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- W4293427424 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." @default.
- W4293427424 created "2022-08-29" @default.
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- W4293427424 date "2022-08-29" @default.
- W4293427424 modified "2023-10-05" @default.
- W4293427424 title "Quantum dynamics in 1D lattice models with synthetic horizons" @default.
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- W4293427424 doi "https://doi.org/10.21468/scipostphyscore.5.3.042" @default.
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