A Brief Review of the “ETH-Approach to Quantum Mechanics”

J Fröhlich - Frontiers in Analysis and Probability: In the Spirit of the …, 2020 - Springer
To begin with, some of the conundrums concerning Quantum Mechanics and its
interpretation (s) are recalled. Subsequently, a sketch of the “ETH-Approach to Quantum …

On entropy production of repeated quantum measurements II. Examples

T Benoist, N Cuneo, V Jakšić, CA Pillet - Journal of Statistical Physics, 2021 - Springer
We illustrate the mathematical theory of entropy production in repeated quantum
measurement processes developed in a previous work by studying examples of quantum …

Concentration inequalities for output statistics of quantum markov processes

F Girotti, JP Garrahan, M Guţă - Annales Henri Poincaré, 2023 - Springer
We derive new concentration bounds for time averages of measurement outcomes in
quantum Markov processes. This generalizes well-known bounds for classical Markov …

Exponential selection and feedback stabilization of invariant subspaces of quantum trajectories

NH Amini, M Bompais, C Pellegrini - SIAM Journal on Control and …, 2024 - SIAM
We show that quantum trajectories become exponentially fast supported by one of their
minimal invariant subspaces. The exponential convergence is established in expectation by …

The appearance of particle tracks in detectors

M Ballesteros, T Benoist, M Fraas, J Fröhlich - … in Mathematical Physics, 2021 - Springer
The phenomenon that a quantum particle propagating in a detector, such as a Wilson cloud
chamber, leaves a track close to a classical trajectory is analyzed. We introduce an idealized …

The appearance of particle tracks in detectors. II. The semi-classical realm

T Benoist, M Fraas, J Fröhlich - Journal of Mathematical Physics, 2022 - pubs.aip.org
The appearance of tracks, close to classical orbits, left by charged quantum particles
propagating inside a detector, such as a cavity periodically illuminated by light pulses, is …

Perturbation theory for weak measurements in quantum mechanics, systems with finite-dimensional state space

M Ballesteros, N Crawford, M Fraas, J Fröhlich… - Annales Henri …, 2019 - Springer
The quantum theory of indirect measurements in physical systems is studied. The example
of an indirect measurement of an observable represented by a self-adjoint operator NN with …

Particle Trajectories for Quantum Maps

Y Borns-Weil, I Oltman - Annales Henri Poincaré, 2024 - Springer
We study the trajectories of a semiclassical quantum particle under repeated indirect
measurement by Kraus operators, in the setting of the quantized torus. In between …

Monitoring continuous spectrum observables: the strong measurement limit

M Bauer, D Bernard, T Jin - SciPost Physics, 2018 - scipost.org
We revisit aspects of monitoring observables with continuous spectrum in a quantum system
subject to dissipative (Lindbladian) or conservative (Hamiltonian) evolutions. After recalling …

[图书][B] Applications of Semiclassical Analysis on the Quantized Torus

Y Borns-Weil - 2023 - search.proquest.com
The quantized torus is a finite-dimensional Hilbert space that represents quantum
mechanics with periodic phase space. The space can act as a toy model for many quantum …