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arXiv:1309.1139 · Physical Review A

Roton-assisted chiral p -wave superfluid in a quasi-two-dimensional dipolar Bose-Fermi quantum-gas mixture

Ben Kain, Hong Yuan Ling

Published Sep 16, 2013• 0 citations
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Abstract

The chiral $p$-wave (${p}_{x}\ifmmode\pm\else\textpm\fi{}i{p}_{y}$) superfluid has attracted significant attention in recent years, mainly because its vortex core supports a Majorana fermion which, due to its non-Abelian statistics, can be explored for implementing topological quantum computation. Mixing dipolar bosons with fermions in quasi-two-dimensional space offers the opportunity to use the roton minimum as a tool for engineering the phonon-induced attractive interaction between fermions. We study, within the Hartree-Fock-Bogoliubov approach, the $p$-wave superfluid pairings in a quasi-two-dimensional dipolar Bose-Fermi mixture. We show that enhancing the induced interaction by lowering the roton minimum can affect the stability property of the mixture as well as the effective mass of the fermions in an important way. We also show that one can tune the system to operate in stable regions where chiral $p$-wave superfluid pairings can be resonantly enhanced by lowering the energy cost of the phonons near the roton minimum.

DOI
10.1103/physreva.88.033616

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We study Majorana modes in the vortex core of a two-dimensional p+ipp+ipp+ip Fermi superfluid interacting with a Bose-Einstein condensate. Under a repulsive sss-wave contact interaction between fermions and bosons, fermions are depleted from the vortex core when the bosonic density becomes sufficiently high. This gives rise to a dynamically driven local interface that emerges between fermions and bosons, along which chiral Majorana edge states should appear. We examine in detail the variation of vortex-core structures as well as the formation of chiral Majorana edge states with increasing bosonic density, where the circulation of the vortex plays an important role. Whereas both the Majorana modes and the vortex-core structures can be controlled and manipulated by tuning the bosonic density and the Bose-Fermi interaction strength, our study presents an illuminating example of how topological defects can be dynamically controlled in the context of cold-atomic gases.