标题： 存在人工磁场的Bose-Hubbard模型：基态和热相图 显示英文标题

标题： Bose-Hubbard model in the presence of artificial magnetic fields: Ground state and thermal phase diagrams

摘要： 我们考虑人工磁场对二维玻色-哈伯德模型基态的影响。 使用非对称玻色-哈伯德模型，我们证明了令人沮丧的跳跃能量使玻色子局域化，并扩大了绝缘体和超固态的边界。 我们展示了在人工规范场存在下这些增量，直到场的对称点。 此外，我们的计算显示了超流体和超固态相在实空间中的调制。 玻色电流在这些相中表现出涡旋，其配置取决于磁场与晶格之间的共性。 尽管磁场显式地破坏了正方形晶格的平移对称性，但在莫特绝缘体相中这种对称性得到了恢复。 填充因子在密度波和超固态相中呈现出棋盘图案，无论磁场强度如何。 我们研究了热涨落，并证明了绝缘体和SS相在与相互作用能相当的温度下具有鲁棒性，这支持了在实验中观察这些相的可行性。 显示英文摘要

摘要： We consider effects of artificial magnetic fields on the ground state of the two-dimensional Bose-Hubbard model. Using an asymmetric Bose-Hubbard model, we demonstrate that the frustrating hopping energy localizes bosons and enlarges insulators and supersolid borders. We show these increments in the presence of artificial gauge fields up to a symmetric point of the field. Moreover, our calculations exhibit the real space modulations of the superfluid and supersolid phases. The bosonic current exhibits vortices in these phases, which their configurations depend on the commensuration between the magnetic field and the lattice. Although the magnetic field breaks the translational symmetry of the square lattice explicitly, this symmetry is restored in the Mott insulator phase. The filling factor exhibits a checkerboard pattern in the density-wave and supersolid phases, regardless of the magnetic field strength. We explore thermal fluctuations and demonstrate the robustness of insulators and SS phases up to temperatures comparable to the interaction energy, which support the feasibility of observing such phases in experiments.