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Journal of Molecular Spectroscopy

Spin–orbit coupling of the NaK 33Π and 31Π states: Determination of the coupling constant and observation of quantum interference effects

Stephen Eckel, Seth Ashman, John Huennekens

Published Feb 16, 2007• 7 citations
Publisher
DOI
10.1016/j.jms.2007.02.012

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Spin-orbit coupling of the NaK 33Π3^{3}\Pi33Π and 31Π3^{1}\Pi31Π states: Determination of the coupling constant and observation of quantum interference effects
By applying an external magnetic field, we have determined the population of the magnetic sublevels of photodissociated atoms from the intensities of atomic fluorescence lines split by the Zeeman effect. A preferential population of the magnetic sublevels of the atomic fragment Na(3 2P3/2), which arises from the direct photodissociation through the D1Π(continuum) state of the NaK molecule, has been observed. The results are explained by assuming the separability of electronic and nuclear motion during the dissociation. The observed results could be rationalized by the sum of the photodissociation amplitudes caused by excitation of the P, Q and R branches. The population of the magnetic sublevels of Rb(5 2P3/2) atoms produced by predissociation of the C1Πu state of the Rb2 molecule by the repulsive molecular state c3Σ+u has been determined from the Zeeman spectra of the emission Rb(5 2P3/2→ 5 2Sm′1/2). The observed results are interpreted by including the spin-orbit coupling between an excited level of the C1Πu state and levels of the c3Σ+u state and the effect of the external magnetic field.
We consider a pseudospin-1/2 Bose–Einstein condensate with Rashba type of spin–orbit coupling and trapped in radially periodic potentials. The effects of spin–orbit coupling, amplitude of the lattice potential, and contact interaction, on the ground-state phases of the system are investigated numerically for two different types of radial lattices, i.e., with phase constant δ = 0 and π. We show that the system has a rich variety of ground-state phases, showing strong dependence on these controllable parameters. In addition, we find that for both types of radial lattices, such parameters can be used to induce desirable ground-state structures.