Spiking and collapsing in large noise limits of SDEs

DOI10.1214/22-aap1819arXiv1810.05629OpenAlexW2895934396MaRDI QIDQ6103973

Joseph Najnudel, Clément Pellegrini, Raphaël Chetrite, Cédric Bernardin, Reda Chhaibi

Publication date: 5 June 2023

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.05629

zbMATH Keywords

quantum measurementquantum collapselimit theorems for stochastic processeslarge noise limitsspike process

Mathematics Subject Classification ID

Random fields (60G60) Quantum measurement theory, state operations, state preparations (81P15) Jump processes on general state spaces (60J76)

Related Items (2)

Quantum resetting in continuous measurement induced dynamics of a qubit ⋮ Stochastic spikes and Poisson approximation of one-dimensional stochastic differential equations with applications to continuously measured quantum systems

Cites Work

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• Perturbation theory for weak measurements in quantum mechanics, systems with finite-dimensional state space
• Stochastic spikes and strong noise limits of stochastic differential equations
• Real time imaging of quantum and thermal fluctuations: the case of a two-level system
• Emergence of jumps in quantum trajectories via homogenization
• Stochastic spikes and Poisson approximation of one-dimensional stochastic differential equations with applications to continuously measured quantum systems
• Stochastic-Process Limits
• Zooming in on quantum trajectories
• Random Perturbations of Dynamical Systems
• Quantum Measurement and Control
• Quantum Theory for Mathematicians
• Computing the rates of measurement-induced quantum jumps

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