标题： 自旋轨道耦合玻色-爱因斯坦凝聚体的调制：加速度引起的能带之间跃迁的分析表征 显示英文标题

标题： Modulation of spin-orbit coupled Bose-Einstein condensates: analytical characterization of acceleration-induced transitions between energy bands

摘要： 调制自旋-轨道耦合玻色-爱因斯坦凝聚体的影响被进行了解析研究。 正弦驱动的耦合幅度被证明会在能带和相关的自旋-动量锁定中引起显著变化。 此外，与最近的实验结果一致，发现调制系统的重力加速度会引发修改后的能带之间的跃迁。 对Landau-Zener（LZ）模型在理解实验结果中的适用性进行了严格追踪。 通过一系列幺正变换并将系统约化到自旋空间，显示包含重力势的调制哈密顿量对应于LZ情景的一个扩展版本。 基本LZ模型的推广沿着两个方向进行。 首先，增大了维度以结合外部动力学的描述与内部态的表征。 其次，该模型被扩展以包含由调制引起的能带变化所产生的两个避免交叉。 我们的方法允许对有效模型系统参数进行第一性原理推导。 获得的解析结果为控制跃迁提供了依据。 显示英文摘要

摘要： The effects of modulating spin-orbit coupled Bose-Einstein condensates are analytically studied. A sinusoidal driving of the coupling amplitude is shown to induce significant changes in the energy bands and in the associated spin-momentum locking. Moreover, in agreement with recent experimental results, gravitational acceleration of the modulated system is found to generate transitions between the modified energy bands. The applicability of the Landau-Zener (LZ) model to the understanding of the experimental findings is rigorously traced. Through a sequence of unitary transformations and the reduction to the spin space, the modulated Hamiltonian, with the gravitational potential incorporated, is shown to correspond to an extended version of the LZ scenario. The generalization of the basic LZ model takes place along two lines. First, the dimensionality is enlarged to combine the description of the external dynamics with the internal-state characterization. Second, the model is extended to incorporate two avoided crossings emerging from the changes induced in the energy bands by the modulation. Our approach allows a first-principle derivation of the effective model-system parameters. The obtained analytical results provide elements to control the transitions.