Robert J. Bettles
Cooperative eigenmodes and scattering in one-dimensional atomic arrays
Bettles, Robert J.; Gardiner, Simon A.; Adams, Charles S.
Authors
Professor Simon Gardiner s.a.gardiner@durham.ac.uk
Professor
Professor Stuart Adams c.s.adams@durham.ac.uk
Professor
Abstract
Collective coupling between dipoles can dramatically modify the optical response of a medium. Such effects depend strongly on the geometry of the medium and the polarization of the light. Using a classical coupled dipole model, here we investigate the simplest case of one-dimensional arrays of interacting atomic dipoles driven by a weak laser field. Changing the polarization and direction of the driving field allows us to separately address superradiant, subradiant, redshifted, and blueshifted eigenmodes, as well as observe strong Fano-like interferences between different modes. The cooperative eigenvectors can be characterized by the phase difference between nearest-neighbor dipoles, ranging from all oscillating in phase to all oscillating out of phase with their nearest neighbors. Investigating the eigenvalue behavior as a function of atom number and lattice spacing, we find that certain eigenmodes of an infinite atomic chain have the same decay rate as a single atom between two mirrors. The effects we observe provide a framework for collective control of the optical response of a medium, giving insight into the behavior of more complicated geometries, as well as providing further evidence for the dipolar analog of cavity QED.
Citation
Bettles, R. J., Gardiner, S. A., & Adams, C. S. (2016). Cooperative eigenmodes and scattering in one-dimensional atomic arrays. Physical Review A, 94(4), Article 043844. https://doi.org/10.1103/physreva.94.043844
Journal Article Type | Article |
---|---|
Acceptance Date | Oct 24, 2016 |
Online Publication Date | Oct 24, 2016 |
Publication Date | Oct 24, 2016 |
Deposit Date | Oct 25, 2016 |
Publicly Available Date | Nov 3, 2016 |
Journal | Physical Review A |
Print ISSN | 2469-9926 |
Electronic ISSN | 2469-9934 |
Publisher | American Physical Society |
Peer Reviewed | Peer Reviewed |
Volume | 94 |
Issue | 4 |
Article Number | 043844 |
DOI | https://doi.org/10.1103/physreva.94.043844 |
Public URL | https://durham-repository.worktribe.com/output/1394898 |
Related Public URLs | https://arxiv.org/abs/1607.05016 |
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Copyright Statement
Reprinted with permission from the American Physical Society: Bettles, Robert J. and Gardiner, Simon A. and Adams, Charles S. (2016) 'Cooperative eigenmodes and scattering in one-dimensional atomic arrays.', Physical review A., 94 (4). 043844 © 2016 by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.
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