Exactly solvable model for nonlinear light-matter interaction in an arbitrary time-dependent field

Abstract

Exact analytic expressions are derived for the dipole moment and nonlinear current of a one-dimensional quantum particle subject to a short-range attractive potential and an arbitrary time-dependent electric field. An efficient algorithm for the current evaluation is described and a robust implementation suitable for numerical simulations is demonstrated.

The role of the Kramers–Henneberger atom in the higher-order Kerr effect

“…This turns the system into an analogue of a short-range potential with a sole bound (ground) state left. The short-range system has been analysed by Kolesik and collaborators [41,42], showing that in this case the linear Kerr effect persists until ionization. Our calculations shown in figure 1(c) are fully in line with their results for small box sizes.…”

On the relative roles of higher-order nonlinearity and ionization in ultrafast light-matter interactions

“…Second, 3D atomic quantum simulations, e.g., [12,13], involve separating the nonlinear response from the much larger linear response in the full optical response, and this can be prone to numerical issues. It was recently shown in [14] that the 1D atomic model allows for an exact solution for the nonlinear optical response, making it immune to numerical issues, so that qualitative comparison between the more precise 3D atomic model and the reduced 1D atomic model can serve to bolster the conclusions of [11,12].Our diagnostic approach involves a pump-probe scheme involving the electric field profile shown in Fig. 1.…”

“…Physically, our goal is to extract the effective susceptibility experienced by the probe due to the modification of the medium by the strong pump. The time-dependent susceptibility is defined operationally through the following procedure: For a given temporal profile of the electric field Et E pump t E pr t, we calculate the nonlinear current J induced in the 1D atomic system using the exact solutions [14], then a second calculation is done with the pump alone. The difference of the two is therefore the response of the pump-affected system to the probe:…”

Model for ultrashort laser pulse-induced ionization dynamics in transparent solids

“…In any event, photoionization in these small-amplitude time regions is comparatively small. Alternatively, for photoionization there have been recent attempts to treat pulses of arbitrary temporal shape and phase [43][44][45]. The authors note that the method derived in Ref.…”

“…The authors note that the method derived in Ref. [44] is particularly well suited to an EMRE framework.…”