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• W3144368904 abstract "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 [(1+1)D] gravitational backgrounds, including (anti-)de Sitter space-time. Wave packets propagating on the lattice exhibit an eternal slowdown for power-law position-dependent hopping integrals t(x)∝xγ when γ≥1, signaling 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 space-times as they appear in certain gravity theories.Received 17 December 2020Accepted 19 April 2021DOI:https://doi.org/10.1103/PhysRevResearch.3.L022022Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.Published by the American Physical SocietyPhysics Subject Headings (PhySH)Research AreasDensity of statesQuantum aspects of black holesQuantum fields in curved spacetimeTopological materialsPhysical SystemsWeyl semimetalTechniquesTight-binding modelCondensed Matter & Materials PhysicsGravitation, Cosmology & Astrophysics" @default.
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• W3144368904 date "2021-06-09" @default.
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• W3144368904 title "Synthetic gravitational horizons in low-dimensional quantum matter" @default.
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• W3144368904 doi "https://doi.org/10.1103/physrevresearch.3.l022022" @default.
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