Universal first-passage time statistics for quantum diffusion

• URL: http://arxiv.org/abs/2511.03455v1
• Date: Wed, 05 Nov 2025 13:21:55 GMT
• Title: Universal first-passage time statistics for quantum diffusion
• Authors: Guido Ladenburger, Finn Schmolke, Eric Lutz,
• Abstract summary: We analytically determine the first-passage time distribution, whose form neither depends on the system Hamiltonian nor on the measurement operator.<n>These results provide a general framework to investigate the first-passage statistics of diffusive quantum trajectories.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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