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Bulletin of the American Physical Society

Absorption of microwave radiation by an array of vortices in a p-wave superfluid of fermionic cold atoms

Eytan Grosfeld, Nigel R. Cooper, Ady Stern, Roni Ilan

Published Mar 9, 2007• 0 citations
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We study the superfluid phases of quasi-two-dimensional atomic Fermi gases interacting via a ppp-wave Feshbach resonance. We calculate the absorption spectra of these phases under a hyperfine transition for both nonrotating and rotating superfluids. We show that one can identify the different phases of the ppp-wave superfluid from the absorption spectrum. The absorption spectrum shows clear signatures of the existence of Majorana zero modes at the cores of vortices of the weakly pairing px+ipy{p}_{x}+i{p}_{y}px​+ipy​ phase.
We propose to use the recently predicted two-dimensional "weak-pairing" px + ipy superfluid state of fermionic cold atoms as a platform for topological quantum computation. In the core of a vortex, this state supports a zero-energy Majorana mode, which moves to finite energy in the corresponding topologically trivial "strong-pairing" state. By braiding vortices in the "weak-pairing" state, unitary quantum gates can be applied to the Hilbert space of Majorana zero modes. For readout of the topological qubits, we propose realistic schemes suitable for atomic superfluids.