2014/09/30 by O. V. Marchukov, Oleksandr V. Marchukov, Dmitri V. Fedorov +7 · 3 citations
Physics and Astronomy · #Chaotic #Cold Atom Physics and Bose-Einstein Condensates #Coupling (piping) #Fermion #Harmonic #Quantum #Quantum chaos and dynamical systems #Quantum many-body systems #Range (aeronautics) #Spectral line #Zeeman effect #cond-mat.quant-gas #k-nearest neighbors algorithm #quant-ph
paper · pdf · doi:10.1140/epjd/e2015-50682-x
published in The European Physical Journal D 69(3) (Springer Science+Business Media) · 12 pages, 9 figures, revised version
openalex publication_date 2015/03/01 · arxiv created 2015/03/18 · arxiv updated 2015/03/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We investigate a two-dimensional system of with two values of the internal (spin) degree of freedom. It is confined by a deformed harmonic trap and subject to a Zeeman field, Rashba or Dresselhaus one-body spin-orbit couplings and two-body short range repulsion. We obtain self-consistent mean-field N-body solutions as functions of the interaction parameters. Single-particle Spectra and total energies are computed and compared to the results without interaction. We perform a statistical analysis for the distributions of nearest neighbor energy level spacings and show that quantum signatures of chaos are seen in certain parameters regimes. Furthermore, the effects of two-body repulsion on the nearest neighbor distributions are investigated. This repulsion can either promote or destroy the signatures of potential chaotic behavior depending on relative strengths of parameters. Our findings support the suggestion that cold atoms may be used to study quantum chaos both in the presence and absence of interactions.