Three-dimensional spin–orbit coupling in a trap

@article{Anderson2013ThreedimensionalSC,
  title={Three-dimensional spin–orbit coupling in a trap},
  author={Brandon M. Anderson and Charles W. Clark},
  journal={Journal of Physics B},
  year={2013},
  volume={46},
  pages={134003}
}
We investigate the properties of an atom under the influence of a synthetic three-dimensional spin–orbit coupling (Weyl coupling) in the presence of a harmonic trap. The conservation of total angular momentum provides a numerically efficient scheme for finding the spectrum and eigenfunctions of the system. We show that at large spin–orbit coupling the system undergoes dimensional reduction from three to one dimension at low energies, and the spectrum is approximately Landau level-like. At high… 

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References

SHOWING 1-10 OF 33 REFERENCES
Nonequilibrium spin dynamics in a trapped fermi gas with effective spin-orbit interactions.
TLDR
This work explicitly considers evolution of an initially spin-polarized Fermi gas in a two-dimensional harmonic trap and derive nonequilibrium behavior of the spin polarization.
Trapped two-dimensional condensates with synthetic spin-orbit coupling.
TLDR
It is shown that a rich physics results from the nontrivial interplay between spin-orbit coupling, confinement and interatomic interactions, whereas strong-enough repulsive interactions result in a stripe-phase similar to that predicted for homogeneous condensates.
Spin-orbit coupled weakly interacting Bose-Einstein condensates in harmonic traps.
TLDR
It is shown that at strong spin-orbit coupling the single-particle spectrum decomposes into different manifolds separated by ℏω{⊥}, where ω{⍥} is the trapping frequency.
Synthetic 3D spin-orbit coupling.
TLDR
An exact result is presented showing that such a spin-orbit coupling in a fermionic system always gives rise to a molecular bound state.
Two- and three-dimensional topological insulators with isotropic and parity-breaking Landau levels
We investigate topological insulating states in both two and three dimensions with the harmonic potential and strong spin-orbit couplings breaking the inversion symmetry. Landau-level-like
Spin-orbit coupled Fermi gases across a Feshbach resonance.
TLDR
It is shown that a strong spin-orbit coupling can significantly enhance the pairing gap for negative scattering length a(s), due to increased density of state at Fermi surface, and the superfluid transition temperature Tc is enhanced.
Spin-orbit coupled Bose-Einstein condensates
We consider a many-body system of pseudo-spin-1 /2 bosons with spin-orbit interactions, which couple the momentum and the internal pseudo-spin degree of freedom created by spatially varying laser
Bound states in a two-dimensional short range potential induced by the spin-orbit interaction.
TLDR
A 2D axially symmetric short-range potential contains an infinite number of the levels of negative energy if one takes into account the spin-orbit (SO) interaction.
Spin–orbit-coupled Bose–Einstein condensates
TLDR
The engineered SO coupling in a neutral atomic Bose–Einstein condensate sets the stage for the realization of topological insulators in fermionic neutral atom systems and develops a many-body theory that provides quantitative agreement with the observed location of the transition.
Realistic Rashba and Dresselhaus spin-orbit coupling for neutral atoms
We describe a new class of atom-laser coupling schemes which lead to spin-orbit-coupled Hamiltonians for ultracold neutral atoms. By properly setting the optical phases, a pair of degenerate
...
1
2
3
4
...