2021/04/08 by Corentin Morice, Ali G. Moghaddam, Dmitry Chernyavsky +2 · 1 citation
Physics and Astronomy · #cond-mat.mes-hall #gr-qc
paper · pdf · doi:10.1103/physrevresearch.3.l022022
published as Phys. Rev. Research 3, 022022 (2021) · 6 pages, 5 figures
arxiv created 2021/04/08 · arxiv updated 2021/06/16
We propose a class of lattice models realizable in a wide range of setups whose low-energy dynamics exactly reduces to Dirac fields subjected to (1+1)-dimensional gravitational backgrounds, including (anti-)de Sitter spacetime. Wave-packets propagating on the lattice exhibit an eternal slowdown for power-law position-dependent hopping integrals t(x)∝ xγ when γ≥ 1, signalling the formation of black hole event horizons. For γ< 1 instead the wave-packets behave radically different and bounce off the horizon. We show that the eternal slowdown relates to a zero-energy spectral singularity of the lattice model and that the semiclassical wave packets trajectories coincide with the geodesics on (1+1)D dilaton gravity, paving the way for new and experimentally feasible routes to mimic black hole horizons and realize (1+1)D spacetimes as they appear in certain gravity theories.