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

中文翻译：

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光子晶格中的合成均场相互作用

摘要

通常认为光子晶格受其缺乏包括相互作用的方法的限制。我们通过引入光子晶格外部的光学组件引入均场相互作用来解决此问题。提出的实现均值场相互作用光子晶格的技术依赖于完整哈密顿量unit演化的Suzuki-Trotter分解。该技术本着数字量子模拟的精神，以类似于量子动力学的逐步数值实现的方式来实现动力学。这是一种非常通用的技术，它可以模拟不仅依赖于粒子间分离或不随粒子分离而衰减的相互作用。我们详细介绍了拟议的实验方案，并考虑了相互作用现象的两个例子，

图形概要