论文标题
在没有光学晶格的两个相互作用的超电原子气中的合成量规场
Synthetic gauge field in two interacting ultracold atomic gases without an optical lattice
论文作者
论文摘要
2D Fock状态晶格（FSL是由两个相互作用的两种量子气体的多体状态构建的。通过定期驱动种间相互作用并在每种气体的两个模式之间脉动隧穿，生成了一个合成量规场，我们将产生一个有效的脉动限制。相互作用的能量和驾驶频率的比率。在晶格中创建一个整体谐波陷阱，并引入了宏观量子自我捕获的非线性效应，这表明该工作妨碍了沿晶格边缘的运动。
A 2D Fock-state lattice (FSL is constructed from the many-body states of two interacting two-mode quantum gases. By periodically driving the interspecies interactions and pulsing the tunneling between the two modes of each gas, a synthetic gauge field is generated. We derive an effective Hamiltonian in the short pulse limit which resembles the Harper-Hofstadter Hamiltonian where the magnetic flux per plaquette is controlled by the ratio of the interaction energy and the driving frequency. The quasispectrum of the Floquet operator of the driving sequence shows the celebrated Hofstadter's butterfly pattern as well as the existence of edge states. From the calculation of the local Chern marker, we establish that the FSL has non-trivial topology and by simulating the dynamics of the edge states, show that they exhibit chirality. Finally, the inclusion of the intraspecies interactions creates an overall harmonic trap in the lattice and introduces the nonlinear effect of macroscopic quantum self-trapping which is shown to hinder the movement along the edge of the lattice. This work introduces a new avenue to explore synthetic gauge fields and provides a link between non-trivial condensed matter systems and quantum gases.
