论文标题
相互作用玻色子对合成电场的非线性动力响应
Non-linear dynamical response of interacting bosons to synthetic electric field
论文作者
论文摘要
从理论上讲,我们研究了合成驱动的一维光学晶格中中性骨气相互作用的非线性响应。特别是,我们检查了在强依赖时间依赖性的合成矢量电位中电子高谐波产生的骨气类似物,该矢量电势表现为合成电场。我们表明,矢量潜力可以在绝缘状态下产生相当高的谐波,而超流体政权仅表现出少数谐波。在绝缘状态下,谐波数量随矢量潜力强度的增加而增加。这主要是由于中性莫特州立大学的野外谐振和非共振激发及其与基态重组的兴奋。如果两个原子($ u $)之间的排斥相互作用接近量规电位的强度($ a_0 $),则在最近的邻居站点上的谐振quasiparticle-quasihole对,即偶极状态,即在发挥较高的较高谐波中的主要作用。但是,在强场上限制$ a_0 \ gg u $中,非谐振的状态在Quasiparticle-quasihole对不在最近的邻居站点上会产生更高的谐波。
We theoretically study the non-linear response of interacting neutral bosonic gas in a synthetically driven one-dimensional optical lattice. In particular, we examine the bosonic analogue of electronic higher harmonic generation in a strong time-dependent synthetic vector potential manifesting itself as the synthetic electric field. We show that the vector potential can generate reasonably high harmonics in the insulating regime, while the superfluid regime exhibits only a few harmonics. In the insulating regime, the number of harmonics increases with the increase in the strength of the vector potential. This originates primarily due to the field-driven resonant and non-resonant excitations in the neutral Mott state and their recombination with the ground state. If the repulsive interaction between two atoms ($U$) is close to the strength of the gauge potential ($A_0$), the resonant quasiparticle-quasihole pairs on nearest-neighbor sites, namely dipole states are found to a play a dominant role in the generating higher harmonics. However, in the strong-field limit $A_0\gg U$, the nonresonant states where quasiparticle-quasihole pairs are not on nearest-neighbor sites give rise to higher harmonics.