Quantum Transport and Control of a Classically Chaotic Open System

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.