Abstract
By performing exact quantum Monte Carlo simulations, we study the momentum distribution of the supersolid state in the two-dimensional extended Bose-Hubbard model with the nearest-neighbor repulsion. For strong nearest-neighbor repulsions, the supersolid state is stable in a broad region up to large hopping amplitudes and high particle densities. In the supersolid state, the momentum distribution shows a bimodal structure with two peaks related to the superfluidity and solidity respectively. By our calculations, we show that the bimodal structure becomes clearer as the chemical potential (or the particle density) is increased.
Similar content being viewed by others
References
M. Greiner, O. Mandel, T. Esslinger, T.W. Hänsch, I. Bloch, Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms. Nature 415, 39 (2002)
J.M. Sage, S. Sainis, T. Bergeman, D. DeMille, Optical production of ultracold polar molecules. Phys. Rev. Lett. 94, 203001 (2005)
K.-K. Ni, S. Ospelkaus, M.H.G. Miranda, A. Peer, B. Neyenhuis, J.J. Zirbel, S. Kotochigova, P.S. Julienne, D.S. Jin, J. Ye, A high phase-space-density gas of polar molecules. Science 322, 231 (2008)
S. Ospelkaus, A. Péer, J.J. Zirbel, B. Neyenhuis, S. Kotochigova, P.S. Julienne, J. Ye, D.S. Jin, Efficient state transfer in an ultracold dense gas of heteronuclear molecules. Nat. Phys. 4, 622 (2008)
D. Jaksch, C. Bruder, J.I. Cirac, C.W. Gardiner, P. Zoller, Cold bosonic atoms in optical lattices. Phys. Rev. Lett. 81, 3108 (1998)
S. Wessel, M. Troyer, Supersolid hard-core bosons on the triangular lattice. Phys. Rev. Lett. 95, 127205 (2005)
M. Boninsegni, N. Prokof’ev, Supersolid phase of hard-core bosons on a triangular lattice. Phys. Rev. Lett. 95, 237204 (2005)
P. Sengupta, L.P. Pryadko, F. Alet, M. Troyer, G. Schmid, Supersolid versus phase separation in two-dimensional lattice bosons. Phys. Rev. Lett. 94, 207202 (2005)
I. Danshita, C.A.R. Sá de Melo, Stability of superfluid and supersolid phases of dipolar bosons in optical lattices. Phys. Rev. Lett. 103, 225301 (2009)
L. Pollet, J.D. Picon, H.P. Büchler, M. Troyer, Supersolid phase with cold polar molecules on a triangular lattice. Phys. Rev. Lett. 104, 125302 (2010)
B. Capogrosso-Sansone, C. Trefzger, M. Lewenstein, P. Zoller, G. Pupillo, Quantum phases of cold polar molecules in 2d optical lattices. Phys. Rev. Lett. 104, 125301 (2010)
M. Iskin, Route to supersolidity for the extended Bose-Hubbard model. Phys. Rev. A 83, 051606(R) (2011)
T. Ohgoe, T. Suzuki, N. Kawashima, Commensurate supersolid of three-dimensional lattice bosons. Phys. Rev. Lett. 108, 185302 (2012)
T. Ohgoe, T. Suzuki, N. Kawashima, Novel mechanism of supersolid of ultracold polar molecules in optical lattices. J. Phys. Soc. Jpn. 80, 113001 (2011)
T. Ohgoe, T. Suzuki, N. Kawashima, Ground-state phase diagram of the two-dimensional extended Bose-Hubbard model. Phys. Rev. B 86, 054520 (2012)
N.V. Prokof’ev, B.V. Svistunov, I.S. Tupitsyn, Exact, complete, and universal continuous-time worldline Monte Carlo approach to the statistics of discrete quantum systems. Sov. Phys. JETP 87, 310 (1998)
O.F. Syljuåsen, A.W. Sandvik, Quantum Monte Carlo with directed loops. Phys. Rev. E 66, 046701 (2002)
Y. Kato, N. Kawashima, Quantum Monte Carlo method for the Bose-Hubbard model with harmonic confining potential. Phys. Rev. E 79, 021104 (2009)
E.L. Pollock, D.M. Ceperley, Path-integral computation of superfluid densities. Phys. Rev. B 36, 8343 (1987)
Acknowledgements
This work was financially supported by the Global COE Program “the Physical Science Frontier”, the Grant-in-Aid for JSPS Fellows (Grant No. 249904), the Grant-in-Aid for Scientific Research (B) (22340111), and the Computational Materials Science Initiative (CMSI), Japan. The simulations were performed on computers at the Supercomputer Center, Institute for Solid State Physics, University of Tokyo.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ohgoe, T., Suzuki, T. & Kawashima, N. Bimodal Momentum Distribution of the High-Density Supersolid State. J Low Temp Phys 171, 309–314 (2013). https://doi.org/10.1007/s10909-012-0794-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10909-012-0794-1