2020/06/30 by Huan-Kuang Wu, Wei-Lin Tu
Physics and Astronomy · #Anisotropy #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Dipole #Lattice (music) #Monte Carlo method #Optical lattice #Phase (matter) #Phase diagram #Physics #Polarization (electrochemistry) #Quantum #Quantum Monte Carlo #Quantum many-body systems #Quantum mechanics #Quantum, superfluid, helium dynamics #Square lattice #Superfluidity #Supersolid #cond-mat.quant-gas
paper · pdf · doi:10.1103/physreva.102.053306
published as Phys. Rev. A 102, 053306 (2020) · 16 pages, 11 figures
openalex created_date 2020/06/25 · arxiv created 2020/09/22 · openalex publication_date 2020/11/09 · arxiv updated 2020/11/18 · openalex updated_date 2026/08/06
Different quantum phases of a hard-core boson induced by dipole-dipole interaction with varying angles of polarization are discussed in this work. We consider the two most influential leading terms with anisotropy due to the tilted polarization of the on-site boson in the square lattice. To ensure the concreteness of this truncation, we compare our phase diagrams, obtained numerically from the cluster mean-field theory (CMFT) and infinite projected entangled-pair state (iPEPS), with that of the long-range interacting model from quantum Monte Carlo. Next, we focus on the case where the azimuthal angle is fixed to \ensuremathφ=\ensuremathπ/4. Using the mean-field analysis where the quantum spin operators are replaced by c numbers, we aim to search for the underlying phases, especially the supersolid. Our results show a competing scenario mainly between two ordered phases with different sizes of unit cell, where a first-order transition takes place in between them. With the help of the CMFT and variational iPEPS, the phase boundaries predicted by the mean-field theory are determined more precisely. Our discoveries elucidate the possible underlying supersolid phases which might be seen in the ultracold experiments with strongly dipolar atoms. Moreover, our results indicate that an effective triangular optical lattice can be realized by fine tuning the polarization of dipoles in a square lattice.