论文标题

有效的三角梯子,带有1D光学晶格中自旋轨道耦合的交错通量

Effective triangular ladders with staggered flux from spin-orbit coupling in 1D optical lattices

论文作者

Cabedo, Josep, Claramunt, Joan, Mompart, Jordi, Ahufinger, Verònica, Celi, Alessio

论文摘要

光诱导的自旋轨道耦合是使用超低原子研究量子磁力的灵活工具。在这项工作中,我们表明,一维光学晶格中的自旋轨道耦合的玻色气体可以映射到两腿三角梯子中,并在汉密尔顿的最低频段截断后带有交错的通量。有效的通量和隧道强度的比率可以独立调整为广泛的值。我们确定了一定的参数状态,在该参数中,硬核玻色子近似保持,该系统实现了带有可调磁通的沮丧的三角形旋转梯子。我们使用密度 - 矩阵重统化组方法研究有效自旋哈密顿量的特性,并在半填充时确定相图。它显示了两个阶段:均匀的超氟和键订购的绝缘子。后者只能为低拉曼失谐而稳定。最后,我们在SOC系统的参数空间上提供了实验可行的轨迹,该轨迹越过了预测的相变。

Light-induced spin-orbit coupling is a flexible tool to study quantum magnetism with ultracold atoms. In this work we show that spin-orbit coupled Bose gases in a one-dimensional optical lattice can be mapped into a two-leg triangular ladder with staggered flux following a lowest-band truncation of the Hamiltonian. The effective flux and the ratio of the tunneling strengths can be independently adjusted to a wide range of values. We identify a certain regime of parameters where a hard-core boson approximation holds and the system realizes a frustrated triangular spin ladder with tunable flux. We study the properties of the effective spin Hamiltonian using the density-matrix renormalization-group method and determine the phase diagram at half-filling. It displays two phases: a uniform superfluid and a bond-ordered insulator. The latter can be stabilized only for low Raman detuning. Finally, we provide experimentally feasible trajectories across the parameter space of the SOC system that cross the predicted phase transition.

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