Self-ordering and collective dynamics of transversely illuminated point-scatterers in a 1D trap
Institute for Theoretical Physics, University of
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Received in final form: 7 October 2014
Published online: 21 November 2014
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 crystallization 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.
Key words: Quantum Optics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2014