Quantum Scars and Caustics in Majorana Billiards

Kavli Affiliate: Michael Wimmer

| First 5 Authors: R. Johanna Zijderveld, A. Mert Bozkurt, Michael Wimmer, İnanç Adagideli,

| Summary:

We demonstrate that the classical dynamics influence the localization
behaviour of Majorana wavefunctions in Majorana billiards. By using a
connection between Majorana wavefunctions and eigenfunctions of a normal state
Hamiltonian, we show that Majorana wavefunctions in both p-wave and s-wave
topological superconductors inherit the properties of the underlying normal
state eigenfunctions. As an example, we demonstrate that Majorana wavefunctions
in topological superconductors with chaotic shapes feature quantum scarring.
Furthermore, we show a way to manipulate a localized Majorana wavefunction by
altering the underlying classical dynamics using a local potential away from
the localization region. Finally, in the presence of chiral symmetry breaking,
we find that the Majorana wavefunction in convex-shaped Majorana billiards
exhibits caustics formation, reminiscent of a normal state system with magnetic
field.

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