Competing quantum phases of hard-core boson with tilted dipole-dipole interaction

Abstract

Different quantum phases of 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 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 $\varphi =\pi /4$. 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 first-order transition takes place in between them. With the help of 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.

arXiv comment16 pages, 11 figures

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• Recent progress on quantum simulations of non-standard Bose-Hubbard models
• Supersolid phases of lattice dipoles tilted in three-dimensions
• Ground states of 2D tilted dipolar bosons with density-induced hopping
• Quantum phases of dipolar bosons in multilayer optical lattice
• Applications of Lattice Gauge Equivariant Neural Networks
• Field-induced Bose-Einstein condensation and supersolid in the two-dimensional Kondo necklace
• Ultracold dipolar bosons trapped in atomtronic circuits
• Quantum phases of lattice dipolar bosons coupled to a high-finesse cavity
• Quantum phases of hardcore bosons with repulsive dipolar density-density interactions on two-dimensional lattices
• Dipolar Bose-Hubbard Model in finite-size real-space cylindrical lattices
• Variational Tensor Network Operator
• Phase diagram of hard core bosons with anisotropic interactions
• Cubic ferromagnet and emergent $U(1)$ symmetry on its phase boundary
• Nonergodic dynamics for an impurity interacting with bosons in tilted lattice
• Programmable order by disorder effect and underlying phases through dipolar quantum simulators