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.
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Contribution to the Topical Issue “Topological Ultracold Atoms and Photonic Systems” edited by G. Juzeliūnas, R. Ma, Y.-J. Lin and T. Calarco.
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Duncan, C.W., Hartmann, M.J., Thomson, R.R. et al. Synthetic mean-field interactions in photonic lattices. Eur. Phys. J. D 74, 84 (2020). https://doi.org/10.1140/epjd/e2020-100521-0
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DOI: https://doi.org/10.1140/epjd/e2020-100521-0