English

Majorana fermions, supersymmetry and thermofield dynamics

Statistical Mechanics 2022-01-05 v1 Quantum Physics

Abstract

In this work we show the existence of supersymmetry and degeneracy for an arbitrary number of Majorana fermions (even or odd) without to invoke any symmetry of Hamiltonian. Next, we analyze the supersymmetry at finite temperature using the thermofield dynamics formalism. Furthermore we derive thermal braiding operators through the Bogoliubov transformations and we find its action on a thermal Bell state.

Keywords

Cite

@article{arxiv.2004.08647,
  title  = {Majorana fermions, supersymmetry and thermofield dynamics},
  author = {Marco A. S. Trindade and Sergio Floquet},
  journal= {arXiv preprint arXiv:2004.08647},
  year   = {2022}
}