Topological Superfluid in one-dimensional Ultracold Atomic System with Spin-Orbit Coupling

Abstract

We propose a one-dimensional Hamiltonian $H_{1D}$ which supports Majorana fermions when $d_{x^2-y^2}$-wave superfluid appears in the ultracold atomic system and obtain the phase-separation diagrams both for the time-reversal-invariant case and time-reversal-symmetry-breaking case. From the phase-separation diagrams, we find that the single Majorana fermions exist in the topological superfluid region, and we can reach this region by tuning the chemical potential $\mu$ and spin-orbit coupling ${\alpha }_R$. Importantly, the spin-orbit coupling has realized in ultracold atoms by the recent experimental achievement of synthetic gauge field, therefore, our one-dimensional ultra-cold atomic system described by $H_{1D}$ is a promising platform to find the mysterious Majorana fermions.

5 papers, 2 figures

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Cited by in corpus (4)

• Time-reversal invariant topological superfluids in Bose-Fermi mixtures
• Universal characteristics of one-dimensional non-Hermitian superconductors
• Topological phase transition in the quench dynamics of a one-dimensional Fermi gas
• Measuring the Spin Polarization of a Ferromagnet: an Application of Time-Reversal Invariant Topological Superconductor