Majorana modes and p-wave superfluids for fermionic atoms in optical lattices

A. Bühler, N. Lang, C.V. Kraus, G. Möller, S.D. Huber and H.P. Büchler ()
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A. Bühler: Institute for Theoretical Physics III, University of Stuttgart, Pfaffenwaldring 57, D-70550 Stuttgart, Germany
N. Lang: Institute for Theoretical Physics III, University of Stuttgart, Pfaffenwaldring 57, D-70550 Stuttgart, Germany
C.V. Kraus: Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences
G. Möller: TCM Group, Cavendish Laboratory, J.J. Thomson Avenue, Cambridge CB3 0HE, UK
S.D. Huber: Institute for Theoretical Physics, ETH Zürich
H.P. Büchler: Institute for Theoretical Physics III, University of Stuttgart, Pfaffenwaldring 57, D-70550 Stuttgart, Germany

Nature Communications, 2014, vol. 5, issue 1, 1-7

Abstract: Abstract The quest for realization of non-Abelian phases of matter, driven by their possible use in fault-tolerant topological quantum computing, has been spearheaded by recent developments in p-wave superconductors. The chiral px+ipy-wave superconductor in two-dimensions exhibiting Majorana modes provides the simplest phase supporting non-Abelian quasiparticles and can be seen as the blueprint of fractional topological order. Alternatively, Kitaev’s Majorana wire has emerged as an ideal toy model to understand Majorana modes. Here we present a way to make the transition from Kitaev's Majorana wires to two-dimensional p-wave superconductors in a system with cold atomic gases in an optical lattice. The main idea is based on an approach to generate p-wave interactions by coupling orbital degrees of freedom with strong s-wave interactions. We demonstrate how this design can induce Majorana modes at edge dislocations in the optical lattice, and we provide an experimentally feasible protocol for the observation of the non-Abelian statistics.

Date: 2014
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DOI: 10.1038/ncomms5504

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