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EnglishThe 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.
| Titolo: | Dynamical structure factor of one-dimensional hard rods | |
| Autori: | ||
| Data di pubblicazione: | 2016 | |
| Rivista: | PHYSICAL REVIEW A | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1103/PhysRevA.94.043627 | |
| Abstract: | The zero-temperature dynamical structure factor S(q,w) of one-dimensional hard rods is computed u...sing 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. | |
| Full-text (pubblici): | partially_open | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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http://hdl.handle.net/11696/60825
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