Experimental observation of Aharonov-Bohm cages in photonic lattices

Sebabrata Mukherjee, Marco Di Liberto, Patrik Ohberg, Robert R. Thomson, Nathan Goldman

Research output: Contribution to journalLetter

Abstract

We report on the experimental realization of a uniform synthetic magnetic flux and the observation of Aharonov-Bohm cages in photonic lattices. Considering a rhombic array of optical waveguides, we engineer modulation-assisted tunneling processes that effectively produce non-zero magnetic flux per plaquette. This synthetic magnetic field for light can be tuned at will by varying the phase of the modulation. In the regime where half a flux quantum is realized in each plaquette, all the energy bands dramatically collapse into non-dispersive (flat) bands and all eigenstates are completely localized. We demonstrate this Aharonov-Bohm caging by studying the propagation of light in the bulk of the photonic lattice. Besides, we explore the dynamics on the edge of the lattice and discuss how the corresponding edge states can be continuously connected to the topological edge states of the Creutz ladder. Our photonic lattice constitutes an appealing platform where the interplay between engineered gauge fields, frustration, localization and topological properties can be finely studied.
LanguageEnglish
Article number075502
JournalPhysical Review Letters
Volume121
Issue number7
DOIs
Publication statusPublished - 16 Aug 2018

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photonics
magnetic flux
modulation
frustration
ladders
optical waveguides
engineers
energy bands
eigenvectors
platforms
propagation
magnetic fields

Keywords

  • PHOTONICS
  • Aharonov-Bohm phase
  • synthetic magnetic flux for photons
  • Ultrafast Laser Inscription
  • Topological edge states
  • Localization
  • flat bands
  • optical waveguides
  • LATTICE

Cite this

Mukherjee, Sebabrata ; Di Liberto, Marco ; Ohberg, Patrik ; Thomson, Robert R. ; Goldman, Nathan. / Experimental observation of Aharonov-Bohm cages in photonic lattices. In: Physical Review Letters. 2018 ; Vol. 121, No. 7.
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abstract = "We report on the experimental realization of a uniform synthetic magnetic flux and the observation of Aharonov-Bohm cages in photonic lattices. Considering a rhombic array of optical waveguides, we engineer modulation-assisted tunneling processes that effectively produce non-zero magnetic flux per plaquette. This synthetic magnetic field for light can be tuned at will by varying the phase of the modulation. In the regime where half a flux quantum is realized in each plaquette, all the energy bands dramatically collapse into non-dispersive (flat) bands and all eigenstates are completely localized. We demonstrate this Aharonov-Bohm caging by studying the propagation of light in the bulk of the photonic lattice. Besides, we explore the dynamics on the edge of the lattice and discuss how the corresponding edge states can be continuously connected to the topological edge states of the Creutz ladder. Our photonic lattice constitutes an appealing platform where the interplay between engineered gauge fields, frustration, localization and topological properties can be finely studied.",
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Experimental observation of Aharonov-Bohm cages in photonic lattices. / Mukherjee, Sebabrata; Di Liberto, Marco ; Ohberg, Patrik; Thomson, Robert R.; Goldman, Nathan.

In: Physical Review Letters, Vol. 121, No. 7, 075502, 16.08.2018.

Research output: Contribution to journalLetter

TY - JOUR

T1 - Experimental observation of Aharonov-Bohm cages in photonic lattices

AU - Mukherjee, Sebabrata

AU - Di Liberto, Marco

AU - Ohberg, Patrik

AU - Thomson, Robert R.

AU - Goldman, Nathan

PY - 2018/8/16

Y1 - 2018/8/16

N2 - We report on the experimental realization of a uniform synthetic magnetic flux and the observation of Aharonov-Bohm cages in photonic lattices. Considering a rhombic array of optical waveguides, we engineer modulation-assisted tunneling processes that effectively produce non-zero magnetic flux per plaquette. This synthetic magnetic field for light can be tuned at will by varying the phase of the modulation. In the regime where half a flux quantum is realized in each plaquette, all the energy bands dramatically collapse into non-dispersive (flat) bands and all eigenstates are completely localized. We demonstrate this Aharonov-Bohm caging by studying the propagation of light in the bulk of the photonic lattice. Besides, we explore the dynamics on the edge of the lattice and discuss how the corresponding edge states can be continuously connected to the topological edge states of the Creutz ladder. Our photonic lattice constitutes an appealing platform where the interplay between engineered gauge fields, frustration, localization and topological properties can be finely studied.

AB - We report on the experimental realization of a uniform synthetic magnetic flux and the observation of Aharonov-Bohm cages in photonic lattices. Considering a rhombic array of optical waveguides, we engineer modulation-assisted tunneling processes that effectively produce non-zero magnetic flux per plaquette. This synthetic magnetic field for light can be tuned at will by varying the phase of the modulation. In the regime where half a flux quantum is realized in each plaquette, all the energy bands dramatically collapse into non-dispersive (flat) bands and all eigenstates are completely localized. We demonstrate this Aharonov-Bohm caging by studying the propagation of light in the bulk of the photonic lattice. Besides, we explore the dynamics on the edge of the lattice and discuss how the corresponding edge states can be continuously connected to the topological edge states of the Creutz ladder. Our photonic lattice constitutes an appealing platform where the interplay between engineered gauge fields, frustration, localization and topological properties can be finely studied.

KW - PHOTONICS

KW - Aharonov-Bohm phase

KW - synthetic magnetic flux for photons

KW - Ultrafast Laser Inscription

KW - Topological edge states

KW - Localization

KW - flat bands

KW - optical waveguides

KW - LATTICE

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DO - 10.1103/PhysRevLett.121.075502

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