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Title: Can a local measurement detect a dynamical transition in large systems
Plain: The return probability shrinks exponentially with system size, so it cannot be measured in big systems. The question is whether some quantity measured on a few sites shows the same sharp kinks.
Precise: For interacting lattice systems with $N\to \infty$, is there a local or few-body observable, or a measurable distribution such as the full counting statistics of the order parameter, whose time dependence is nonanalytic exactly at the DQPT times $t_c$? Answer yes or no, with a construction.
Settled by: A proof or explicit construction in an interacting nonintegrable model, demonstrated in a quantum simulator with more than about 50 sites.
Kind: well-posed
Answer type: yes-no
References: (empty)
Literature status: open
Status note: (empty)
Posed since: (empty)