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.

Questo articolo esplora i giri e le loro implicazioni.

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