Fig. 1: Free Dirac Equation.
From: Experimental simulation of Dirac equation in superconducting qubits
a Illustration of the dynamics of four-component spinor. According to the Dirac Hamiltonian, oscillation speeds up with the increase of the particle mass. b The dynamical procedure can be treated as the Rabi oscillation between \(\left\vert 0\right\rangle\) and the bright state \({\left\vert B\right\rangle }_{0}\), which is orthogonal to the dark state \({\left\vert D\right\rangle }_{0}\). They are the superpositions of \(\left\vert 1\right\rangle\) and \(\left\vert 2\right\rangle\), and their probability amplitude varies with mass. c Experimental results(main) and numerical simulation(inset) of the free Dirac equation are demonstrated. The populations of the four states exhibit a single-frequency oscillation with varied evolution time and mass. The colour bar represents the population (shared across all panels).
