Dynamical structure factor of one-dimensional hard rods

作者：Motta M; Vitali E; Rossi M; Galli D E; Bertaina G

来源：Physical Review A, 2016, 94(4): 043627.

DOI：10.1103/PhysRevA.94.043627

The zero-temperature dynamical structure factor S(q,omega) 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,omega) 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,omega) extends beyond the low-energy limit and confirms a theoretical prediction regarding the behavior of S(q,omega) at specific wave vectors Q(n) = n2 pi/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 He-4 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.

• 出版日期2016-10-13