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The many-body quantum scar has been identified as an important source of deviation from ergodicity
following its experimental observation in ultracold Rydberg atoms, where the memory of the initial state is
retained. In this talk, I will consider some examples of collective quantum models to elucidate the classical
route to ergodicity and its deviation due to scarring phenomena using the classical quantum correspondence.
I will present the key findings of the thesis, including the emergence of quantum scars from the instability of
the underlying dynamics and their characteristic features, which have also been extended to periodically
driven systems. Additionally, I will discuss their detection, especially through the dynamics of out-of-time-
ordered correlators (OTOCs), that can also be used to probe the degree of ergodicity. Finally, I will elaborate
the relevance of these results in the context of present day experiments. |