Numerical And Theoretical Studies Of Pair Production In An Intense Standing-wave Laser Field

The remarkable development of strong laser technology provides strong impetus to the theoretical studies of pair production in the strong laser field.To understand the Schwinger effect in a spatially inhomogeneous oscillating field,the electron/positron pro-duction in an intense standing-wave field is computed in the non-perturbative regime by solving the Dirac equation numerically and the spatial symmetry is used to overcome the huge computation cost.The dipole approximation is beyond and many characteris-tic features of the pair production in the standing-wave field are illustrated compared to homogeneous oscillating field.Characteristic structures of resonance rings are revealed which directly display multi-photon pair production channels.The particle’s effective mass can be extracted from the resonance rings to verified effective mass model and the dressed energy could be well estimated by the effective mass.In particular,featured breaks and distortion of the res-onance rings are observed,which are proved to be an evidence of the band structure of the particle’s energy in the standing wave.The energy gap result from the level splitting caused by coupling of the degenerate states by exchanging photons and it could be ob-tained by the dynamical Rabi frequency between the degenerate states.The energy gap model is justified by recovering the resonance ring’s distortion and breaks which indicates the energy gap could be gained through the measurement of the breaking point.The chan-nel closing effect and the non-perturbative feature of the process are analyzed through the total particle yield.