Field Induced Oscillation of Two Majorana Modes in a Quantum Ring

We calculate the topological boundary modes found for quantum wire for a quantum ring. For the symmetric ring we find analytical solutions for two quasi-particles identifiable as the Majorana states and for asymmetric ring, we have also find approximate solution. By turning on a small field at time...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2018-11
Main Authors: Yu, Yue, Kwok Yip Szeto
Format: Article
Language:English
Subjects:
Computer memory
Exact solutions
Field strength
Quantum computing
Quantum phenomena
Quantum wires
Qubits (quantum computing)
Rings (mathematics)
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We calculate the topological boundary modes found for quantum wire for a quantum ring. For the symmetric ring we find analytical solutions for two quasi-particles identifiable as the Majorana states and for asymmetric ring, we have also find approximate solution. By turning on a small field at time zero, we find a field induced oscillation of the Majorana states that was initially localized. The range of validity of our solution, the relation between the period of oscillation and the coin parameter and field strength, and the encoding of a message of the on/off of the field using the Majorana states are discussed. Our results suggest ways to reduce decoherence for small systems, thereby providing a good candidate for quantum memory and computing as the Majorana qubit is topologically protected.
ISSN:2331-8422