Synthetic mean-field interactions in photonic lattices

Callum W. Duncan, Michael J. Hartmann, Robert R. Thomson, Patrik Öhberg

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Abstract

Abstract: Photonic lattices are usually considered to be limited by their lack of methods to include interactions. We address this issue by introducing mean-field interactions through optical components which are external to the photonic lattice. The proposed technique to realise mean-field interacting photonic lattices relies on a Suzuki-Trotter decomposition of the unitary evolution for the full Hamiltonian. The technique realises the dynamics in an analogous way to that of a step-wise numerical implementation of quantum dynamics, in the spirit of digital quantum simulation. It is a very versatile technique which allows for the emulation of interactions that do not only depend on inter-particle separations or do not decay with particle separation. We detail the proposed experimental scheme and consider two examples of interacting phenomena, self-trapping and the decay of Bloch oscillations, that are observable with the proposed technique. Graphical abstract: [Figure not available: see fulltext.]

Original languageEnglish
Article number84
JournalEuropean Physical Journal D
Volume74
Issue number5
DOIs
Publication statusPublished - 1 May 2020

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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