Large deviations and conditioned monitored quantum systems: a tensor network approach
Abstract
Coexistence of different dynamical phases is a hallmark of glassy dynamics. This is well-studied in classical systems where the underlying theoretical framework is that of large deviation theory. The presence of a similar phase coexistence has been suggested in monitored quantum many-body systems, but the lack of suitable methods has yet prevented a systematic large deviation analysis. Here we present a tensor network framework that allows the application of large deviation theory to large quantum systems. Building on this, we locate a series of first-order dynamical phase transitions in a monitored discrete-time many-body quantum dynamics, at the level of the trajectory space. Crucially, our approach provides access not only to large-deviation statistics but also to conditioned quantum many-body states, enabling a microscopic characterization of the dynamical phases and their coexistence.
Cite
@article{arxiv.2603.24225,
title = {Large deviations and conditioned monitored quantum systems: a tensor network approach},
author = {María Cea and Marcel Cech and Federico Carollo and Igor Lesanovsky and Mari Carmen Bañuls},
journal= {arXiv preprint arXiv:2603.24225},
year = {2026}
}
Comments
10 pages, 7 figures