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Magic Conditions for Multiple Rotational States of Bialkali Molecules in Optical Lattices

2021/01/28 by Q. Guan, S. L. Cornish, S. Kotochigova · 1 citation
Physics and Astronomy · #quant-ph #physics.chem-ph

paper · pdf · doi:10.1103/physreva.103.043311

published as Phys. Rev. A 103, 043311 (2021)

arxiv created 2021/01/28 · arxiv updated 2021/04/14

Abstract

We investigate magic-wavelength trapping of ultracold bialkali molecules in the vicinity of weak optical transitions from the vibrational ground state of the X1Σ+ potential to low-lying rovibrational states of the b3Π0 potential, focussing our discussion on the 87Rb133Cs 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 Δv'=0 = 2π× 218.22 GHz from the X1Σ+ (v=0, J=0)→ b3Π0 (v'=0, J=1) transition. We 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.

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