Semiclassical calculation of the photoproduction of breather modes in the SineGordon theory

When a photon is incident on a 1 + 1 dimensional system described by the Sine–Gordon theory, transitions can occur from the ground state to soliton–antisoliton bound states called breather modes. We derive the lowest order Wentzel–Kramers–Brillouin (WKB) wave funetionals for these states and use them to estimate the transition rates. The transition to the lowest energy breather mode always dominates. The transition rates to the higher energy …