Dynamical formation and manipulation of Majorana fermions in driven quantum wires

Abstract

Controlling the dynamics of Majorana fermions (MF) subject to time-varying driving fields is of fundamental importance for the practical realization of topological quantum computing. In this work we study how it is possible to dynamically generate and maintain the topological phase in one-dimensional superconducting nanowires after the temporal variation of the Hamiltonian parameters. Remarkably we show that for a sudden quench the system can never relax towards a state exhibiting fully developed MF, independently of the initial and final Hamiltonians. Only for sufficiently slow protocols the system behaves adiabatically, and the topological phase can be reached. Finally we address the crucial question of how "adiabatic" a protocol must be in order to manipulate the MF inside the topological phase without deteriorating their Majorana character.

5 pages, 4 eps figures

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Cited by in corpus (35)

• Majorana Fermions and Topology in Superconductors
• Quantum Quenches in Chern Insulators
• Quantum quench in a p + i p superfluid: Winding numbers and topological states far from equilibrium
• Ultracold fermions in a cavity-induced artificial magnetic field
• Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments
• Non-adiabatic processes in Majorana qubit systems
• Boosting Majorana zero modes
• Fate of Majorana fermions and Chern numbers after a quantum quench
• Majorana Braiding Dynamics on Nanowires
• Optimal Control of Majorana Zero Modes
• Quench dynamics and parity blocking in Majorana wires
• Survival probability of an edge Majorana in a 1-D p-wave superconducting chain under sudden quenching of parameters
• Universal nonanalytic behavior of the Hall conductance in a Chern insulator at the topologically driven nonequilibrium phase transition
• Universal dynamical scaling of long-range topological superconductors
• Floquet topological phase of nondriven $p$-wave nonequilibrium excitonic insulators
• Optimal suppression of defect generation during a passage across a quantum critical point
• Error generation and propagation in Majorana-based topological qubits
• Edge mode dynamics of quenched topological wires
• The Kibble-Zurek Mechanism in a Topological Phase Transition
• Dissipative time evolution of a chiral state after a quantum quench
• Possibility of adiabatic transport of a Majorana edge state through an extended gapless region
• Topologically driven nonequilibrium phase transitions in diagonal ensembles
• Topological phases of a Kitaev tie
• Effects of geometric frustration in Kitaev chains
• Topological phase transition in the quench dynamics of a one-dimensional Fermi gas
• Dynamical Detection of Topological Phase Transitions in Short-Lived Atomic Systems
• Detecting topological phases via survival probabilities of edge Majorana fermions
• Spin-orbital polarization of Majorana edge states in oxides nanowires
• Edge states, Majorana fermions and topological order in superconducting wires with generalized boundary conditions
• Survival probability in a quenched Majorana chain with an impurity
• Constrained thermalisation and topological superconductivity
• Resilience of topological superconductivity under particle current
• Vortex matter in low dimensional systems with proximity induced superconductivity
• Spatiotemporal Evolution of Topological Order Upon Quantum Quench Across the Critical Point
• Breakdown of local convertibility through Majorana modes in a quantum quench