find finite excitation thresholds for oscillatory phases in both metallic and insulating regimes. In contrast to disordered arrays, the transition in the metallic and weakly insulating regimes display features of the second order phase transition accompanied by a large-scale cluster synchronization. In the limit of strong localization we find the existence of globally stable asymptotic states consisting of several localized modes. These localization attractors and chaotic synchronization effects can be potentially realized with polariton condensates lattices and cavity-QED arrays.

Received: 03.09.2015
Revised: 16.09.2015

Language: English

DOI: 10.7868/S0370274X15210079


 English version:
Journal of Experimental and Theoretical Physics Letters, 2015, 102:9, 603–609

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