Effective Field Theory for Rydberg Polaritons.
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.
Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, National Institute of Standards and Technology and University of Maryland, College Park, Maryland 20742, USA.
M J
MJ
Gullans
Physics Department, Massachusetts Institute of Technology, Cambridge, Massachusetts 02138, USA.
J D
JD
Thompson
Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, National Institute of Standards and Technology and University of Maryland, College Park, Maryland 20742, USA.
Y
Y
Wang
Physics Department, Massachusetts Institute of Technology, Cambridge, Massachusetts 02138, USA.
Q-Y
QY
Liang
Physics Department, Massachusetts Institute of Technology, Cambridge, Massachusetts 02138, USA.
V
V
Vuletić
Physics Department, Harvard University, Cambridge, Massachusetts 02138, USA.
M D
MD
Lukin
Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, National Institute of Standards and Technology and University of Maryland, College Park, Maryland 20742, USA.
A V
AV
Gorshkov
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