The Su-Schrieffer-Heeger (SSH) model, a prime example of a one-dimensional
topologically nontrivial insulator, has been extensively studied in flat
space-time. In recent times, many studies have been conducted to understand the
properties of the low-dimensional quantum matter in curved spacetime, which can
mimic the gravitational event horizon and black hole physics. However, the
impact of curved spacetime on the topological properties of such systems
remains unexplored. Here, we investigate the curved spacetime (CST) version of
the SSH model by introducing a position-dependent hopping parameter. We show,
using different topological markers, that the CST-SSH model can undergo a
topological phase transition. We find that the topologically non-trivial phase
can host zero-energy edge modes, but those edge modes are asymmetric, unlike
the usual SSH model. Moreover, we find that at the topological transition
point, a critical slowdown takes place for zero-energy wave packets near the
boundary, indicating the presence of a horizon, and interestingly, if one moves
even a slight distance away from the transition point, wave packets start
bouncing back and reverse the direction before reaching the horizon. A
semiclassical description of the wave packet trajectories also supports these
results.

Este artículo explora los viajes en el tiempo y sus implicaciones.

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