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Quantum optics in Maxwell's fish eye lens with single atoms and photons

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Author(s)
Kómár, P.
•
Lukin, M. D.
•
Perczel, Janos
Date Issued
September 2018
Journal
Physical Review A
Publisher
American Physical Society
Citation
Perczel, J., et al. “Quantum Optics in Maxwell’s Fish Eye Lens with Single Atoms and Photons.” Physical Review A, vol. 98, no. 3, Sept. 2018. © 2018 American Physical Society
Version
Final published version
Abstract
We investigate the quantum optical properties of Maxwell's two-dimensional fish eye lens at the single-photon and single-atom level. We show that such a system mediates effectively infinite-range dipole-dipole interactions between atomic qubits, which can be used to entangle multiple pairs of distant qubits. We find that the rate of the photon exchange between two atoms, which are detuned from the cavity resonances, is well described by a model where the photon is focused to a diffraction-limited area during absorption. We consider the effect of losses on the system and study the fidelity of the entangling operation via dipole-dipole interaction. We derive our results analytically using perturbation theory and the Born-Markov approximation and then confirm their validity by numerical simulations. We also discuss how the two-dimensional Maxwell's fish eye lens could be realized experimentally using transformational plasmon optics.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
http://hdl.handle.net/1721.1/117675
DOI of Published Version
https://doi.org/10.1103/PhysRevA.98.033803
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