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Energy gaps in quantum first-order mean-field-like transitions: The problems that quantum annealing cannot solve PACS 05.30.-d – Quantum statistical mechanics PACS 05.70.Fh – Phase transitions: general studies Abstract.-We study first-order quantum phase transitions in models where the mean-field traitment is exact, and the exponentially fast closure of the(More)
Two methods for reconstructing the free-energy landscape of a DNA molecule from the knowledge of the equilibrium unzipping force versus extension signal are introduced: a simple and fast procedure, based on a parametric representation of the experimental force signal, and a maximum-likelihood inference of coarse-grained free-energy parameters. In addition,(More)
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