Highly nonlocal optical nonlinearities in atoms trapped near a waveguide

Abstract

Nonlinear optical phenomena are typically local. Here we predict the possibility of highly nonlocal optical nonlinearities for light propagating in atomic media trapped near a nano-waveguide, where long-range interactions between the atoms can be tailored. When the atoms are in an electromagnetically-induced transparency configuration, the atomic interactions are translated to long-range interactions between photons and thus to highly nonlocal optical nonlinearities. We derive and analyze the governing nonlinear propagation equation, finding a roton-like excitation spectrum for light and the emergence of order in its output intensity. These predictions open the door to studies of unexplored wave dynamics and many-body physics with highly-nonlocal interactions of optical fields in one dimension.

16 pages, including appendices and 5 figures

References in corpus (17)

• Statistical mechanics and dynamics of solvable models with long-range interactions
• Quantum technologies with hybrid systems
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Photon-mediated interactions between distant artificial atoms
• Subwavelength vacuum lattices and atom-atom interactions in photonic crystals
• Single Photon Transistor Mediated by Inter-State Rydberg Interaction
• Storage and control of optical photons using Rydberg polaritons
• Roton-type mode softening in a quantum gas with cavity-mediated long-range interactions
• Single-Photon Transistor Using a Förster Resonance
• Observation of Dicke Superradiance for Two Artificial Atoms in a Cavity with High Decay Rate
• Long-range interactions and entanglement of slow single-photon pulses
• Demonstration of a memory for tightly guided light in an optical nanofiber
• Quantum dynamics of propagating photons with strong interactions: a generalized input-output formalism
• Nonlocal stabilization of nonlinear beams in a self-focusing atomic vapor
• Storage of fiber-guided light in a nanofiber-trapped ensemble of cold atoms
• Strongly interacting photons in hollow-core waveguides
• Inhomogeneous broadening of optical transitions of 87Rb atoms in an optical nanofiber trap

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