4.4 Article

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

Journal

EPL
Volume 110, Issue 1, Pages -

Publisher

IOP PUBLISHING LTD
DOI: 10.1209/0295-5075/110/17004

Keywords

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Funding

  1. NSF [PHY-1104403]
  2. Constance and Walter Burke Special Projects Fund in Quantum Information Science
  3. Division Of Physics
  4. Direct For Mathematical & Physical Scien [1104403] Funding Source: National Science Foundation

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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 a Majorana pair per edge. In the first approach, a suitable modulation of the chemical potential simultaneously induces Majorana flat bands and dynamically activates a pre-existing chiral symmetry which is responsible for their protection. In the second approach, the application of effective parity kicks dynamically generates a desired chiral symmetry by suppressing chirality-breaking terms in the static Hamiltonian. Our results demonstrate how the use of time-dependent control enlarges the range of possibilities for realizing gapless topological superconductivity, potentially enabling access to topological states of matter that have no known equilibrium counterpart. Copyright (C) EPLA, 2015

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