Majorana fermions in equilibrium and in driven cold-atom quantum wires.

Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires

Floquet Majorana fermions for topological qubits in superconducting devices and cold-atom systems.

We develop an approach to realizing a topological phase transition and non-Abelian braiding statistics with dynamically induced Floquet Majorana fermions (FMFs). When the periodic driving potential does not break fermion parity conservation, FMFs can encode quantum information. Quasienergy analysis shows that a stable FMF zero mode and two other satellite modes exist in a wide parameter space w...

Robustness of Majorana fermion induced fractional Josephson effect in multichannel superconducting wires

It has been shown previously that the coupling between two Majorana end states in single-channel superconducting quantum wires leads to the fractional Josephson effect. However, in realistic experimental conditions, multiple bands of the wires are occupied and the Majorana end states are accompanied by other fermionic end states. This raises the question concerning the robustness of the fractio...

Dynamical generation of Floquet Majorana flat bands in s-wave superconductors

We present quantum control techniques to engineer flat bands of symmetry-protected Majorana edge modes in s-wave superconductors. Specifically, we show how periodic control may be employed for designing time-independent effective Hamiltonians, which support Floquet Majorana flat bands, starting from equilibrium conditions that are either topologically trivial or only support individual Majorana...

Manipulating Majorana fermions using supercurrents

Topological insulator edges and spin-orbit-coupled quantum wires in proximity to s-wave superconductors can be tuned through a topological quantum phase transition by a Zeeman field. Here we show that a supercurrent flowing in the s-wave superconductor also drives such a transition. We propose to use this mechanism to generate and manipulate Majorana fermions that localize at domain walls betwe...