标题： 绝热制备守恒数原子马约拉纳相 显示英文标题

标题： Adiabatic preparation of a number-conserving atomic Majorana phase

摘要： 我们构建了一个协议，用于绝热制备一种广泛讨论的守恒数模型哈密顿量的基态，该哈密顿量适用于支持马约拉纳边缘态的光晶格中超冷原子。 特别是，我们引入了一个对称性破缺的质量项，相当于在所考虑的双腿 ladder 的平面上穿通一个共轭（人工）磁通，这打开了一个常数体能隙。 这使得能够从一个平凡的莫特绝缘体状态中以系统尺寸最优渐近缩放的上升时间制备拓扑马约拉纳相，这是由于目标状态的临界性质导致的线性关系。 使用考虑了有限尺寸效应和全局费米子数守恒的构造性玻色化技术，我们能够用理论完全解释上述共轭通量对于可控体能隙的有些反直觉的必要性。 我们的分析预测通过无偏数值矩阵乘积态（MPS）模拟得到了验证和量化。 直接建立在之前实验工作基础上，所提出协议的关键通量项在原子量子模拟器中是可行的，采用最先进的实验技术。 显示英文摘要

摘要： We construct a protocol to adiabatically prepare the ground state of a widely discussed number-conserving model Hamiltonian for ultracold atoms in optical lattices that supports Majorana edge states. In particular, we introduce a symmetry breaking mass term that amounts to threading a commensurate (artificial) magnetic flux through the plaquettes of the considered two-leg ladder which opens a constant bulk gap. This enables the preparation of the topological Majorana phase from a trivial Mott insulator state with optimal asymptotic scaling of the ramp time in system size, which is linear owing to the critical nature of the target state. Using constructive bosonization techniques that account for both finite size effects and global fermion number conservation, we are able to fully explain with theory the somewhat counterintuitive necessity of the aforementioned commensurate flux for a controlled bulk gap. Our analytical predictions are corroborated and quantified by unbiased numerical matrix product states (MPS) simulations. Directly building up on previous experimental work, the crucial flux-term of the proposed protocol is feasible with state-of-the-art experimental techniques in atomic quantum simulators.