Universal first-passage time statistics for quantum diffusion
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917062543147008 |
|---|---|
| author | Ladenburger, Guido Schmolke, Finn Lutz, Eric |
| author_facet | Ladenburger, Guido Schmolke, Finn Lutz, Eric |
| contents | First-passage phenomena play a fundamental role in classical stochastic processes. We here exactly solve a quantum first-passage time problem for quantum diffusion driven by measurement noise, a generalization of classical Brownian motion. Such continuous monitoring may trap the measured quantum system in a decoherence-free subspace, a fraction of the available state space that is isolated from the surroundings, and thus plays an important role in quantum information science. We analytically determine the first-passage time distribution, whose form neither depends on the system Hamiltonian nor on the measurement operator, and is therefore universal. These results provide a general framework to investigate the first-passage statistics of diffusive quantum trajectories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_03455 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Universal first-passage time statistics for quantum diffusion Ladenburger, Guido Schmolke, Finn Lutz, Eric Quantum Physics Statistical Mechanics First-passage phenomena play a fundamental role in classical stochastic processes. We here exactly solve a quantum first-passage time problem for quantum diffusion driven by measurement noise, a generalization of classical Brownian motion. Such continuous monitoring may trap the measured quantum system in a decoherence-free subspace, a fraction of the available state space that is isolated from the surroundings, and thus plays an important role in quantum information science. We analytically determine the first-passage time distribution, whose form neither depends on the system Hamiltonian nor on the measurement operator, and is therefore universal. These results provide a general framework to investigate the first-passage statistics of diffusive quantum trajectories. |
| title | Universal first-passage time statistics for quantum diffusion |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2511.03455 |