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Resonance

, Volume 23, Issue 12, pp 1375–1393 | Cite as

Second Quantization and Majorana Modes

Particles That are Their Own Antiparticles
  • Arnab Barman RayEmail author
General Article
  • 9 Downloads

Abstract

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.

Keywords

Second quantization Majorana modes bosons fermions antiparticle quantum computation Kitaev chain topology 

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References

  1. [1]
    Valery Shchesnovich, The Second Quantization Method for Indistinguishable Particles, Lecture Notes in Physics, UFABC 2010, arXiv:1308.3275.Google Scholar
  2. [2]
    A Fetter, J DWalecka, Quantum Theory ofMany-particle Systems, Dover Books on Physics, 2003.Google Scholar
  3. [3]
    A Yu Kitaev, Unpaired Majorana Fermions in Quantum Wires, Phys. Usp., Vol.44, pp.131–136, 2001.CrossRefGoogle Scholar
  4. [4]
    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

Copyright information

© Indian Academy of Sciences 2018

Authors and Affiliations

  1. 1.The Institute of OpticsRochesterUSA

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