Statistical properties of spectra in harmonically trapped spinorbit coupled systems
Abstract
We compute singleparticle energy spectra for a onebody Hamiltonian consisting of a twodimensional deformed harmonic oscillator potential, the Rashba spinorbit coupling and the Zeeman term. To investigate the statistical properties of the obtained spectra as functions of deformation, spinorbit and Zeeman strengths we examine the distributions of the nearest neighbor spacings. We find that the shapes of these distributions depend strongly on the three potential parameters. We show that the obtained shapes in some cases can be well approximated with the standard Poisson, Brody and Wigner distributions. The Brody and Wigner distributions characterize irregular motion and help identify quantum chaotic systems. We present a special choice of deformation and spinorbit strengths without the Zeeman term which provide a fair reproduction of the fourthpower repelling Wigner distribution. By adding the Zeeman field we can reproduce a Brody distribution, which is known to describe a transition between the Poisson and linear Wigner distributions.
 Publication:

Journal of Physics B Atomic Molecular Physics
 Pub Date:
 October 2014
 DOI:
 10.1088/09534075/47/19/195303
 arXiv:
 arXiv:1403.1205
 Bibcode:
 2014JPhB...47s5303M
 Keywords:

 Condensed Matter  Quantum Gases;
 Condensed Matter  Statistical Mechanics;
 Quantum Physics
 EPrint:
 12 pages, 10 figures, published version