论文标题
人造量规场中的玻色 - 哈伯三角梯子
Bose-Hubbard triangular ladder in an artificial gauge field
论文作者
论文摘要
我们考虑在人造仪表场存在下在两腿三角梯上相互作用的骨颗粒。我们采用密度矩阵重新归一化组的数值模拟和分析性价态计算来研究该系统的丰富相图。我们表明，由三角形晶格几何形状引起的挫败感与相互作用引起的相互作用产生了多个手性量子阶段。超氟到穆特胰岛状态之间的相变发生，这些状态可能具有Meissner或涡流特征。此外，在接近$π$的通量值中发现了一个明确打破梯子两腿之间的对称性的状态。在铁杆玻色子的政权中，我们表明，超出完全沮丧的梯子以外的债券订单绝缘体的扩展表现出Meissner型手性电流。我们讨论了我们发现对冷原子系统实验的后果。
We consider interacting bosonic particles on a two-leg triangular ladder in the presence of an artificial gauge field. We employ density matrix renormalization group numerical simulations and analytical bosonization calculations to study the rich phase diagram of this system. We show that the interplay between the frustration induced by the triangular lattice geometry and the interactions gives rise to multiple chiral quantum phases. Phase transition between superfluid to Mott-insulating states occur, which can have Meissner or vortex character. Furthermore, a state that explicitly breaks the symmetry between the two legs of the ladder, the biased chiral superfluid, is found for values of the flux close to $π$. In the regime of hardcore bosons, we show that the extension of the bond order insulator beyond the case of the fully frustrated ladder exhibits Meissner-type chiral currents. We discuss the consequences of our findings for experiments in cold atomic systems.
