Synthetic mean-field interactions in photonic lattices
arXiv:1909.07385 · doi:10.1140/epjd/e2020-100521-0
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.
arXiv comment7 pages, 5 figures, comments welcome
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Cited by in corpus (4)
- Floquet-engineered nonlinearities and controllable pair-hopping processes: From optical Kerr cavities to correlated quantum matter
- Floquet engineering of optical nonlinearities: a quantum many-body approach
- Synthetic Mechanical Lattices with Synthetic Interactions
- The gauge coupled two-body problem in a ring