Anomalous waiting-time distributions in postselection-free quantum many-body dynamics under continuous monitoring
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866908928255721472 |
|---|---|
| author | Yamamoto, Kazuki Hamazaki, Ryusuke |
| author_facet | Yamamoto, Kazuki Hamazaki, Ryusuke |
| contents | We investigate waiting-time distributions (WTDs) of quantum jumps in continuously monitored quantum many-body systems, whose unconditional dynamics lead to the trivial infinite-temperature state. We demonstrate that the WTD of a half-chain subsystem exhibits an anomalous tail, markedly deviating from the Poissonian distribution in stark contrast to that of the whole system. By analyzing the spectral properties of the superoperator $\mathscr L_0$, which is defined by removing the jump terms associated with the half-chain subsystem from the full Liouvillian, we find that the long-time behavior with the anomalous tail of the half-chain WTD is governed by the eigenvalue $λ_0\:(<0)$ with the largest real part. We further reveal a qualitative change in the system-size dependence of $λ_0$ as a function of the measurement strength: for sufficiently weak measurement, $λ_0$ decreases proportionally to the system size, while for strong measurement, $λ_0$ scales independently of the system size, signaling the persistence of the anomalous half-chain WTD in the thermodynamic limit. The WTD is extracted solely from the spacetime record of quantum jumps $\{t_i,x_i\}$ and can be experimentally accessed without postselection. Our work establishes a spectral framework for understanding nontrivial WTDs in subsystems of monitored quantum dynamics and provides a novel diagnostics to assess many-body effects on WTDs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_00358 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Anomalous waiting-time distributions in postselection-free quantum many-body dynamics under continuous monitoring Yamamoto, Kazuki Hamazaki, Ryusuke Statistical Mechanics Quantum Gases Quantum Physics We investigate waiting-time distributions (WTDs) of quantum jumps in continuously monitored quantum many-body systems, whose unconditional dynamics lead to the trivial infinite-temperature state. We demonstrate that the WTD of a half-chain subsystem exhibits an anomalous tail, markedly deviating from the Poissonian distribution in stark contrast to that of the whole system. By analyzing the spectral properties of the superoperator $\mathscr L_0$, which is defined by removing the jump terms associated with the half-chain subsystem from the full Liouvillian, we find that the long-time behavior with the anomalous tail of the half-chain WTD is governed by the eigenvalue $λ_0\:(<0)$ with the largest real part. We further reveal a qualitative change in the system-size dependence of $λ_0$ as a function of the measurement strength: for sufficiently weak measurement, $λ_0$ decreases proportionally to the system size, while for strong measurement, $λ_0$ scales independently of the system size, signaling the persistence of the anomalous half-chain WTD in the thermodynamic limit. The WTD is extracted solely from the spacetime record of quantum jumps $\{t_i,x_i\}$ and can be experimentally accessed without postselection. Our work establishes a spectral framework for understanding nontrivial WTDs in subsystems of monitored quantum dynamics and provides a novel diagnostics to assess many-body effects on WTDs. |
| title | Anomalous waiting-time distributions in postselection-free quantum many-body dynamics under continuous monitoring |
| topic | Statistical Mechanics Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2604.00358 |