Synthetic mean-field interactions in photonic lattices
Duncan CW, Hartmann M, Thomson RR, Öhberg P (2020)
Publication Type: Journal article
Publication year: 2020
Journal
Book Volume: 74
Article Number: 84
Journal Issue: 5
DOI: 10.1140/epjd/e2020-100521-0
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.]
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APA:
Duncan, C.W., Hartmann, M., Thomson, R.R., & Öhberg, P. (2020). Synthetic mean-field interactions in photonic lattices. European Physical Journal D, 74(5). https://doi.org/10.1140/epjd/e2020-100521-0
MLA:
Duncan, Callum W., et al. "Synthetic mean-field interactions in photonic lattices." European Physical Journal D 74.5 (2020).
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