In recent days, Rydberg atom quantum simulator platforms have emerged as
novel quantum simulators for physical systems ranging from condensed matter to
particle physics. On a fundamental level, these platforms allow for a direct
test of our understanding of the emergence of quantum statistical mechanics
starting from the laws of quantum dynamics. In this paper, we investigate the
fate of quantum dynamics in a model of Rydberg atoms arranged in a square
ladder geometry, with a Rabi frequency $2\Omega$ and a detuning profile which
is staggered along the longer direction with amplitude $\Delta$. As the
staggering strength $\Delta$ is tuned from $\Delta/\Omega=0\rightarrow\infty$,
the model exhibits a wide class of dynamical phenomena, ranging from (i)
quantum many-body scars (QMBS) ($\Delta/\Omega \sim 0,1$), (ii) integrability
induced slow dynamics and approximate Krylov fractures ($\Delta/\Omega \gg 1$)
. Additionally, by leveraging the underlying chiral nature of the spectrum of
this model Hamiltonian, it is possible to design Floquet protocols leading to
dynamical signatures reminiscent of discrete time-crystalline order and exact
Floquet flat bands. Finally, we study the robustness of these dynamical
features against imperfections in the implementation of the Floquet protocols,
long-range van der Waals interactions and inevitable influences from the
environment in the form of pure dephasing and the finite lifetime of the
Rydberg excited state.

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

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