Momentum-space Landau levels in arrays of coupled ring resonators

Hannah M Price; Andrei C. Berceanu; Tomoki Ozawa; Iacopo Carusotto

doi:10.1117/12.2218615

Momentum-space Landau levels in arrays of coupled ring resonators

Hannah M Price, Andrei C. Berceanu, Tomoki Ozawa, Iacopo Carusotto

Physics and Astronomy

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Artificial magnetic fields for photons can significantly enrich the physics of coupled ring resonator arrays. We push this further to discuss how, under the addition of a harmonic potential, the photonic eigenstates can be recognised as novel Landau levels in momentum space.¹ We present two realistic experimental proposals in which this physics could be realised. Firstly, we discuss how to extend the experiment of Hafezi et al.,² where the artificial magnetic field was created using link resonators in a 2D ring resonator array. Secondly, we expand on a proposal in which an effective 2D photonic lattice is realised in a 1D ring resonator chain by exploiting a synthetic dimension for photons.³ We show that momentum-space Landau levels would have clear signatures in spectroscopic measurements in such experiments, and we discuss the insights gained in this way into geometrical energy bands and particles in magnetic fields.⁴

Original language	English
Title of host publication	Advances in Photonics of Quantum Computing, Memory, and Communication IX
Publisher	Society of Photo-Optical Instrumentation Engineers
Volume	9762
ISBN (Electronic)	9781628419979
DOIs	https://doi.org/10.1117/12.2218615
Publication status	Published - 15 Mar 2016
Event	Advances in Photonics of Quantum Computing, Memory, and Communication IX - San Francisco, United States Duration: 16 Feb 2016 → 18 Feb 2016

Conference

Conference	Advances in Photonics of Quantum Computing, Memory, and Communication IX
Country/Territory	United States
City	San Francisco
Period	16/02/16 → 18/02/16

Keywords

Berry curvature
coupled ring resonators
magnetic eigenstates
synthetic dimension
synthetic gauge elds
topological energy bands

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Computer Science Applications
Applied Mathematics
Electrical and Electronic Engineering

Access to Document

10.1117/12.2218615

Cite this

@inproceedings{6789b6309d764a29b677ab41059a8c72,

title = "Momentum-space Landau levels in arrays of coupled ring resonators",

abstract = "Artificial magnetic fields for photons can significantly enrich the physics of coupled ring resonator arrays. We push this further to discuss how, under the addition of a harmonic potential, the photonic eigenstates can be recognised as novel Landau levels in momentum space.1 We present two realistic experimental proposals in which this physics could be realised. Firstly, we discuss how to extend the experiment of Hafezi et al.,2 where the artificial magnetic field was created using link resonators in a 2D ring resonator array. Secondly, we expand on a proposal in which an effective 2D photonic lattice is realised in a 1D ring resonator chain by exploiting a synthetic dimension for photons.3 We show that momentum-space Landau levels would have clear signatures in spectroscopic measurements in such experiments, and we discuss the insights gained in this way into geometrical energy bands and particles in magnetic fields.4 ",

keywords = "Berry curvature, coupled ring resonators, magnetic eigenstates, synthetic dimension, synthetic gauge elds, topological energy bands",

author = "Price, {Hannah M} and Berceanu, {Andrei C.} and Tomoki Ozawa and Iacopo Carusotto",

year = "2016",

month = mar,

day = "15",

doi = "10.1117/12.2218615",

language = "English",

volume = "9762",

booktitle = "Advances in Photonics of Quantum Computing, Memory, and Communication IX",

publisher = "Society of Photo-Optical Instrumentation Engineers",

address = "United States",

note = "Advances in Photonics of Quantum Computing, Memory, and Communication IX ; Conference date: 16-02-2016 Through 18-02-2016",

}

Price, HM, Berceanu, AC, Ozawa, T & Carusotto, I 2016, Momentum-space Landau levels in arrays of coupled ring resonators. in Advances in Photonics of Quantum Computing, Memory, and Communication IX. vol. 9762, 97620W, Society of Photo-Optical Instrumentation Engineers, Advances in Photonics of Quantum Computing, Memory, and Communication IX, San Francisco, United States, 16/02/16. https://doi.org/10.1117/12.2218615

TY - GEN

T1 - Momentum-space Landau levels in arrays of coupled ring resonators

AU - Price, Hannah M

AU - Berceanu, Andrei C.

AU - Ozawa, Tomoki

AU - Carusotto, Iacopo

PY - 2016/3/15

Y1 - 2016/3/15

N2 - Artificial magnetic fields for photons can significantly enrich the physics of coupled ring resonator arrays. We push this further to discuss how, under the addition of a harmonic potential, the photonic eigenstates can be recognised as novel Landau levels in momentum space.1 We present two realistic experimental proposals in which this physics could be realised. Firstly, we discuss how to extend the experiment of Hafezi et al.,2 where the artificial magnetic field was created using link resonators in a 2D ring resonator array. Secondly, we expand on a proposal in which an effective 2D photonic lattice is realised in a 1D ring resonator chain by exploiting a synthetic dimension for photons.3 We show that momentum-space Landau levels would have clear signatures in spectroscopic measurements in such experiments, and we discuss the insights gained in this way into geometrical energy bands and particles in magnetic fields.4

AB - Artificial magnetic fields for photons can significantly enrich the physics of coupled ring resonator arrays. We push this further to discuss how, under the addition of a harmonic potential, the photonic eigenstates can be recognised as novel Landau levels in momentum space.1 We present two realistic experimental proposals in which this physics could be realised. Firstly, we discuss how to extend the experiment of Hafezi et al.,2 where the artificial magnetic field was created using link resonators in a 2D ring resonator array. Secondly, we expand on a proposal in which an effective 2D photonic lattice is realised in a 1D ring resonator chain by exploiting a synthetic dimension for photons.3 We show that momentum-space Landau levels would have clear signatures in spectroscopic measurements in such experiments, and we discuss the insights gained in this way into geometrical energy bands and particles in magnetic fields.4

KW - Berry curvature

KW - coupled ring resonators

KW - magnetic eigenstates

KW - synthetic dimension

KW - synthetic gauge elds

KW - topological energy bands

UR - http://www.scopus.com/inward/record.url?scp=84987680623&partnerID=8YFLogxK

U2 - 10.1117/12.2218615

DO - 10.1117/12.2218615

M3 - Conference contribution

AN - SCOPUS:84987680623

VL - 9762

BT - Advances in Photonics of Quantum Computing, Memory, and Communication IX

PB - Society of Photo-Optical Instrumentation Engineers

T2 - Advances in Photonics of Quantum Computing, Memory, and Communication IX

Y2 - 16 February 2016 through 18 February 2016

ER -

Momentum-space Landau levels in arrays of coupled ring resonators

Abstract

Conference

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this