Manipulating ultracold polar molecules with microwave radiation: The influence of hyperfine structure

Abstract

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Prediction of a gapless topological Haldane liquid phase in a one-dimensional cold polar molecular lattice

“…For 40 K 87 Rb molecules in a typical uniform external magnetic field the resonant microwave transition frequencies between the ground and first excited rotational manifolds are different for different hyperfine species. 13 (We will consider the Zeeman shift of the noninteracting energy levels to be absorbed into the chemical potentials.) Thus one could apply an ac field at the average excitation frequency as shown in Fig.…”

Hyperfine structure of alkali-metal diatomic molecules

“…In the diatomic molecules, the two spins interact with one another and with the molecular rotation to form complex patterns of energy levels. These energy levels cross and avoided-cross as a function of magnetic and electric fields [14][15][16] and laser intensity [17]. Understanding the energy levels and their crossings is crucial in developing schemes to control ultracold molecules and transfer them between rotational and hyperfine states.…”

Quantum magnetism with polar alkali-metal dimers

“…For the example considered in Eq. (20), the microwave Rabi frequency and detuning can be used to control a to obtain a lattice that is the same for states |m 0 and |1 , which happens when a 0|P 2 |0 + (1 − a) 1|P 2 |1 = 1|P 2 |1 .…”