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Emergent of Majorana Fermion mode and Dirac Equation in Cavity Quantum Electrodynamics

2013/09/30 by Sujit Sarkar, Sarkar, Sujit · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Mechanical and Optical Resonators #Quantum optics and atomic interactions #cond-mat.mes-hall #quant-ph

paper · pdf · doi:10.48550/arxiv.1309.7742

13 pages, no figure, comments are well come

arxiv created 2013/09/30 · arxiv updated 2013/10/01

Abstract

We present the results of low lying excitation of coupled optical cavity arrays. We derive the Dirac equation for this system and explain the existence of Majorana fermion mode in the system. We present quite a few analytical relations between the Rabi frequency oscillation and the atom-photon coupling strength to achieve the different physical situation of our study and also the condition for massless excitation in the system. We present several analytical relations between the Dirac spinor field, order and disorder operators for our systems. We also show that the Luttinger liquid physics is one of the intrinsic concept in our system.

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