Synthetic gravitational horizons in low-dimensional quantum matter
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 slo...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2021-06-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.L022022 |
| _version_ | 1797211023947595776 |
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| author | Corentin Morice Ali G. Moghaddam Dmitry Chernyavsky Jasper van Wezel Jeroen van den Brink |
| author_facet | Corentin Morice Ali G. Moghaddam Dmitry Chernyavsky Jasper van Wezel Jeroen van den Brink |
| author_sort | Corentin Morice |
| collection | DOAJ |
| description | 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)∝x^{γ} 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. |
| first_indexed | 2024-04-24T10:19:54Z |
| format | Article |
| id | doaj.art-e0949fa63f68427781b0625d055d0a37 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:19:54Z |
| publishDate | 2021-06-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-e0949fa63f68427781b0625d055d0a372024-04-12T17:10:37ZengAmerican Physical SocietyPhysical Review Research2643-15642021-06-0132L02202210.1103/PhysRevResearch.3.L022022Synthetic gravitational horizons in low-dimensional quantum matterCorentin MoriceAli G. MoghaddamDmitry ChernyavskyJasper van WezelJeroen van den BrinkWe 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)∝x^{γ} 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.http://doi.org/10.1103/PhysRevResearch.3.L022022 |
| spellingShingle | Corentin Morice Ali G. Moghaddam Dmitry Chernyavsky Jasper van Wezel Jeroen van den Brink Synthetic gravitational horizons in low-dimensional quantum matter Physical Review Research |
| title | Synthetic gravitational horizons in low-dimensional quantum matter |
| title_full | Synthetic gravitational horizons in low-dimensional quantum matter |
| title_fullStr | Synthetic gravitational horizons in low-dimensional quantum matter |
| title_full_unstemmed | Synthetic gravitational horizons in low-dimensional quantum matter |
| title_short | Synthetic gravitational horizons in low-dimensional quantum matter |
| title_sort | synthetic gravitational horizons in low dimensional quantum matter |
| url | http://doi.org/10.1103/PhysRevResearch.3.L022022 |
| work_keys_str_mv | AT corentinmorice syntheticgravitationalhorizonsinlowdimensionalquantummatter AT aligmoghaddam syntheticgravitationalhorizonsinlowdimensionalquantummatter AT dmitrychernyavsky syntheticgravitationalhorizonsinlowdimensionalquantummatter AT jaspervanwezel syntheticgravitationalhorizonsinlowdimensionalquantummatter AT jeroenvandenbrink syntheticgravitationalhorizonsinlowdimensionalquantummatter |