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High Energy Physics - Theory

arXiv:1103.5297 (hep-th)
[Submitted on 28 Mar 2011 (v1), last revised 12 Feb 2012 (this version, v2)]

Title:Massless Dirac Fermions in Electromagnetic Field

Authors:Ahmed Jellal, Abderrahim El Mouhafid, Mohammed Daoud
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Abstract:We study the relations between massless Dirac fermions in an electromagnetic field and atoms in quantum optics. After getting the solutions of the energy spectrum, we show that it is possible to reproduce the 2D Dirac Hamiltonian, with all its quantum relativistic effects, in a controllable system as a single trapped ion through the Jaynes--Cummings and anti-Jaynes--Cummings models. Also we show that under certain conditions the evolution of the Dirac Hamiltonian provides us with Rashba spin-orbit and linear Dresselhaus couplings. Considering the multimode multiphoton Jaynes-Cummings model interacting with N modes of electromagnetic field prepared in general pure quantum states, we analyze the Rabi oscillation. Evaluating time evolution of the Dirac position operator, we determine the Zitterbewegung frequency and the corresponding oscillating term as function of the electromagnetic field.
Comments: 15 pages, 3 tables, 1 figure, clarifications and references added, misprints corrected. Version published in JSTAT
Subjects: High Energy Physics - Theory (hep-th); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Mathematical Physics (math-ph); Quantum Physics (quant-ph)
Cite as: arXiv:1103.5297 [hep-th]
  (or arXiv:1103.5297v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1103.5297
Journal reference: J.Stat.Mech.:P01021,2012
Related DOI: https://doi.org/10.1088/1742-5468/2012/01/P01021

Submission history

From: Ahmed Jellal [view email]
[v1] Mon, 28 Mar 2011 08:11:06 UTC (57 KB)
[v2] Sun, 12 Feb 2012 07:47:35 UTC (57 KB)
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