[PDF] Two atoms in a harmonic trap with spin-orbital-angular-momentum coupling | Semantic Scholar (2024)

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  • Corpus ID: 269457217
@inproceedings{Chen2024TwoAI, title={Two atoms in a harmonic trap with spin-orbital-angular-momentum coupling}, author={Xiao-Long Chen and Aixi Chen and Shi-Guo Peng}, year={2024}, url={https://api.semanticscholar.org/CorpusID:269457217}}
  • Xiao-Long Chen, Aixi Chen, Shi-Guo Peng
  • Published 30 April 2024
  • Physics

We study the problem of two harmonically trapped atoms in the presence of spin-orbital-angular-momentum coupling. The two-body energy spectrum is numerically calculated by utilizing the exact diagonalization method. We analyze how the degeneracy of energy levels is lifted under the interplay between the interatomic interaction and spin-orbital-angular-momentum coupling. The exact numerical results show an excellent agreement with that of perturbation theory in the weak-interaction limit, as…

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62 References

Ground-State Phase Diagram of a Spin-Orbital-Angular-Momentum Coupled Bose-Einstein Condensate.
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This work induces a Raman transition using a pair of Gaussian and Laguerre-Gaussian laser beams to realize a condensate whose orbital angular momentum and its internal spin states are coupled, paving the way to explore exotic quantum phases in the spin-orbital-angular-momentum coupled quantum gases.

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An unprecedented vortex state, which breaks the continuous rotational symmetry to a discrete one spontaneously, is predicted to occur in the SOAMC gas, and the unique density distributions of the predicted vortex states enable a direct observation in experiment.

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    [PDF] Two atoms in a harmonic trap with spin-orbital-angular-momentum coupling | Semantic Scholar (2024)

    FAQs

    What is the coupling of spin and orbital angular momentum? ›

    This coupling of orbital and spin angular momentum occurs because both the electron spin and orbital motion produce magnetic dipole moments. As we have seen previously, the relationship between the angular momentum and the magnetic moment is given by the gyromagnetic ratio.

    What is the coupling of orbital angular momentum vector? ›

    Vector Coupling

    This can apply to two electrons for which the total spin S can be 1 or 0 as illustrated in detail above, or to a p and a d orbital for which the total orbital angular momentum L can be 3, 2, or 1.

    What is the relationship between angular momentum and spin angular momentum? ›

    In quantum mechanics and particle physics, spin is an intrinsic form of angular momentum carried by elementary particles, composite particles (hadrons), and atomic nuclei. Spin is one of two types of angular momentum in quantum mechanics, the other being orbital angular momentum.

    What is the formula for spin angular momentum and orbital angular momentum? ›

    L(orbital angular momentum)S(spin angular momentum)=√l(l+1)h/2π√s(s+1)h/2π=√2√32=2√2√3.

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