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Optomechanical creation of magnetic fields for photons on a lattice

Schmidt, M. and Kessler, S. and Peano, V. and Painter, O. and Marquardt, F. (2015) Optomechanical creation of magnetic fields for photons on a lattice. Optica, 2 (7). pp. 635-641. ISSN 2334-2536. doi:10.1364/OPTICA.2.000635.

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Recently, there has been growing interest in the creation of artificial magnetic fields for uncharged particles, such as cold atoms or photons. These efforts are partly motivated by the resulting desirable features, such as transport along edge states that is robust against backscattering. We analyze how the optomechanical interaction between photons and mechanical vibrations can be used to create artificial magnetic fields for photons on a lattice. The ingredients required are an optomechanical crystal, i.e., a free-standing photonic crystal with localized vibrational and optical modes, and two laser beams with the right pattern of phases. One of the two schemes analyzed here is based on optomechanical modulation of the links between optical modes, while the other is a lattice extension of optomechanical wavelength-conversion setups. We analyze both schemes theoretically and present numerical simulations of the resulting optical spectrum, photon transport in the presence of an artificial Lorentz force, edge states, and the photonic Aharonov–Bohm effect. We discuss the requirements for experimental realizations. Finally, we analyze the completely general situation of an optomechanical system subject to an arbitrary optical phase pattern and conclude that it is best described in terms of gauge fields acting in synthetic dimensions. In contrast to existing nonoptomechanical approaches, the schemes analyzed here are very versatile, since they can be controlled fully optically, allowing for time-dependent in situ tunability without the need for individual electrical addressing of localized optical modes.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Peano, V.0000-0003-1931-5080
Painter, O.0000-0002-1581-9209
Marquardt, F.0000-0003-4566-1753
Additional Information:© 2015 Optical Society of America. Received 15 April 2015; revised 8 June 2015; accepted 8 June 2015 (Doc. ID 238089); published 10 July 2015. Funding: Defense Advanced Research Projects Agency (DARPA) (ORCHID); European Commission (EC) (Marie-Curie ITN cQOM); European Research Council (ERC) (Starting Grant OPTOMECH). We thank an anonymous referee for pointing out to us the work of Kolovsky.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
European CommissionUNSPECIFIED
European Research Council (ERC)OPTOMECH
Issue or Number:7
Classification Code:OCIS codes: (230.5298) Photonic crystals; (230.4555) Coupled resonators; (230.4685) Optical microelectromechanical devices
Record Number:CaltechAUTHORS:20150317-084906162
Persistent URL:
Official Citation:M. Schmidt, S. Kessler, V. Peano, O. Painter, and F. Marquardt, "Optomechanical creation of magnetic fields for photons on a lattice," Optica 2, 635-641 (2015)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:55830
Deposited By: Joy Painter
Deposited On:17 Mar 2015 16:14
Last Modified:10 Nov 2021 20:50

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