The zero-temperature dynamical structure factor S(q,w) of one-dimensional hard rods is computed using state-of-the-art quantum Monte Carlo and analytic continuation techniques, complemented by a Bethe ansatz analysis. As the density increases, S(q,w) reveals a crossover from the Tonks-Girardeau gas to a quasisolid regime, along which the low-energy properties are found in agreement with the nonlinear Luttinger liquid theory. Our quantitative estimate of S(q,w) extends beyond the low-energy limit and confirms a theoretical prediction regarding the behavior of S(q,w) at specific wave vectors Qn=n2π/a, where a is the core radius, resulting from the interplay of the particle-hole boundaries of suitably rescaled ideal Fermi gases. We observe significant similarities between hard rods and one-dimensional He4 at high density, suggesting that the hard-rods model may provide an accurate description of dense one-dimensional liquids of quantum particles interacting through a strongly repulsive, finite-range potential.

Dynamical structure factor of one-dimensional hard rods / Motta, M.; Vitali, E.; Rossi, M.; Galli, D. E.; Bertaina, G.. - In: PHYSICAL REVIEW A. - ISSN 2469-9926. - 94:4(2016), p. 043627. [10.1103/PhysRevA.94.043627]

Dynamical structure factor of one-dimensional hard rods

Bertaina, G.
2016

Abstract

The zero-temperature dynamical structure factor S(q,w) of one-dimensional hard rods is computed using state-of-the-art quantum Monte Carlo and analytic continuation techniques, complemented by a Bethe ansatz analysis. As the density increases, S(q,w) reveals a crossover from the Tonks-Girardeau gas to a quasisolid regime, along which the low-energy properties are found in agreement with the nonlinear Luttinger liquid theory. Our quantitative estimate of S(q,w) extends beyond the low-energy limit and confirms a theoretical prediction regarding the behavior of S(q,w) at specific wave vectors Qn=n2π/a, where a is the core radius, resulting from the interplay of the particle-hole boundaries of suitably rescaled ideal Fermi gases. We observe significant similarities between hard rods and one-dimensional He4 at high density, suggesting that the hard-rods model may provide an accurate description of dense one-dimensional liquids of quantum particles interacting through a strongly repulsive, finite-range potential.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11696/60825
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