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日本物理学会講演概要集

16pBA-2 Bose-Hubbard model in artificial magnetic fields in an optical lattice : flux=p/q states and vortex-line phase transition by on-site repulsive interaction

Takashi Nakafuji, Yoshihito Kuno, Ikuo Ichinose

Published Sep 16, 2015• 0 citations
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Spin-1 Bose Hubbard model with three body interaction and magnetic fields

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We explore the effects of a repulsive three body interaction and a synthetic gauge field on a spin-1 ultracold Bose gas on an optical lattice to study the quantum phase transition from a supeifluid (SF) to Mon insulating (MI) phase. Both effects being experimentally feasible to achieve, we also add an external Zeeman field to explore an interesting interplay among three of them. A site decoupling mean field technique, known to be an efficient marker of different quantum phases for a spinor Bose Hubbard model, is employed. Without the magnetic fields, the presence of three body interaction stabilizes all the MI lobes, excepting the first one, compared to the SF phase while in presence of the magnetic fields, the spin nematic MI phase makes inroad into the SF phase at the expense of the spin singlet MI phase.

AIP conference proceedings•Jan 1, 2018•0 citations
In this paper, we study Bose-Hubbard models on square and honeycomb lattices with complex hopping amplitudes, which are feasible by recent experiments of cold atomic gases in optical lattices. To clarify phase diagrams, we use extended quantum Monte Carlo simulations (eQMC). For the system on the square lattice, the complex hopping is realized by an artificial magnetic field. We found that vortex-solid states form for certain set of magnetic field, i.e., the magnetic field with the flux quanta per plaquette f=p/qf=p/qf=p/q, where ppp and qqq are co-prime natural numbers. For the system on the honeycomb lattice, we add the next-nearest-neighbor complex hopping. The model is a bosonic analog of the Haldane-Hubbard model. By means of eQMC, we study the model with both weak and strong onsite repulsions. Numerical study shows that the model has a rich phase diagram. We also found that in the system defined on the honeycomb lattice of the cylinder geometry, an interesting edge state appears.
Abstract We investigate the ground state properties of interacting bosons on a triangular ladder subject to an artificial magnetic field. By means of the mean-field approximation, rich phases are revealed in the limit of weak interaction and large bosons occupation per site, including the Meissner superfluid, vortex superfluid, biased chiral superfluid (C-SF), C-SF and insulating phases. The quantum phases can be precisely identified and the underlying physics of phase transitions can be clarified by utilizing order parameters based on the atomic density, the effective rung current, and the current asymmetry ratio. Meanwhile, the phase transition of the system can be effectively controlled by adjusting the rung-to-leg coupling ratio, the magnetic flux and the atomic interaction. Furthermore, using Bogoliubov theory, we have mapped the stability phase diagram across all parameters, and clarified the interdependence between superfluidity and the dispersion relation. The excitation spectrum, which effectively describes the system’s energetic stability, is governed by the rung-to-leg coupling ratio, the magnetic flux, and the atomic interaction. Numerical simulations validate the dynamical instability of the system. This work offers a theoretical foundation for identifying new quantum phases exhibited by ultracold atoms in optical lattices and new experimental approaches for achieving system superfluidity.
We explore the effects of a repulsive three body interaction and a synthetic gauge field on a spin-1 ultracold Bose gas on an optical lattice to study the quantum phase transition from a supeifluid (SF) to Mon insulating (MI) phase. Both effects being experimentally feasible to achieve, we also add an external Zeeman field to explore an interesting interplay among three of them. A site decoupling mean field technique, known to be an efficient marker of different quantum phases for a spinor Bose Hubbard model, is employed. Without the magnetic fields, the presence of three body interaction stabilizes all the MI lobes, excepting the first one, compared to the SF phase while in presence of the magnetic fields, the spin nematic MI phase makes inroad into the SF phase at the expense of the spin singlet MI phase.