Topological superfluid in one-dimensional ultracold atomic system with spin-orbit coupling
Institute for Theoretical Physics and Department of Modern Physics University of Science and Technology of China, Hefei 230026, P.R. China
Received: 13 November 2012
Received in final form: 30 March 2013
Published online: 5 August 2013
We propose a one-dimensional Hamiltonian H1D which supports Majorana fermions when dx² − y²-wave superfluid appears in the ultracold atomic system and obtain the phase diagrams both for the time-reversal-invariant (TRI) case and time-reversal-symmetry-breaking (TRSB) case. From the phase diagrams, we find that the Majorana doublets and the single Majorana fermions exist in the topological superfluid (TSF) regions for the TRI case and the TRSB case, respectively, and we can reach these regions by tuning the chemical potential μ and spin-orbit coupling αR. Importantly, the spin-orbit coupling has been realized in ultracold atoms by the recent experimental achievement of synthetic gauge field, therefore, our one-dimensional ultra-cold atomic system described by H1D is a promising platform to find the mysterious Majorana fermions.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2013