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The pressure effects on the antiferromagentic orders in iron-based laddercompounds CsFe$_2$Se$_3$ and BaFe$_2$S$_3$ have been studied using neutrondiffraction. With identical crystal structure and similar magnetic structures,the two compounds exhibit highly contrasting magnetic behaviors under moderateexternal pressures. In CsFe$_2$Se$_3$ the ladders are brought much closer toeach other by pressure, but the stripe-type magnetic order shows no observablechange. In contrast, the stripe order in BaFe$_2$S$_3$, undergoes a quantumphase transition where an abrupt increase of N$\acute{e}$el temperature by morethan 50$\%$ occurs at about 1 GPa, accompanied by a jump in the ordered moment.With its spin structure unchanged, BaFe$_2$S$_3$ enters an enhanced magneticphase that bears the characteristics of an orbital selective Mott phase, whichis the true neighbor of superconductivity emerging at higher pressures.

The magnetic precursor of the pressure-induced superconductivity in Fe-ladder compound