G. Perfetto

Phase transitions in first-detection statistics of monitored long-range quantum walks

In a quantum walk, the first-detection return probability (FDRP) characterizes salient features, determining whether the quantum walk is transient or recurrent. We study the FDRP of quantum walks on a chain where the initial site is stroboscopically monitored by a detector and the walker performs long-range hopping bet...

Exact first-detection probability in a locally monitored solvable quantum circuit

We study the interplay between local stroboscopic measurements and the unitary quantum circuit dynamics of the deterministic Floquet-quantum East model. We derive exact analytical results for the probability of first detecting a subset of qubits back in their initial state. This is achieved via a renewal equation linki...

Thermodynamic phases in first detected return times of quantum many-body systems