Abstract
The authors present theoretical results on the dynamical properties of General Majorana Quasiparticles and the unique Majorana Zitterbewegung. The results reveal the fidelity is a good observable to distinguish Majorana from Dirac or Weyl dynamics. Furthermore, a feasible method to detect the Majorana dynamics by using quench and quantum-state tomography has been provided in cold-atomic lattice system.
Highlights
In 1937, Italian theoretical physicist Ettore Majorana noticed that the solution of the Dirac equation could be totally real on the condition that the Dirac gamma matrices are chosen to be pure imaginary
In the cold-atom system, the final state tomography can be experimentally implemented via the quench dynamics, which was developed for the measurement of the Chern number [54,55]
To derive the final general Majorana particle (GMP) state, we introduce the interlayer coupling for the tomography of the GMP states, which will be shown in Sec
Summary
In 1937, Italian theoretical physicist Ettore Majorana noticed that the solution of the Dirac equation could be totally real on the condition that the Dirac gamma matrices are chosen to be pure imaginary. Experimental and theoretical efforts have been devoted to the quantum simulation of the GME, through which powerful and feasible schemes have been formed in trapped ion [4,5,6] and optical waveguide [7] systems. This paper is devoted to simulating the dynamics of a general Majorana particle (GMP) in the cold-atom system. In the cold-atom system, the final state tomography can be experimentally implemented via the quench dynamics, which was developed for the measurement of the Chern number [54,55].
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