%0 Journal Article %1 Morice_2022 %A Morice, Corentin %A Chernyavsky, Dmitry %A van Wezel, Jasper %A van den Brink, Jeroen %A Moghaddam, Ali %D 2022 %I SciPost %J SciPost Phys. Core %K a b %N 3 %P 042 %R 10.21468/scipostphyscore.5.3.042 %T Quantum dynamics in 1D lattice models with synthetic horizons %U https://doi.org/10.21468%2Fscipostphyscore.5.3.042 %V 5 %X We investigate the wave packet dynamics and eigenstate localization in recently proposed generalized lattice models whose low-energy dynamics mimics 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.

@article{Morice_2022, abstract = {We investigate the wave packet dynamics and eigenstate localization in recently proposed generalized lattice models whose low-energy dynamics mimics 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.}, added-at = {2023-05-31T12:24:23.000+0200}, author = {Morice, Corentin and Chernyavsky, Dmitry and van Wezel, Jasper and van den Brink, Jeroen and Moghaddam, Ali}, biburl = {https://www.bibsonomy.org/bibtex/2d7e9fc429e3915b5cdbd104b5ea04874/ctqmat}, day = 29, description = {Quantum dynamics in 1D lattice models with synthetic horizons}, doi = {10.21468/scipostphyscore.5.3.042}, interhash = {f33e7fa2d998c863dd05c24232f3911c}, intrahash = {d7e9fc429e3915b5cdbd104b5ea04874}, journal = {SciPost Phys. Core}, keywords = {a b}, month = {08}, number = 3, pages = 042, publisher = {SciPost}, timestamp = {2023-05-31T12:24:23.000+0200}, title = {Quantum dynamics in 1D lattice models with synthetic horizons}, url = {https://doi.org/10.21468%2Fscipostphyscore.5.3.042}, volume = 5, year = 2022 }