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cond-mat.stat-mech2026
Vortex screening and the fate of the BKT transition with long-range couplings
Guido Giachetti
The stability of the Berezinskii--Kosterlitz--Thouless phase against long-range interactions remains an open problem. We address this question in the two-dimensional XY model with…
cond-mat.stat-mech2026
Bayesian Monitoring of a Diffusive Particle in One Dimension
Federico Gerbino, Guido Giachetti, Pierre Le Doussal +1
We study the Bayesian monitoring of a single particle diffusing along a line, while an observer tracks it continuously using noisy measurements at each spatial point. The average S…
quant-ph2026
Universal purification dynamics in real non-unitary quantum processes
Federico Gerbino, Donghoon Kim, Guido Giachetti +2
We study purification dynamics in monitored quantum processes governed by ensembles of quantum circuits in different random-matrix symmetry classes. We analyze the universal aspect…