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.
Similar content being viewed by others
References
A.M. Chang, L.N. Pfeiffer, K.W. West, Phys. Rev. Lett. 77, 2538 (1996)
Z. Yao, H.W.C. Postma, L. Balents, C. Dekker, Nature 402, 273 (1999)
M. Bockrath, D.H. Cobden, J. Lu, A.G. Rinzler, R.E. Smalley, L. Balents, P.L. McEuen, Nature 397, 598 (1999)
A.N. Aleshin, H.J. Lee, Y.W. Park, K. Akagi, Phys. Rev. Lett. 93, 196601 (2000)
S.V. Zaitsev-Zotov, Y.A. Kumzerov, Y.A. Firsov, P. Monceau, J. Phys. Conden. Matter 12, L303 (2000)
M.A. Cazalilla, R. Citro, T. Giamarchi, E. Orignac, M. Rigol, Rev. Mod. Phys. 83, 1405 (2011)
M. Boninsegni, A.B. Kuklov, L. Pollet, N.V. Prokof’ev, B.V. Svistunov, M. Troyer, Phys. Rev. Lett. 99, 035301 (2007)
Y. Vekhov, R.B. Hallock, Phys. Rev. Lett. 109, 045303 (2012)
Y. Vekhov, R.B. Hallock, Phys. Rev. B 90, 134511 (2014)
N. Wada, J. Taniguchi, H. Ikegami, S. Inagaki, Y. Fukushima, Phys. Rev. Lett. 86, 4322 (2001)
N. Wada, M.W. Cole, J. Phys. Soc. Jpn. 77, 111012 (2008)
K. Yamashita, D.S. Hirashima, Phys. Rev. B 79, 14501 (2009)
A. Del Maestro, I. Affleck, Phys. Rev. B 82, 060515 (2010)
A. Del Maestro, M. Boninsegni, I. Affleck, Phys. Rev. Lett. 106, 105303 (2011)
T. Matsushita, A. Shinohara, M. Hieda, N. Wada, J. Low Temp. Phys. 183, 273 (2015)
S.-I. Tomonaga, Prog. Theor. Phys. 5, 544 (1950)
J.M. Luttinger, J. Math. Phys. 4, 1154 (1963)
F.D.M. Haldane, Phys. Rev. Lett. 47, 1840 (1981)
N.D. Mermin, H. Wagner, Phys. Rev. Lett. 17, 1133 (1966)
A.J. Leggett, Rev. Mod. Phys. 71, 318 (1999)
T. Eggel, M.A. Cazalilla, M. Oshikawa, Phys. Rev. Lett. 107, 275302 (2011)
L.D. Landau, Zh Eksp, Teor. Fiz. 11, 592 (1941)
L.D. Landau, Zh Eksp, Teor. Fiz. 17, 91 (1947)
J. Taniguchi, Y. Aoki, M. Suzuki, Phys. Rev. B 82, 104509 (2010)
J. Taniguchi, R. Fujii, M. Suzuki, Phys. Rev. B 84, 134511 (2011)
F. Dalfovo, A. Lastri, L. Pricoupenko, S. Stringari, J. Treiner, Phys. Rev. B 52, 1193 (1995)
T. Minoguchi, D.E. Galli, J. Low Temp. Phys. 162, 160 (2011)
T. Minoguchi, D.E. Galli, M. Rossi, A. Yoshimori, J. Phys. Conf. Ser. 400, 012050 (2012)
T. Minoguchi, M. Nava, F. Tramonto, D.E. Galli, J. Low Temp. Phys. 171, 259 (2013)
G. Bertaina, M. Motta, M. Rossi, E. Vitali, D.E. Galli, Phys. Rev. Lett. 116, 135302 (2016)
E. Vitali, M. Rossi, L. Reatto, D.E. Galli, Phys. Rev. B 82, 174510 (2010)
M. Rossi, E. Vitali, L. Reatto, D.E. Galli, Phys. Rev. B 85, 014525 (2012)
M. Nava, D.E. Galli, M.W. Cole, L. Reatto, J. Low Temp. Phys. 171, 699 (2013)
M. Nava, D.E. Galli, S. Moroni, E. Vitali, Phys. Rev. B 87, 144506 (2013)
F. Arrigoni, E. Vitali, D.E. Galli, L. Reatto, Low Temp. Phys. 39, 1021 (2013)
R. Rota, F. Tramonto, D.E. Galli, S. Giorgini, Phys. Rev. B 88, 214505 (2013)
R. Rota, F. Tramonto, D.E. Galli, S. Giorgini, J. Phys. Conf. Ser. 529, 012022 (2014)
S. Molinelli, D.E. Galli, L. Reatto, M. Motta, J. Low Temp. Phys. 185, 39 (2016)
A. Sarsa, K.E. Schmidt, W.R. Magro, J. Chem. Phys. 113, 1366 (2000)
D.E. Galli, L. Reatto, Mol. Phys. 101, 1697 (2003)
M. Rossi, M. Nava, L. Reatto, D.E. Galli, J. Chem. Phys. 131, 154108 (2009)
A.Y. Cherny, J.S. Caux, J. Brand, Front. Phys. 7, 54 (2012)
M. Motta, E. Vitali, M. Rossi, D.E. Galli, G. Bertaina, Phys. Rev. A 94, 043627 (2016)
M. Kalos, D. Levesque, L. Verlet, Phys. Rev. A 9, 2178 (1974)
G.E. Astrakharchik, L.P. Pitaevskii, Phys. Rev. A 70, 013608 (2004)
T. Giamarchi, H.J. Schulz, Phys. Rev. B 37, 325 (1988)
D.E. Galli, L. Reatto, J. Phys. Soc. Jpn. 77, 111010 (2008)
M.H.W. Chan, R.B. Hallock, L. Reatto, J. Low Temp. Phys. 172, 317 (2013)
G. Sugiyama, C. Bowen, B.J. Alder, Phys. Rev. B 46, 13042 (1992)
C. Bowen, G. Sugiyama, B.J. Alder, Phys. Rev. B 50, 14838 (1994)
S. Moroni, D.M. Ceperley, G. Senatore, Phys. Rev. Lett. 75, 689 (1995)
S. De Palo, S. Conti, S. Moroni, Phys. Rev. B 69, 035109 (2003)
F. Caupin, J. Boronat, K.H. Andersen, J. Low Temp. Phys. 152, 108 (2008)
A. Luther, I. Peschel, Phys. Rev. B 9, 2911 (1974)
A.H. Castro Neto, H.Q. Lin, Y.-H. Chen, J.M.P. Carmelo, Phys. Rev. B 50, 14032 (1994)
F. Mazzanti, G.E. Astrakharchik, J. Boronat, J. Casulleras, Phys. Rev. Lett. 100, 20401 (2008)
G.F. Giuliani, G. Vignale, Quantum Theory of the Electron Liquid (Cambridge University Press, Cambridge, 2005)
M. Motta, D.E. Galli, S. Moroni, E. Vitali, J. Chem. Phys. 143, 164108 (2015)
H. Ikegami, Y. Yamato, T. Okuno, J. Taniguchi, N. Wada, S. Inagaki, Y. Fukushima, Phys. Rev. B 76, 144503 (2007)
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).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Motta, M., Bertaina, G., Vitali, E. et al. Linear Response of One-Dimensional Liquid \(^4\hbox {He}\) to External Perturbations. J Low Temp Phys 187, 419–426 (2017). https://doi.org/10.1007/s10909-016-1704-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10909-016-1704-8