Topology and Interactions in the photonic Creutz and Creutz-Hubbard ladders



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Zurita, J. and Creffield, Charles E. and Platero, G. (2020) Topology and Interactions in the photonic Creutz and Creutz-Hubbard ladders. Advanced quantum technologies, 3 (2). ISSN 2511-9044

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The latest advances in the field of photonics have enabled the simulation of an increasing number of quantum models in photonic systems, turning them into an important tool for realizing exotic quantum phenomena. In this paper, different ways in which these systems can be used to study the interplay between flat band dynamics, topology, and interactions in a well-known quasi-1 D topological insulator-the Creutz ladder-are suggested. First, a simple experimental protocol is proposed to observe the Aharonov-Bohm localization in the noninteracting system, and the different experimental setups that might be used for this are reviewed. The inclusion of a repulsive Hubbard-type interaction term, which can give rise to repulsively bound pairs termed doublons, is then considered. The dynamics of these quasiparticles are studied for different points of the phase diagram, including a regime in which pairs are localized and particles are free to move. Finally, a scheme for the photonic implementation of a two-particle bosonic Creutz-Hubbard model is presented.

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©2019 The Authors. Published by WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
The authors would like to thank M. A. Martin-Delgado, M. Bello, and A. Bermudez for fruitful discussions. C.E.C. was supported by Spain's MINECO through Grant No. FIS2017-84368-P. G.P. was supported by Spain's MINECO through Grant No. MAT2017-86717-P and by CSIC Research Platform PTI-001.

Uncontrolled Keywords:Aharonov-Bohm cages; Protection; Quantum; Particles; Lattice; States; Creutz ladder; Flat band dynamics; Hubbard interaction; Photonic lattices; Quantum simulation; Topological insulators
Subjects:Sciences > Physics > Materials
Sciences > Physics > Solid state physics
ID Code:62001
Deposited On:11 Sep 2020 16:16
Last Modified:11 Sep 2020 16:16

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