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This study applies space-time duality to reveal how $n$-time full counting statistics simplify in nonequilibrium quantum systems following a global quench. By demonstrating that ballistic transport leads to a "time-shell" structure where correlations depend only on the earliest measurement time, the work provides significant analytical progress for understanding fluctuations of conserved charges in both free and interacting models. This advancement addresses core challenges in analyzing complex many-body dynamics driven far from equilibrium within quantum computing theory.
Researchers Map n-Time Cumulant Function After Quantum Quenches

We investigate the $n$-time cumulant generating function, or $n$-Full Counting Statistics, $n$-FCS, of extensive $U(1)$ charges following a quantum quench. Exploiting space-time duality, we characterise this function when evolving from initial states symmetric under the action of the charge.
Riccardo Travaglino, Pasquale Calabrese of the SISSA and INFN Sezione di Trieste and Katja Klobas, Bruno Bertini of the University of Birmingham, have developed a comprehensive description of the n-time cumulant function, or n-Full Counting Statistics (n-FCS), following global quantum quenches. Their work investigates how extensive U(1)…
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