Magic conditions for multiple rotational states of bialkali molecules in optical lattices

Abstract

We investigate magic-wavelength trapping of ultracold bialkali molecules in the vicinity of weak optical transitions from the vibrational ground state of the X 1 + potential to low-lying rovibrational states of the b 3 0 potential, focusing our discussion on the 87 Rb 133 Cs molecule in a magnetic field of B = 181 G. We show that a frequency window exists between two nearest-neighbor vibrational poles in the dynamic polarizability where the trapping potential is "near magic" for multiple rotational states simultaneously. We show that the addition of a modest DC electric field of E = 0.13 kV/cm leads to an exact magic-wavelength trap for the lowest three rotational states at a angular-frequency detuning of v =0 = 2π × 218.22 GHz from theWe derive a set of analytical criteria that must be fulfilled to ensure the existence of such magic frequency windows and present an analytic expression for the position of the frequency window in terms of a set of experimentally measurable parameters. These results should inform future experiments requiring long coherence times on multiple rotational transitions in ultracold polar molecules.

Quantum control of molecules for fundamental physics

“…5(c)). Measurements for NaK [126] and NaRb [142], and calculations for RbCs [143], all indicate favorable magic trapping conditions where the trap wavelengths can be fardetuned enough such that near-resonant scattering is not detrimental.…”

Preparation of 87Rb and 133Cs in the motional ground state of a single optical tweezer

“…This has enabled the experimental demonstration of robust storage qubits based upon long-lived coherent superpositions of hyperfine states [65]. Moreover, the molecular structure of the X 1 Σ + → b 3 Π transition in RbCs has been shown to be ideally suited for the construction of a magic trap for multiple rotational transitions [66], permitting long rotational-state coherences and opening up interesting possibilities to encode synthetic dimensions in the molecule [67].…”

Ultracold $^{88}\rm{Sr}_2$ molecules in the absolute ground state

“…Finally, we study the lifetime of the absolute-ground-state molecules and measure the two-body inelastic loss rates to extend our understanding of ultracold collisions, which may potentially inform the feasibility of producing stable molecular Bose-Einstein condensates [65][66][67]. We expect that the techniques described herein can be generalized to molecules consisting of at least one closed-shell atom [68][69][70][71][72][73], and to other molecular species in deep optical traps such as tweezers and lattices [74][75][76][77][78][79][80].…”