Abstract
We study the physics of soft-core bosons at zero temperature in two dimensions for a class of potentials that could be realised in experiments with Rydberg dressed Bose-Einstein condensates. We analyze the ground state properties of the system in detail and provide a complete description of the excitation spectra in both superfluid, supersolid and crystalline phase for a wide range of interaction strengths and densities. In addition we describe a method to extract the transverse gapless excitation modes in the phases with broken translational symmetry within the framework of path integral Monte Carlo methods.
Similar content being viewed by others
References
I. Bloch, J. Dalibard, W. Zwerger, Rev. Mod. Phys. 80, 885 (2008)
T. Lahaye, C. Menotti, L. Santos, M. Lewenstein, T. Pfau, Rep. Prog. Phys. 72(12), 126401 (2009)
M. Saffman, T.G. Walker, K. Mølmer, Rev. Mod. Phys. 82, 2313 (2010)
A. Micheli, G. Pupillo, H.P. Büchler, P. Zoller, Phys. Rev. A 76(4), 043604 (2007)
M.A. Baranov, M. Dalmonte, G. Pupillo, P. Zoller, Chem. Rev. 112(9), 5012 (2012)
G. Pupillo, A. Micheli, H.P. Büchler, P. Zoller, in Cold Molecules: Creation and Applications, ed. by R.V. Krems, B. Friedrich, W.C. Stwalley (Taylor and Francis, 2008)
P. Schauß, M. Cheneau, M. Endres, T. Fukuhara, S. Hild, A. Omran, T. Pohl, C. Gross, S. Kuhr, I. Bloch, Nature 491(7422), 87 (2012)
M. Boninsegni, N.V. Prokof’ev, Rev. Mod. Phys. 84, 759 (2012)
A.F. Andreev, I.M. Lifshitz, Sov. Phys. Jetp-USSR 29(6), 1107 (1969)
G.V. Chester, Phys. Rev. A 2(1), 256 (1970)
A.J. Leggett, Phys. Rev. Lett. 25, 1543 (1970)
M.W. Meisel, Phys. B 178(1–4), 121 (1992)
E. Kim, M.H.W. Chan, Nature 427(6), 225 (2004)
E. Kim, M.H.W. Chan, Science 305(6), 1941 (2004)
D.Y. Kim, M.H.W. Chan, Phys. Rev. Lett. 109, 155301 (2012)
N. Henkel, R. Nath, T. Pohl, Phys. Rev. Lett. 104(19), 195302 (2010)
G. Pupillo, A. Micheli, M. Boninsegni, I. Lesanovsky, P. Zoller, Phys. Rev. Lett. 104(22), 223002 (2010)
M.D. Lukin, M. Fleischhauer, R. Cote, L.M. Duan, D. Jaksch, J.I. Cirac, P. Zoller, Phys. Rev. Lett. 87, 037901 (2001)
F. Cinti, P. Jain, M. Boninsegni, A. Micheli, P. Zoller, G. Pupillo, Phys. Rev. Lett. 105(13), 135301 (2010)
F. Ancilotto, M. Rossi, F. Toigo, Phys. Rev. A 88, 033618 (2013)
Y. Pomeau, S. Rica, Phys. Rev. Lett. 72(15), 2426 (1994)
T. Macrì, F. Maucher, F. Cinti, T. Pohl, Phys. Rev. A 87, 061602 (2013)
F. Cinti, T. Macrì, W. Lechner, G. Pupillo, T. Pohl, Nat. Commun. 5, 3235 (2014)
S. Saccani, S. Moroni, M. Boninsegni, Phys. Rev. Lett. 108, 175301 (2012)
E. Vitali, M. Rossi, L. Reatto, D.E. Galli, Phys. Rev. B 82, 174510 (2010)
Y. Pomeau, S. Rica, Phys. Rev. Lett. 72, 2426 (1994)
M. Kunimi, Y. Kato, Phys. Rev. B 86, 060510 (2012)
D.M. Ceperley, Rev. Mod. Phys. 67(2), 279 (1995)
M. Boninsegni, N. Prokof’ev, B. Svistunov, Phys. Rev. Lett. 96(7), 070601 (2006)
M. Boninsegni, N.V. Prokof’ev, B.V. Svistunov, Phys. Rev. E 74(3), 036701 (2006)
M. Jarrell, J.E. Gubernatis, Phys. Rep. 269(3), 133 (1996)
E.L. Pollock, D.M. Ceperley, Phys. Rev. B 36, 8343 (1987)
G. Carleo, G. Boéris, M. Holzmann, L. Sanchez-Palencia, Phys. Rev. Lett. 111, 050406 (2013)
C. Pethick, H. Smith, Bose–Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, 2002)
I.S. Gradshteyn, I.M. Ryzhik, Table of Integrals, Series, and Products, 7th edn. (Elsevier/Academic Press, Amsterdam, 2007)
M. Schick, Phys. Rev. A 3, 1067 (1971)
S. Pilati, J. Boronat, J. Casulleras, S. Giorgini, Phys. Rev. A 71, 023605 (2005)
F. Maucher, N. Henkel, M. Saffman, W. Królikowski, S. Skupin, T. Pohl, Phys. Rev. Lett. 106, 170401 (2011)
D.M. Stamper-Kurn, A.P. Chikkatur, A. Görlitz, S. Inouye, S. Gupta, D.E. Pritchard, W. Ketterle, Phys. Rev. Lett. 83, 2876 (1999)
J. Steinhauer, R. Ozeri, N. Katz, N. Davidson, Phys. Rev. Lett. 88, 120407 (2002)
D. Clément, N. Fabbri, L. Fallani, C. Fort, M. Inguscio, J. Temp. Phys. 158(1–2), 5 (2010)
S.B. Papp, J.M. Pino, R.J. Wild, S. Ronen, C.E. Wieman, D.S. Jin, E.A. Cornell, Phys. Rev. Lett. 101, 135301 (2008)
D. Clément, N. Fabbri, L. Fallani, C. Fort, M. Inguscio, Phys. Rev. Lett. 102, 155301 (2009)
T.L. Dao, A. Georges, J. Dalibard, C. Salomon, I. Carusotto, Phys. Rev. Lett. 98, 240402 (2007)
Acknowledgments
We acknowledge M. Boninsegni, G. Carleo, S. Moroni, and T. Pohl for valuable discussions.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Macrì, T., Saccani, S. & Cinti, F. Ground State and Excitation Properties of Soft-Core Bosons. J Low Temp Phys 177, 59–71 (2014). https://doi.org/10.1007/s10909-014-1192-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10909-014-1192-7