Scattering resonances and bound states for strongly interacting Rydberg polaritons

Abstract

We provide a theoretical framework describing slow-light polaritons interacting via atomic Rydberg states. We use a diagrammatic method to analytically derive the scattering properties of two polaritons. We identify parameter regimes where polariton-polariton interactions are repulsive. Furthermore, in the regime of attractive interactions, we identify multiple two-polariton bound states, calculate their dispersion, and study the resulting scattering resonances. Finally, the two-particle scattering properties allow us to derive the effective low-energy many-body Hamiltonian. This theoretical platform is applicable to ongoing experiments.

6 pages, 2 Figures

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• Single-Photon Transistor Using a Förster Resonance
• Long-range interactions and entanglement of slow single-photon pulses
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• Observation and measurement of "giant" dispersive optical non-linearities in an ensemble of cold Rydberg atoms
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Cited by in corpus (68)

• Topological Photonics
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• Nonequilibrium many-body steady states via Keldysh formalism
• Tutorial: Calculation of Rydberg interaction potentials
• Observation of three-photon bound states in a quantum nonlinear medium
• Enhancement of Rydberg-mediated single-photon nonlinearities by electrically tuned Förster Resonances
• Coulomb bound states of strongly interacting photons
• Observation of Cavity Rydberg Polaritons
• Highly nonlocal optical nonlinearities in atoms trapped near a waveguide
• Simulating quantum light propagation through atomic ensembles using matrix product states
• Resonant Rydberg Dressing of Alkaline-Earth Atoms via Electromagnetically Induced Transparency
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• Many-body physics of Rydberg dark-state polaritons in the strongly interacting regime
• Quantum and Nonlinear Optics in Strongly Interacting Atomic Ensembles
• Correlated photon dynamics in dissipative Rydberg media
• Effective Field Theory for Rydberg Polaritons
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• Intracavity Rydberg atom electromagnetically induced transparency using a high finesse optical cavity
• Dipolar dephasing of Rydberg D-state polaritons
• Three-body interaction of Rydberg slow light polaritons
• Nonperturbative Waveguide Quantum Electrodynamics
• Quantum vortices of strongly interacting photons
• Efimov States of Strongly Interacting Photons
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• Engineering Photonic Floquet Hamiltonians through Fabry Pérot Resonators
• Motional $N$-phonon Bundle States of A Trapped Atom with Clock Transitions
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• Many-body decoherence dynamics and optimised operation of a single-photon switch
• Emergence of solitons from many-body photon bound states in quantum nonlinear media
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• Quantum theory of Kerr nonlinearity with Rydberg slow light polaritons
• Dynamical emission of phonon pairs in optomechanical systems
• The effect of polarization entanglement in photon-photon scattering
• Quantum Optics with Rydberg Superatoms
• Lensing effect of electromagnetically induced transparency involving a Rydberg state
• Density matrix reconstruction of three-level atoms via Rydberg electromagnetically induced transparency
• Interacting photon pulses in Rydberg medium
• Deterministic generation of multi-photon bundles in a quantum Rabi model
• Multiple-photon bundle emission in the $n$-photon Jaynes-Cummings model
• Electromagnetically induced transparency of a single-photon in dipole-coupled one-dimensional atomic clouds
• Non-equilibrium diagrammatic approach to strongly interacting photons
• Quantum many-body dynamics of driven-dissipative Rydberg polaritons
• Inelastic photon scattering via the intracavity Rydberg blockade
• Coupled rate-equation hydrodynamic simulation of a Rydberg gas Gaussian ellipsoid: Classical avalanche and evolution to molecular plasma
• Dynamical $N$-photon bundle emission
• Two photon conditional phase gate based on Rydberg slow light polaritons
• Resonantly enhanced polariton wave mixing and Floquet parametric instability
• Few-body quantum physics with strongly interacting Rydberg polaritons
• Creation and detection of photonic molecules in Rydberg gases
• Nonlinear absorption in interacting Rydberg electromagnetically-induced-transparency spectra on two-photon resonance
• Tunable three-body loss in a nonlinear Rydberg medium
• Experimentally accessible invariants encoded in interparticle correlations of harmonically trapped ultra-cold few-fermion mixtures
• Cavity polaritons with Rydberg blockade and long-range interactions
• Nonlinear quantum optics for spinor slow light
• Exotic photonic molecules via Lennard-Jones-like potentials
• Broadband photon-photon interactions mediated by cold atoms in a photonic crystal fiber
• Two-mode correlated multiphoton bundle emission
• Quantum light from lossy semiconductor Rydberg excitons
• Resonant enhancement of three-body loss between strongly interacting photons
• Singularities in nearly-uniform 1D condensates due to quantum diffusion
• Nonclassical Photon-Bundle Correlations in Quantum Rabi Models
• Blockade-induced resonant enhancement of the optical nonlinearity in a Rydberg medium
• Long-Range Blockade Between Counter-Propagating Photons
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