Ray optics analogy for the three-pulse stimulated
photon echo experiment. The rays represent the phase evolution of the
quantum system. (a) After the initial pulse
(τ = 0), the rays fan out with slopes determined by
the value of the offset from the mean frequency of individual members
of the inhomogeneous distribution. The second pulse (first lens)
collimates the rays by converting the superposition into a population
state. The third pulse (second lens) refocuses the rays by converting
the population state to the Hermitian conjugate of the first
superposition state. The echo intensity is proportional to the square
of the field amplitude and thus depends on the amount of constructive
interference generated by the third (rephasing) pulse. For a wide
inhomogeneous distribution, the constructive interference is restricted
to a very short time interval at around t =
τ, depicted by the sharpness of focus produced by the
second lens. (b) The disruption of the smooth phase
evolution during the population period, T, and during
the two coherence periods (τ and t)
leads to a loss of refocusing ability. Thus, by recording the photon
echo as a function of the population period, the fluctuations in the
inhomogeneous distribution (“spectral diffusion”) can be
followed.