Out of Equilibrium Majoranas in Interacting Kitaev Chains

Abstract

We employ a time-dependent real-space local density-of-states method to study the movement and fusion of Majorana zero modes in the 1D interacting Kitaev model, based on the time evolution of many-body states. We analyze the dynamics and both fusion channels of Majoranas using time-dependent potentials, either creating {\it Walls} or {\it Wells}. % focusing on the local density-of-states and charge-density of fermions varying with time. For fast moving Majoranas, we unveil non-equilibrium signatures of the ``strong-zero mode'' operator (quasi parity degeneracy in the full spectrum) and its breakdown in the presence of repulsive Coulomb interactions. Focusing on forming a full electron after fusion, we also discuss upper and lower limits on the Majorana speed needed to reduce non-adiabatic effects and to avoid poisoning due to decoherence.

5 figures

References in corpus (11)

• Non-Abelian Anyons and Topological Quantum Computation
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Epitaxy of Semiconductor-Superconductor nanowires
• Observing Majorana Bound States in p-wave Superconductors Using Noise Measurements in Tunneling Experiments
• Measurement-Only Topological Quantum Computation
• Majorana qubit decoherence by quasiparticle poisoning
• Majorana edge states in interacting one-dimensional systems
• Optimal Control of Majorana Zero Modes
• Spectral properties of one-dimensional Fermi systems after an interaction quench
• Topological order in random interacting Ising-Majorana chains stabilized by many-body localization

Cited by in corpus (5)

• Majorana zero modes in Y-shape interacting Kitaev wires
• Transient effects in quantum dots contacted via topological superconductor
• Challenges in detecting topological superconducting transitions via supercurrent and phase probes in planar Josephson junctions
• Dynamics of Majorana zero modes across hybrid Kitaev chain
• Zero and Nonzero Energy Majorana Modes in an Extended Kitaev Chain