Journal of Low Temperature Physics

, Volume 187, Issue 5–6, pp 419–426 | Cite as

Linear Response of One-Dimensional Liquid \(^4\hbox {He}\) to External Perturbations

  • M. Motta
  • G. Bertaina
  • E. Vitali
  • D. E. Galli
  • M. Rossi
Article

Abstract

We study the response of one-dimensional liquid \(^4\hbox {He}\) to weak perturbations relying on the dynamical structure factor, \(S(q,\omega )\), recently obtained via ab-initio techniques (Bertaina et al. in Phys Rev Lett 116:135302, 2016). We evaluate the drag force, \(F_\mathrm{v}\), experienced by an impurity moving along the system with velocity v and the static response function, \(\chi (q)\), describing the density modulations induced by a periodic perturbation with wave vector q.

Keywords

Luttinger liquid One-dimensional superfluidity Helium Drag force Static density response function 

Notes

Acknowledgements

We acknowledge the CINECA and the Regione Lombardia Award LI03p-UltraQMC, under the LISA initiative, for the availability of high-performance computing resources and support. M.M. and E.V. acknowledge support from the Simons Foundation and NSF (Grant No. DMR-1409510). M.R. acknowledges the EU Horizon 2020 FET QUIC project for fundings. G.B. acknowledges support from the University of Milan through Grant No. 620, Linea 2 (2015).

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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Department of PhysicsThe College of William and MaryWilliamsburgUSA
  2. 2.Dipartimento di FisicaUniversità degli Studi di MilanoMilanItaly
  3. 3.Scuola Normale SuperiorePisaItaly
  4. 4.International Center for Theoretical Physics (ICTP)TriesteItaly

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