Effective Field Theory for Rydberg Polaritons
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PhysRevLett.117.113601.pdf
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Author(s) • • • • • •
Gullans, M. J.
Wang, Y.
Lukin, M. D.
Gorshkov, A. V.
Thompson, Jeffrey Douglas
Liang, Qiyu
Vuletic, Vladan
Date Issued
September 2016
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Gullans, M. J. et al. “Effective Field Theory for Rydberg Polaritons.” Physical Review Letters 117.11 (2016): n. pag.
Version
Final published version
Abstract
We develop an effective field theory (EFT) to describe the few- and many-body propagation of one-dimensional Rydberg polaritons. We show that the photonic transmission through the Rydberg medium can be found by mapping the propagation problem to a nonequilibrium quench, where the role of time and space are reversed. We include effective range corrections in the EFT and show that they dominate the dynamics near scattering resonances in the presence of deep bound states. Finally, we show how the long-range nature of the Rydberg-Rydberg interactions induces strong effective N-body interactions between Rydberg polaritons. These results pave the way towards studying nonperturbative effects in quantum field theories using Rydberg polaritons.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.117.113601