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Open Quantum Systems Decoherence Quantum Simulation

Generalized fermion algebra

arXiv
Authors: Won Sang Chung, Mohammed Daoud

Year

2014

Paper ID

46168

Status

Preprint

Abstract Read

~2 min

Abstract Words

62

Citations

N/A

Abstract

A one-parameter generalized fermion algebra {cal B}_κ(1) is introduced. The Fock representation is studied. The associated coherent states are constructed and the polynomial representation, in the Bargmann sense, is derived. A special attention is devoted to the limiting case κ→ 0 where the fermionic coherent states, labeled by Grassmann variables, are obtained. The physical relevance of the algebra is illustrated throughout Calogero-Sutherland system.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2014 reference point for readers tracking recent quantum research.
  • A one-parameter generalized fermion algebra cal B_κ(1) is introduced.

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