2012/09/30 by David Pekker, Chang-Yu Hou, Doron L. Bergman +3
Materials Science · Mathematics · Physics and Astronomy · #Combinatorics #Geometry #Graphene research and applications #Homogeneous space #Mathematics #Phase (matter) #Physics #Quantum #Quantum computer #Quantum decoherence #Quantum many-body systems #Quantum mechanics #Quantum tunnelling #Superconductivity #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.mes-hall #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.87.064506
published as Phys. Rev. B 87, 064506 (2013) · 18 pages,14 figures, Updated reference
openalex publication_date 2013/02/19 · arxiv created 2013/03/04 · arxiv updated 2013/03/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study phase slips in one-dimensional topological superconducting wires. These wires have been proposed as building blocks for topologically protected qubits in which the quantum information is distributed over the length of the device and thus is immune to local sources of decoherence. However, phase slips are nonlocal events that can result in decoherence. Phase slips in topological superconductors are peculiar for the reason that they occur in multiples of 4\ensuremathπ (instead of 2\ensuremathπ in conventional superconductors). We reestablish this fact via a beautiful analogy to the particle physics concept of dynamic symmetry breaking by explicitly finding a ``hidden'' zero mode in the fermion spectrum computed in the background of a 2\ensuremathπ phase slip. Armed with the understanding of phase slips in topological superconductors, we propose a simple experimental setup with which the predictions can be tested by monitoring the tunneling rate of a superconducting flux quantum through a topological superconducting wire.