title: One-Dimensional Liquid ^{4}He: Dynamical Properties beyond Luttinger-Liquid Theory.
abstract: We compute the zero-temperature dynamical structure factor of one-dimensional liquid ^{4}He by means of state-of-the-art quantum Monte Carlo and analytic continuation techniques. By increasing the density, the dynamical structure factor reveals a transition from a highly compressible critical liquid to a quasisolid regime. In the low-energy limit, the dynamical structure factor can be described by the quantum hydrodynamic Luttinger-liquid theory, with a Luttinger parameter spanning all possible values by increasing the density. At higher energies, our approach provides quantitative results beyond the Luttinger-liquid theory. In particular, as the density increases, the interplay between dimensionality and interaction makes the dynamical structure factor manifest a pseudo-particle-hole continuum typical of fermionic systems. At the low-energy boundary of such a region and moderate densities, we find consistency, within statistical uncertainties, with predictions of a power-law structure by the recently developed nonlinear Luttinger-liquid theory. In the quasisolid regime, we observe a novel behavior at intermediate momenta, which can be described by new analytical relations that we derive for the hard-rods model.
authors.affiliation: Dipartimento di Fisica, Università degli Studi di Milano, via Celoria 16, I-20133 Milano, Italy.
authors.forename: G
authors.initials: G
authors.lastname: Bertaina
authors.affiliation: Department of Physics, The College of William and Mary, Williamsburg, Virginia 23187, USA.
authors.forename: M
authors.initials: M
authors.lastname: Motta
authors.affiliation: Scuola Normale Superiore, Piazza dei Cavalieri 7, I-56126 Pisa, Italy.|International Center for Theoretical Physics (ICTP), Strada Costiera 11, I-34154 Trieste, Italy.|Dipartimento di Fisica e Astronomia, Università degli Studi di Padova, via Marzolo 8, I-35131 Padova, Italy.
authors.forename: M
authors.initials: M
authors.lastname: Rossi
authors.affiliation: Department of Physics, The College of William and Mary, Williamsburg, Virginia 23187, USA.
authors.forename: E
authors.initials: E
authors.lastname: Vitali
authors.affiliation: Dipartimento di Fisica, Università degli Studi di Milano, via Celoria 16, I-20133 Milano, Italy.
authors.forename: D E
authors.initials: DE
authors.lastname: Galli