Quantum dynamics in 1D lattice models with synthetic horizons
We investigate the wave packet dynamics and eigenstate localization in recently proposed generalized lattice models whose low-energy dynamics mimic a quantum field theory in (1+1)D curved spacetime with the aim of creating systems analogous to black holes. We identify a critical slowdown of zero-ene...
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| Format: | Article |
| Language: | English |
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SciPost
2022-08-01
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| Series: | SciPost Physics Core |
| Online Access: | https://scipost.org/SciPostPhysCore.5.3.042 |
| _version_ | 1811282688520224768 |
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| author | Corentin Morice, Dmitry Chernyavsky, Jasper van Wezel, Jeroen van den Brink, Ali G. Moghaddam |
| author_facet | Corentin Morice, Dmitry Chernyavsky, Jasper van Wezel, Jeroen van den Brink, Ali G. Moghaddam |
| author_sort | Corentin Morice, Dmitry Chernyavsky, Jasper van Wezel, Jeroen van den Brink, Ali G. Moghaddam |
| collection | DOAJ |
| description | We investigate the wave packet dynamics and eigenstate localization in recently proposed generalized lattice models whose low-energy dynamics mimic a quantum field theory in (1+1)D curved spacetime with the aim of creating systems analogous to black holes. We identify a critical slowdown of zero-energy wave packets in a family of 1D tight-binding models with power-law variation of the hopping parameter, indicating the presence of a horizon. Remarkably, wave packets with non-zero energies bounce back and reverse direction before reaching the horizon. We additionally observe a power-law localization of all eigenstates, each bordering a region of exponential suppression. These forbidden regions dictate the closest possible approach to the horizon of states with any given energy. These numerical findings are supported by a semiclassical description of the wave packet trajectories, which are shown to coincide with the geodesics expected for the effective metric emerging from the considered lattice models in the continuum limit. |
| first_indexed | 2024-04-13T01:57:04Z |
| format | Article |
| id | doaj.art-50ea59d0e05d4e29a8ab2f3cfe03f65f |
| institution | Directory Open Access Journal |
| issn | 2666-9366 |
| language | English |
| last_indexed | 2024-04-13T01:57:04Z |
| publishDate | 2022-08-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Core |
| spelling | doaj.art-50ea59d0e05d4e29a8ab2f3cfe03f65f2022-12-22T03:07:44ZengSciPostSciPost Physics Core2666-93662022-08-015304210.21468/SciPostPhysCore.5.3.042Quantum dynamics in 1D lattice models with synthetic horizonsCorentin Morice, Dmitry Chernyavsky, Jasper van Wezel, Jeroen van den Brink, Ali G. MoghaddamWe investigate the wave packet dynamics and eigenstate localization in recently proposed generalized lattice models whose low-energy dynamics mimic a quantum field theory in (1+1)D curved spacetime with the aim of creating systems analogous to black holes. We identify a critical slowdown of zero-energy wave packets in a family of 1D tight-binding models with power-law variation of the hopping parameter, indicating the presence of a horizon. Remarkably, wave packets with non-zero energies bounce back and reverse direction before reaching the horizon. We additionally observe a power-law localization of all eigenstates, each bordering a region of exponential suppression. These forbidden regions dictate the closest possible approach to the horizon of states with any given energy. These numerical findings are supported by a semiclassical description of the wave packet trajectories, which are shown to coincide with the geodesics expected for the effective metric emerging from the considered lattice models in the continuum limit.https://scipost.org/SciPostPhysCore.5.3.042 |
| spellingShingle | Corentin Morice, Dmitry Chernyavsky, Jasper van Wezel, Jeroen van den Brink, Ali G. Moghaddam Quantum dynamics in 1D lattice models with synthetic horizons SciPost Physics Core |
| title | Quantum dynamics in 1D lattice models with synthetic horizons |
| title_full | Quantum dynamics in 1D lattice models with synthetic horizons |
| title_fullStr | Quantum dynamics in 1D lattice models with synthetic horizons |
| title_full_unstemmed | Quantum dynamics in 1D lattice models with synthetic horizons |
| title_short | Quantum dynamics in 1D lattice models with synthetic horizons |
| title_sort | quantum dynamics in 1d lattice models with synthetic horizons |
| url | https://scipost.org/SciPostPhysCore.5.3.042 |
| work_keys_str_mv | AT corentinmoricedmitrychernyavskyjaspervanwezeljeroenvandenbrinkaligmoghaddam quantumdynamicsin1dlatticemodelswithsynthetichorizons |