Fig. 1: Rotationally magic trap for ultracold molecules.
From: Second-scale rotational coherence and dipolar interactions in a gas of ultracold polar molecules

a, Relevant rotational states in this work labelled by (N, MN). Wavefunctions for each state are shown with phase information for the states used in this work represented by the colour. b, Electronic structure of RbCs, with the energy corresponding to the 1,145 nm wavelength of the trap laser indicated by the vertical black arrow. c, By tuning the laser frequency between the transitions to \({v}^{{\prime} }=0\) and \({v}^{{\prime} }=1\) vibrational levels of the b3Π potential, we vary only the component of the polarizability parallel to the internuclear axis of the molecule α∥ whilst keeping the perpendicular component α⊥ constant. d, Polarizability for states \(\left\vert 0\right\rangle\) and \(\left\vert 1\right\rangle\), for light polarized perpendicular to the quantization axis, as a function of laser detuning from the transition to \({{{b}}}^{3}\Pi ({v}^{{\prime} }=0)\). At a detuning of 0.186 THz, the trap is rotationally magic, and the polarizability for both states is the same. e, Schematic of the relative trap potential for laser detunings such that (i) \({\alpha }_{\left\vert 1\right\rangle } < {\alpha }_{\left\vert 0\right\rangle }\), (ii) \({\alpha }_{\left\vert 1\right\rangle }={\alpha }_{\left\vert 0\right\rangle }\) and (iii) \({\alpha }_{\left\vert 1\right\rangle } > {\alpha }_{\left\vert 0\right\rangle }\).