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TT: Fachverband Tiefe Temperaturen

TT 11: Topology: Quantum Hall Systems

TT 11.6: Talk

Tuesday, September 6, 2022, 11:00–11:15, H10

Synthetic gravitational horizons in low-dimensional quantum matter — •Corentin Morice¹, Ali G. Moghaddam^2,3, Dmitry Chernyavsky², Jasper van Wezel¹, and Jeroen van den Brink^2,4 — ¹Institute for Theoretical Physics and Delta Institute for Theoretical Physics, University of Amsterdam, 1090 GL Amsterdam, The Netherlands — ²Institute for Theoretical Solid State Physics, IFW Dresden, Helmholtzstrasse 20, 01069 Dresden, Germany — ³Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 45137-66731, Iran — ⁴Institute for Theoretical Physics and Würzburg-Dresden Cluster of Excellence ct.qmat, Technische Universitt Dresden, 01069 Dresden, German

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)∝ x^γ 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.