在双峰玻色-爱因斯坦凝聚体中提升均匀三维光晶格时的绝热性
Adiabaticity when raising a uniform 3D optical lattice in a bimodal Bose-Einstein condensate
摘要：
利用含时Bogoliubov方法，研究了超流弱相互作用下三维含时光晶格中两组分玻色-爱因斯坦凝聚体的绝热性.我们发现，提高晶格势的高度可以耦合的Bogoliubov哈密顿量的基态的激发态与两个准粒子的相反的准动量。在两个分量中的相互作用和密度的对称情况下，这些表示其中两个分量异相振荡的声波。我们发现一个解析表达式的绝热时间，其依赖于在每个组件中的原子的分数和它的标度与系统的大小。
英文摘要：
Using the time-dependent Bogoliubov approach, we study adiabaticity for a two-component Bose-Einstein condensate in a 3D time-dependent optical lattice with unit filling, in the superfluid and weakly interacting regime. We show that raising the lattice potential height can couple the ground state of the Bogoliubov Hamiltonian to excited states with two quasiparticles of opposite quasi-momenta. In the symmetric case for interactions and density in the two components these represent sound waves where the two components oscillate out of phase. We find an analytic expression of the adiabatic time, its dependence on the fraction of atoms in each component and its scaling with the system size.
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