We report on the first direct investigation of quantum transport and control of a classically chaotic open system which means a single atom held in an open and depth-tilt-modulated one-dimensional (1D) optical lattice. The area of chaotic region is demonstrated to decrease with the increase of damping of the classical open system. The corresponding non-Hermitian Hamiltonian is constructed, where the quantum decay rate positively correlating to the classical damping is qualitatively revealed. Under high-frequency approximation of the tilt modulation, we obtain a set of analytical solutions with the effective coupling being strengthened by the adjustable decay rate. The analytical and numerical results mean accordantly that we can enhance the tunneling rate to suppress the decoherence by increasing the decay rate to leave the chaotic region. These results could be useful for qubit transport and control based on the classically chaotic open systems.

我们报告了对经典的混沌开放系统的量子输运和控制的首次直接研究，这意味着单个原子保持在开放且经深度-倾斜调制的一维（1D）光学晶格中。结果表明，随着经典开放系统阻尼的增加，混沌区域的面积减小。构造了相应的非Hermitian哈密顿量，定性揭示了与经典阻尼正相关的量子衰减率。在倾斜调制的高频近似下，我们获得了一组解析解，其中可调节的衰减率增强了有效耦合。分析和数值结果一致地表明，我们可以通过增加衰减率以离开混沌区域来提高隧穿率以抑制去相干。