Figure 1: A 1D array of degenerate cavities for simulating a 2D rectangular lattice in a magnetic field.
From: Quantum simulation of 2D topological physics in a 1D array of optical cavities
(a) The optical design for simulating 
. Each main cavity has an auxiliary cavity consisting of two BSs (
and 
) and two SLMs (
and 
). There is also a coupling cavity (made of 
and 
) between adjacent main cavities (It can be replaced with a simple BS to reduce the number of optical elements in experiments). The length of both the auxiliary and coupling cavity is chosen for destructive interference, and most light remains in the main cavity. The cavities at the two ends of the array can be coupled to realize periodic boundary condition, or uncoupled for open boundary condition. (b) Mapping of the 1D simulator array in (a) to a 2D rectangular lattice in a magnetic field. (c) The coupling cavity (left) for simulating 
and the optical design (right) for the beam rotators BR1 and BR2 with opposite rotation angles ±ϑ=±2πφ0. The main cavity and auxiliary cavity require no modification, except that the phase difference between the arms containing the SLMs is set to 0.
