Marco Mattioli, Marcello Dalmonte, Wolfgang Lechner, Guido Pupillo
We investigate the zero-temperature phases of hard-core bosonic and fermionic gases confined to one dimension and interacting via a class of finite-range soft-core potentials. Using a combination of analytical and numerical methods, we demonstrate the stabilization of critical quantum liquids with qualitatively new features with respect to the Tomonaga-Luttinger liquid paradigm. These features result from frustration and cluster formation in the corresponding classical ground state. Characteristic signatures of these liquids are accessible in state-of-the-art experimental setups with Rydberg-dressed ground state atoms trapped in optical lattices.
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http://arxiv.org/abs/1304.3012
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