A versatile quantum simulator for coupled oscillators using a 1D chain of atoms trapped near an optical nanofiber
Daniela Holzmann, Matthias Sonnleitner, Helmut Ritsch

TL;DR
This paper proposes a quantum simulator using a chain of atoms near an optical nanofiber, enabling controllable all-to-all interactions and quantum gate implementation for coupled oscillators.
Contribution
It introduces a versatile, laser-controlled quantum simulation platform based on nanofiber-trapped atoms for emulating various interaction geometries.
Findings
High-precision emulation of Coulomb-like interactions
Implementation of quantum gates between oscillator pairs
Continuous monitoring via fiber field analysis
Abstract
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…
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