Invariant measure for stochastic Schrödinger equations
DOI10.1007/s00023-020-01001-4zbMath1456.81289arXiv1907.08485OpenAlexW3120698439MaRDI QIDQ2223553
Tristan Benoist, Martin Fraas, Yan Pautrat, Clément Pellegrini
Publication date: 29 January 2021
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.08485
Dynamical aspects of measure-preserving transformations (37A05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum stochastic calculus (81S25) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) PDEs with randomness, stochastic partial differential equations (35R60) Stochastic mechanics (including stochastic electrodynamics) (81P20)
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Cites Work
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- Poisson and diffusion approximation of stochastic master equations with control
- Markov chains approximation of jump-diffusion stochastic master equations
- Quantum Ito's formula and stochastic evolutions
- From repeated to continuous quantum interactions
- Quantum trajectories and measurements in continuous time. The diffusive case
- Quantum stochastic calculus and quantum nonlinear filtering
- Markovian master equations
- Markovian master equations. II
- On the generators of quantum dynamical semigroups
- Perturbation theory for weak measurements in quantum mechanics, systems with finite-dimensional state space
- Constructing quantum measurement processes via classical stochastic calculus
- Existence, uniqueness and approximation of a stochastic Schrödinger equation: The diffusive case
- THE STRUCTURES OF STATE SPACE CONCERNING QUANTUM DYNAMICAL SEMIGROUPS
- On the Asymptotic Behaviour of Some Stochastic Differential Equations for Quantum States
- Quantum Measurement and Control
- Quantum stochastic processes as models for state vector reduction
- ABSOLUTE CONTINUITY AND SINGULARITY OF LOCALLY ABSOLUTELY CONTINUOUS PROBABILITY DISTRIBUTIONS. I
- A pathwise ergodic theorem for quantum trajectories
- Exploring the Quantum
- Quantum Markovian Subsystems: Invariance, Attractivity, and Control
- Completely positive dynamical semigroups of N-level systems
- Computing the rates of measurement-induced quantum jumps
- Continual Measurements in Quantum Mechanics and Quantum Stochastic Calculus
- Purification of quantum trajectories
- Quantum noise. A handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics.
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