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Many-body gap as a function of K / J and interplaquette coupling J '/ J for U / J = 10, as simulated using DMRG. The solid purple arrows indicate the paths taken by the rung and plaquette coupling sequences to prepare the example Meissner state in b and c , denoted by the black star. The green arrows show the path for the preparation of a vortex state with the plaquette sequence, circumventing the gap closing (white triangle).
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