Large deviations and conditioned monitored quantum systems: a tensor network approach

• URL: http://arxiv.org/abs/2603.24225v1
• Date: Wed, 25 Mar 2026 11:58:47 GMT
• Title: Large deviations and conditioned monitored quantum systems: a tensor network approach
• Abstract summary: Coexistence of different dynamical phases is a hallmark of glassy dynamics.<n>We present a tensor network framework that allows the application of large deviation theory to large quantum systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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