Large deviations and conditioned monitored quantum systems: a tensor network approach
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866915890754224128 |
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| author | Cea, María Cech, Marcel Carollo, Federico Lesanovsky, Igor Bañuls, Mari Carmen |
| author_facet | Cea, María Cech, Marcel Carollo, Federico Lesanovsky, Igor Bañuls, Mari Carmen |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_24225 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Large deviations and conditioned monitored quantum systems: a tensor network approach Cea, María Cech, Marcel Carollo, Federico Lesanovsky, Igor Bañuls, Mari Carmen Quantum Physics Quantum Gases Statistical Mechanics 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. |
| title | Large deviations and conditioned monitored quantum systems: a tensor network approach |
| topic | Quantum Physics Quantum Gases Statistical Mechanics |
| url | https://arxiv.org/abs/2603.24225 |