Quantum phase transitions of interacting bosons on hyperbolic lattices.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
Xingchuan ZhuShiping Feng

Abstract

The effect of many-body interaction in curved space is studied based on the extended Bose-Hubbard model on hyperbolic lattices. Using the mean-field approximation and quantum Monte Carlo simulation, the phase diagram is explicitly mapped out, which contains the superfluid, supersolid and insulator phases at various fillings. Particularly, it is revealed that the sizes of the Mott lobes shrink and the supersolid is stabilized at smaller nearest-neighbor interaction asqin the Schläfli symbol increases. The underlying physical mechanism is attributed to the increase of the coordination number, and hence the kinetic energy and the nearest-neighbor interaction. The results suggest that the hyperbolic lattices may be a unique platform to study the effect of the coordination number on quantum phase transitions, which may be relevant to the experiments of ultracold atoms in optical lattices.

References

Nov 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Olav F Syljuåsen, Anders W Sandvik
Jun 6, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Olav F Syljuåsen
Aug 25, 2004·Physical Review Letters·L SantosM Lewenstein
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Lode PolletKris Heyde
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Fabien AletMatthias Troyer
Aug 11, 2005·Physical Review Letters·Pinaki SenguptaGuido Schmid
Oct 4, 2005·Physical Review Letters·Stefan Wessel, Matthias Troyer
Oct 10, 2006·Physical Review Letters·G G BatrouniR T Scalettar
Mar 21, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Seung Ki BaekBeom Jun Kim
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A GendiarT Nishino
Mar 5, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Seung Ki BaekBeom Jun Kim
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Seung Ki BaekBeom Jun Kim
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Seung Ki BaekBeom Jun Kim
Aug 8, 2018·Physical Review Letters·Anffany ChenM Franz
Sep 7, 2018·Nature·Daniel BarredoAntoine Browaeys
Jul 5, 2019·Nature·Alicia J KollárAndrew A Houck
Mar 15, 2020·Physical Review. E·Nikolas P BreuckmannAnanda Roy
Aug 17, 2020·Physical Review Letters·Sunkyu YuNamkyoo Park

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