Magic Traps for Multiple Rotational States of NaRb Molecule

Molecules have vibrational, rotational, spin-orbit and hyperfine degrees of freedom, each of which responds in a unique fashion to external electromagnetic radiation. The coherent control over superpositions of these quantum states is key to manipulation of molecules. For example, the better the coherence time the longer quantum simulations can last. The important quantity for controlling a molecule with laser light is its complex-valued molecular dynamic polarizability. Its real part determines the tweezer potential as felt by the molecule, while its imaginary part contributes to the coherence time. Our studies show that efficient trapping of a molecule in an optical potential can be achieved by a selecting laser frequency that has a small detuning (on the order of tens of GHz) relative to an electric-dipole-forbidden molecular transition. Close proximity to this transition allows us to significantly modify the trapping potentials for multiple rotational states without sacrificing coherences among these states. We demonstrate that magic trapping conditions for multiple rotational states in ultracold 23Na87Rb polar molecule can be created. In addition, we show that spin-decoupled magic trapping can be achieved with an applied static electric field oriented along the magnetic field direction.Comment: 8 pages, 6 figure