Time domain Stokes mechanism of pair correlated k gap solitons in nonlinear photonic time crystal slabs

Pair generation in time-varying media is commonly attributed to time reflection at temporal boundaries or to amplification inside momentum k gaps.

Here we show that these two processes are connected by the time domain Stokes phenomenon.

A finite duration photonic time crystal (PTC) slab provides the necessary Stokes connection between the incident vacuum mode, transient k gap amplification, and time boundary scattering.

With Kerr nonlinearity, the otherwise unbounded amplification is arrested, spawning Kerr stabilized k gap solitons.

When these solitons cross the exit boundary of the time slab, Stokes induced mode conversion produces a secondary pair generation process, yielding four spatially separated and entangled pulse branches.

Detection of a backward propagating light pulse therefore heralds its forward propagating partner.

We further propose combined Hanbury Brown Twiss and Hong Ou Mandel measurements to test their nonclassical correlations.

These results reveal a link between asymptotic Stokes physics and quantum temporal scattering in PTCs, and suggest a route toward ultrafast heralded quantum light sources.