Self-ordering and collective dynamics of transversely illuminated point-scatterers in a 1D trap

Abstract

We study point-like polarizable particles confined in a 1D very elongated trap within the evanescent field of an optical nano-fiber or nano-structure. When illuminated transversely by coherent light, collective light scattering into propagating fiber modes induces long range interactions and eventually crystallisation of the particles into regular order. We develop a simple and intuitive scattering-matrix based approach to study these long-range interactions by collective scattering and the resulting light-induced self-ordering. For few particles we derive explicit conditions for self-consistent stable ordering. In the purely dispersive limit with negligible back-scattering, we recover the prediction of an equidistant lattice as previously found for effective dipole-dipole interaction models. We generalize our model to experimentally more realistic configurations including backscattering, absorption and a directional scattering asymmetry. For larger particle ensembles the resulting self-consistent particle-field equations can be numerically solved to study the formation of long-range order and stability limits.

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Cited by in corpus (11)

• Chiral Quantum Optics
• Observation of strong and tunable light-induced dipole-dipole interactions between optically levitated nanoparticles
• Optical Nanofibers: a new platform for quantum optics
• Directional spontaneous emission and lateral Casimir-Polder force on an atom close to a nanofiber
• Imaging and localizing individual atoms interfaced with a nanophotonic waveguide
• Nonlinear force dependence on optically bound micro-particle arrays in the eva-nescent fields of fundamental and higher order microfibre modes
• Electromagnetically induced transparency for guided light in an atomic array outside an optical nanofiber
• Self-organization of atoms coupled to a chiral reservoir
• Tailored long range forces on polarizable particles by collective scattering of broadband radiation
• Collective scattering and oscillation modes of optically bound point particles trapped in a single mode waveguide field
• Synthesizing variable particle interaction potentials via spectrally shaped spatially coherent illumination