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We construct two free fermion lattice models exhibiting Hawking paircreation. Specifically, we consider the simplest case of a d=1+1 massless Diracfermion, for which the Hawking effect can be understood in terms of a quench ofthe uniform vacuum state with a non-uniform Hamiltonian that interfaces modeswith opposite chirality. For both our models we find that additional modesarising from the lattice discretization play a crucial role, as they providethe bulk reservoir for the Hawking radiation: the Hawking pairs emerge fromfermions deep inside the Fermi sea scattering off the effective black holehorizon. Our first model combines local hopping dynamics with a translationover one lattice site, and we find the resulting Floquet dynamics to realize acausal horizon, with fermions scattering from the region outside the horizon.For our second model, which relies on a purely local hopping Hamiltonian, wefind the fermions to scatter from the inside. In both cases, for Hawkingtemperatures up to the inverse lattice spacing we numerically find theresulting Hawking spectrum to be in perfect agreement with the Fermi-Diracquantum field theory prediction.

Hawking radiation on the lattice from Floquet and local Hamiltonian quench dynamics