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Showing 1 to 5 of 5 for “"twist defects"”.

  1. Anyonic symmetry and twist defects

    … Abelian theories, and as a result allow for defects which host non-Abelian zero modes. We first formulate the symmetries of the anyonic excitations of Abelian topological states. Then, we study properties of semiclassical point defects, called twist defects, which permute orbiting anyons by …

    uiuc Repository record for Anyonic symmetry and twist defects (opens in a new tab)

  2. Magic and Majorana Fermions in Quantum Computing, Topological Matter, and Dynamics

    … of anyonic excitations, boundaries and “twist defects” (lattice defects that can store quantum information) in these codes. Finding that twist defects can store logical Majorana fermions, as well as regular logical qubits expected, we introduce methods for computing with all topologically …

    cambridge Repository record for Magic and Majorana Fermions in Quantum Computing, Topological Matter, and Dynamics (opens in a new tab)

  3. Defects, topology, and the geometric phase in condensed matter physics

    … physics, particularly geometric phases and defects. The first chapter deals with pentagonal disclinations in graphene and their associated bound states. This problem had been attacked previously, using index theorems, as well as the solutions of the continuum Dirac equation. We demonstrated …

    uiuc Repository record for Defects, topology, and the geometric phase in condensed matter physics (opens in a new tab)

  4. Engineering Topological Quantum Matter with Patterned Light

    … a bilayer optical lattice with multiple pairs of twist defects. We explain how a spin-dependent optical lattice can serve as the bilayer optical lattice for this purpose. We discuss how fractional quantum Hall states can be loaded on this surface, as well as manipulation and measurement techniques …

    maryland Repository record for Engineering Topological Quantum Matter with Patterned Light (opens in a new tab)

  5. Many-body localization and tensor networks

    … that studies the influence of the duality-twisted boundary conditions on the critical twist defect chains. The MBL-ergodic transition is a dynamical phase transition which happens at finite energy density for a disordered and isolated many-body interacting system. It is a natural extension …

    uiuc Repository record for Many-body localization and tensor networks (opens in a new tab)