A simulated moving bed (SMB) separation device comprises at least one column, beds of adsorbent arranged in this column, trays Pi with a chamber Ci for distribution and extraction of fluids, a multi-way rotary valve for the distribution of the fluids feeding or leaving said trays, and junction lines Li between this valve and said trays. The SMB device also comprises a plurality of bypass lines Li,i+1 between adjacent lines, these bypasses being outside the multi-way rotary valve and situated in proximity to this valve, for the circulation of rinsing liquids with a small or zero concentration gradient. The invention makes it possible to use all types of distribution and extraction trays and all types of adsorbent loading, while preserving a high level of product purity. Application of the separation devices is in particular to the separation of paraxylene or metaxylene from a C8 aromatic charge.