Second Quantization and Majorana Modes
- 10 Downloads
This article reviews the basic concepts of second quantization as used in condensed matter physics. The Kitaev chain was the first system shown to exhibitMajorana zeromodes, which exhibit novel statistics and thus find enormous applications in topological quantum computation. Simple calculations of the band structure and density of states showing the presence of Majorana zero modes are presented.
KeywordsSecond quantization Majorana modes bosons fermions antiparticle quantum computation Kitaev chain topology
Unable to display preview. Download preview PDF.
- Valery Shchesnovich, The Second Quantization Method for Indistinguishable Particles, Lecture Notes in Physics, UFABC 2010, arXiv:1308.3275.Google Scholar
- A Fetter, J DWalecka, Quantum Theory ofMany-particle Systems, Dover Books on Physics, 2003.Google Scholar
- S D Sarma, M Freedman, C Nayak, Majorana Zero Modes and Topological Quantum Computation, npj Quantum Information 1, Article number: 15001, 2015. DOI: https://doi.org/10.1038/npjqi.2015.1Google Scholar