Boosting Majorana zero modes

Understand

One-dimensional topological superconductors are known to host Majorana zero modes at domain walls terminating the topological phase.

• Their nonabelian nature allows for processing quantum information by braiding operations which are insensitive to local perturbations, making Majorana zero modes a promising platform for topological quantum computation.
• Motivated by the ultimate goal of executing quantum information processing on a finite timescale, we study domain walls moving at a constant velocity.
• We exploit an effective Lorentz invariance of the Hamiltonian to obtain an exact solution of the associated quasiparticle spectrum and wave functions for arbitrary velocities.