Two-dimensional topological quantum walks in the momentum space of structured light
Open accessAbstract
Quantum walks are powerful tools for quantum applications and for designing topological systems. Although they are simulated in a variety of platforms, genuine two-dimensional realizations are still challenging. Here we present an innovative approach to the photonic simulation of a quantum walk in two dimensions, where walker positions are encoded in the transverse-wavevector component of a single light beam. The desired dynamics is obtained by means of a sequence of liquid-crystal devices, which apply polarization-dependent transverse “kicks” to the photons in the beam. We engineer our quantum walk so that it realizes a periodically driven Chern insulator, and we probe its topological features by detecting the anomalous displacement of the photonic wavepacket under the effect of a constant force. Our compact, versatile platform offers exciting prospects for the photonic simulation of two-dimensional quantum dynamics and topological systems.
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A large variety of quantum walks can be implemented with this platform by tuning the parameters δ and ω.
“A large variety of QWs can be implemented with this platform, by tuning the parameters δ and ω, as already shown in ref. 22 .”
From Quantum walks of two correlated photons in a 2D synthetic lattice (2022) · cites this paper as [22]
The Conclusion (p. 7) says the platform can study several quantum-walk architectures by dynamically controlling parameters including optical retardation δ. It does not identify ω as a tunable parameter or say that varying δ and ω together implements those walks. (LLM, conf=0.85)
Experimental — accuracy not yet measuredBy controlling the parameters, diverse single-particle quantum walks mimicking periodically driven Chern insulators have been reported.
“By controlling these parameters, diverse single-particle QWs mimicking periodically driven Chern insulators have been reported 22 .”
From Quantum walks of two correlated photons in a 2D synthetic lattice (2022) · cites this paper as [22]
Section B (p. 3) reports an implemented quantum-walk protocol that realizes a periodically driven Chern insulator and has different topological phases as δ changes. The Conclusion (p. 7) says parameter control allows several walk architectures, but identifies the Chern-insulator simulation as the protocol presented here; it does not report diverse Chern-insulator-mimicking walks. (LLM, conf=0.83)
Experimental — accuracy not yet measuredThe platform builds on a recent approach to the simulation of single-particle 2D quantum walks using coherent laser light.
“Our platform builds on a recent approach to the simulation of single-particle 2D QWs using coherent laser light 22 .”
From Quantum walks of two correlated photons in a 2D synthetic lattice (2022) · cites this paper as [22]
The presented platform is compact, flexible, and enables the implementation of a large variety of different topological quantum walks.
“The presented platform is compact, flexible, and enables the implementation of a large variety of different topological quantum walks 22 .”
From Quantum walks of two correlated photons in a 2D synthetic lattice (2022) · cites this paper as [22]
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Cited by
Sorted by citations
Quantum walks of two correlated photons in a 2D synthetic lattice
Esposito, C., Barros, M. R., Durán Hernández, A., Carvacho, G., Di Colandrea, F., Barboza, R., Cardano, F., Spagnolo, N., Marrucci, L., & Sciarrino, F. (2022) · npj Quantum Information · doi:10.1038/s41534-022-00544-0 · Cited by 36 · see citing works
Self-citationMulti-particle quantum walks on 3D integrated photonic chip
Zhou, W.-H., Wang, X.-W., Ren, R.-J., Fu, Y.-X., Chang, Y.-J., Xu, X.-Y., Tang, H., & Jin, X.-M. (2024) · Light: Science & Applications · doi:10.1038/s41377-024-01627-7 · Cited by 16 · see citing works
- Authors
- D’Errico, A., Cardano, F., Maffei, M., Dauphin, A., Barboza, R., Esposito, C., Piccirillo, B., Lewenstein, M., Massignan, P., & Marrucci, L.
- Affiliations
- University of Naples Federico II (IT)
- Institute of Photonic Sciences (ES)
- Institució Catalana de Recerca i Estudis Avançats (ES)
- Institute of Applied Science and Intelligent Systems (IT)
- ORCID
- Venue
- Optica
- Publisher
- Optica Publishing Group
- Published
- 2020-01-23
- Volume
- 7
- Issue
- 2
- Pages
- 108
- ISSN
- 2334-2536 (ISSN-L)
- OpenAlex
- W2899799403
- Cited by
- 84
- References
- 13
- Citations by year
- 2026: 10 · 2025: 11 · 2024: 12 · 2023: 13 · 2022: 9 · 2021: 14 · 2020: 12 · 2019: 3
- FWCI
- 4.18
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Locations
- Optica (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- UPCommons institutional repository (Universitat Politècnica de Catalunya) (submittedVersion, cc-by-nc-nd)
- HAL (submittedVersion)
- IRIS Research product catalog (Sapienza University of Rome) (submittedVersion)
- Università Politecnica delle Marche (Università Politecnica delle Marche) (submittedVersion, other-oa)
- CINECA IRIS Institutional Research Information System (University of Bari Aldo Moro) (submittedVersion, cc-by)
- arXiv (Cornell University)
- Funders
- H2020 European Research Council (694683)
- FP7 Ideas: European Research Council (339106)
- H2020 Future and Emerging Technologies (641122)
- Fundación Cellex
- Ministerio de Economía y Competitividad (SEV-2015-0522, FIS2016-79508-P, SWUQM FIS2017-84114-C2-1-P)
- Generalitat de Catalunya (CERCA, SGR874)
- Ministerio de Ciencia, Innovación y Universidades (IJCI-2017-33180, Ramón y Cajal)
- 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 › Orbital Angular Momentum in Optics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
- Keywords
- two-dimensional quantum walk, structured light, Chern insulator, periodically driven systems, liquid crystal devices, topological photonics
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