  The transversely confined propagating light modes of a nano-photonic optical
waveguide or nanofiber can mediate effectively infinite-range forces. We show
that for a linear chain of particles trapped within the waveguide's evanescent
field, transverse illumination with a suitable set of laser frequencies should
allow the implementation of a coupled-oscillator quantum simulator with
time-dependent and widely controllable all-to-all interactions. At the example
of the energy spectrum of oscillators with simulated Coulomb interactions we
show that different effective coupling geometries can be emulated with high
precision by proper choice of laser illumination conditions. Similarly, basic
quantum gates can be selectively implemented between arbitrarily chosen pairs
of oscillators in the energy basis as well as in a coherent-state basis. Key
properties of the system dynamics and states can be monitored continuously by
analysis of the out-coupled fiber fields.
