Many-body dynamics of driven-dissipative Rydberg cavity polaritons

Hadiseh Alaeian, Jan Kumlin, Hans Peter Büchler +1 more

J. Maslek, Thomas Boulier, Eric Magnan +5 more

Alexandros Georgakopoulos, Ningyuan Jia, Albert Ryou +5 more

Kristina R. Colladay, Erich J. Mueller

We present a driven dissipative protocol for creating an optical analog of the Laughlin state in a system of Rydberg polaritons in a twisted optical cavity. We envision resonantly driving the system into a 4-polariton state by injecting photons in carefully selected modes. The dissipative nature of the polariton-polariton interactions leads to a decay into a two-polariton analog of the Laughlin state. Generalizations of this technique could be used to explore fractional statistics and anyon based quantum information processing. We also model recent experiments that attempt to coherently drive into this same state.

Tim Pistorius, Javad Kazemi, Hendrik Weimer

We study the propagation of strongly interacting Rydberg polaritons through an atomic medium in a one-dimensional optical lattice. We derive an effective single-band Hubbard model to describe the dynamics of the dark-state polaritons under realistic assumptions. Within this model, we analyze the driven-dissipative transport of polaritons through the system by considering a coherent drive on one side and by including the spontaneous emission of the metastable Rydberg state. Using a variational approach to solve the many-body problem, we find strong antibunching of the outgoing photons despite the losses from the Rydberg state decay.

Alexander Edelman, P. B. Littlewood