Long-range interactions in a quantum gas mediated by diffracted light

• URL: http://arxiv.org/abs/2307.05398v1
• Date: Tue, 11 Jul 2023 15:59:12 GMT
• Title: Long-range interactions in a quantum gas mediated by diffracted light
• Authors: Gordon Robb, Josh Walker, Gian-Luca Oppo and Thorsten Ackemann
• Abstract summary: A BEC interacting with an optical field via a feedback mirror can be a realisation of the quantum Hamiltonian Mean Field model. For weakly driven self-structuring, the BEC and optical field behave as a two-state quantum system. Optical diffraction-mediated interactions between atoms in a BEC may be a route to experimental realisation of quantum HMF dynamics.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: A BEC interacting with an optical field via a feedback mirror can be a realisation of the quantum Hamiltonian Mean Field (HMF) model, a paradigmatic model of long-range interactions in quantum systems. We demonstrate that the self-structuring instability displayed by an initially uniform BEC can evolve as predicted by the quantum HMF model, displaying quasiperiodic "chevron" dynamics for strong driving. For weakly driven self-structuring, the BEC and optical field behave as a two-state quantum system, regularly oscillating between a spatially uniform state and a spatially periodic state. It also predicts the width of stable optomechanical droplets and the dependence of droplet width on optical pump intensity. The results presented suggest that optical diffraction-mediated interactions between atoms in a BEC may be a route to experimental realisation of quantum HMF dynamics and a useful analogue for studying quantum systems involving long-range interactions.

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