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arXiv · 1511.00595

Engineering Photonic Floquet Hamiltonians through Fabry Pérot Resonators

Ariel Sommer·Jonathan Simon
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Abstract

In this letter we analyze an optical Fabry-Pérot resonator as a time-periodic driving of the (2D) optical field repeatedly traversing the resonator, uncovering that resonator twist produces a synthetic magnetic field applied to the light within the resonator, while mirror aberrations produce relativistic dynamics, anharmonic trapping, and spacetime curvature. We develop a Floquet formalism to compute the effective Hamiltonian for the 2D field, generalizing the idea that the intra-cavity optical field corresponds to an ensemble of non-interacting, massive, harmonically trapped particles. This work illuminates the extraordinary potential of optical resonators for exploring the physics of quantum fluids in gauge fields and exotic space-times.

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cond-mat.quant-gasphysics.opticsquant-ph

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Ariel Sommer, Jonathan Simon. 2015-11-02. Engineering Photonic Floquet Hamiltonians through Fabry Pérot Resonators. https://doi.org/10.1088/1367-2630%2F18%2F3%2F035008

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