Cited by 116Topological Materials and PhenomenaQuantum Mechanics and Non-Hermitian PhysicsStrong Light-Matter Interactions

Anomalous and Quantum Hall Effects in Lossy Photonic Lattices

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Ozawa, Tomoki, Carusotto, Iacopo·2014·Physical Review Letters

Abstract

We theoretically discuss analogues of the anomalous and the integer quantum Hall effect in driven-dissipative two-dimensional photonic lattices in the presence of a synthetic gauge field. Photons are coherently injected by a spatially localized pump, and the transverse shift of the in-plane light distribution under the effect of an additional uniform force is considered. Depending on pumping parameters, the transverse shift turns out to be proportional either to the global Chern number (integer quantum Hall effect) or to the local Berry curvature (anomalous Hall effect). This suggests a viable route to experimentally measure these quantities in photonic lattices.

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  1. [34]A. H. Castro Neto, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, Rev. Mod. Phys. 81, 109 (2009).
  2. [35]P. G. Harper, Proc. Phys. Soc. London Sect. A 68 , 874 (1955).

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Authors
Ozawa, T., & Carusotto, I.
Affiliations
University of Trento (IT)
Venue
Physical Review Letters
Published
2014-04-01
Volume
112
Issue
13
Pages
133902-133902
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
OpenAlex
W2057982069
Cited by
116
References
35
Citations by year
2026: 2 · 2025: 6 · 2024: 3 · 2023: 3 · 2022: 5 · 2021: 7 · 2020: 3 · 2019: 7 · 2018: 9 · 2017: 34 · 2016: 20 · 2015: 11 · 2014: 6
FWCI
11.78
Type
journal article
Language
en
Open access
Locations
  • Physical Review Letters (publishedVersion)
  • arXiv (Cornell University) (publishedVersion)
  • PubMed (publishedVersion)
  • INO Open Portal (submittedVersion)
  • Iris (University of Trento) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Strong Light-Matter Interactions
Keywords
anomalous Hall effect, integer quantum Hall effect, photonic lattices, driven-dissipative systems, synthetic gauge fields, Chern number, Berry curvature, transverse shift, lossy systems, topological photonics

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