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In this article, a method is proposed to spatially scale up a trapped ultracold gas while conserving the quantum correlations of the initial many-body state.
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Note that this scaling is exclusive of the limit with hard-core interactions, and that when the initial state is a Lieb-Liniger gas with finite-coupling constant, there is a breakdown of the scaling law during a 1D expansion, and only in a late stage, as the decreasing density brings the system effectively into the Tonks-Girardeau regime, the dynamics becomes self-similar [ 5 ] . Nonetheless, it is possible to induce a self-similar dynamics on a Bose gas with finite time-dependent contact interactions whenever ϵ ( t ) = 1 / b ( t ) \epsilon(t)=1/b(t)
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