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Abstract
We extend the t-z mapping of time-dependent paraxial optics by engineering a synthetic magnetic vector potential, leading to a nontrivial band topology. We consider an inhomogeneous 1D array of coupled optical waveguides and show that the wave equation describing paraxial propagation of optical pulses can be recast as a Schrödinger equation, including a synthetic magnetic field whose strength can be controlled via the spatial gradient of the waveguide properties across the array. We use an experimentally motivated model of a laser-written array to demonstrate that this synthetic magnetic field can be engineered in realistic setups and can produce interesting physics such as cyclotron motion, a controllable Hall drift of the pulse in space or time, and propagation in chiral edge states. These results substantially extend the physics that can be explored within propagating geometries and pave the way for higher-dimensional topological physics and strongly correlated fluids of light.
Original language | English |
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Article number | eadj036 |
Number of pages | 11 |
Journal | Science Advances |
Volume | 9 |
Issue number | 42 |
DOIs | |
Publication status | Published - 20 Oct 2023 |
Bibliographical note
Funding: I.C. acknowledges financial support from the Provincia Autonoma di Trento, the Q@TN initiative, and PNRR MUR project PE0000023-NQSTI. C.O. and H.M.P. were supported by the Royal Society via grants UF160112, RGF/EA/180121, and RGF/R1/180071 and the Engineering and Physical Sciences Research Council (grant number EP/W016141/1). M.C.R. acknowledges support from the Office of Naval Research under agreement number N00014-23-1-2102 and the Air Force Office of Scientific Research MURI program under agreement number FA9550-22-1-0339. S.M. acknowledges support from IISc and SERB (SRG/2022/002062).Fingerprint
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Interacting Topological Matter in Synthetic Dimensions
Price, H. (Principal Investigator)
Engineering & Physical Science Research Council
1/06/23 → 27/12/25
Project: Research Councils
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Topological Physics in Nonlinear Waveguides
Price, H. (Principal Investigator)
1/12/17 → 31/03/26
Project: Research Councils
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Topological Physics in Non-Hermitian Systems
Price, H. (Principal Investigator)
31/03/18 → 3/03/23
Project: Research Councils
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Royal Society University Research Fellow
Price, H. (Principal Investigator)
1/10/17 → 31/03/23
Project: Research Councils