Related Experiment Video
Updated: Nov 2, 2025

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
Quantum phase transitions of interacting bosons on hyperbolic lattices
Xingchuan Zhu1,2, Jiaojiao Guo3, Nikolas P Breuckmann4
1Department of Physics, Beijing Normal University, Beijing 100875, People's Republic of China.
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.
Related Concept Videos
Phase Transitions
Phase Transitions: Vaporization and Condensation
Phase Transitions: Sublimation and Deposition
Phase Transitions: Melting and Freezing
The de Broglie Wavelength
Phase Diagram

