Effective Field Theory for Rydberg Polaritons
arXiv:1605.05651 · doi:10.1103/PhysRevLett.117.113601
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 non-equilibrium 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 -body interactions between Rydberg polaritons. These results pave the way towards studying non-perturbative effects in quantum field theories using Rydberg polaritons.
arXiv comment5+ pages main text, 3 figures; 5 pages supplemental, 1 figure; v2 - replaced discussion of N-body bound state preparation with discussion of effective range corrections and made other minor corrections
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