Adiabatic elimination in quantum stochastic models

DOI10.1007/s00220-008-0513-6zbMath1153.82010arXiv0707.0686OpenAlexW3100023777MaRDI QIDQ2517953

Luc Bouten, Andrew Silberfarb

Publication date: 12 January 2009

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.0686

Mathematics Subject Classification ID

Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items (8)

Asymptotic equivalence of quantum stochastic models ⋮ Approximation and limit theorems for quantum stochastic models with unbounded coefficients ⋮ On the small mass limit of quantum Brownian motion with inhomogeneous damping and diffusion ⋮ Emergence of jumps in quantum trajectories via homogenization ⋮ Characteristic operator functions for quantum input-plant-output models and coherent control ⋮ Discrete approximation of quantum stochastic models ⋮ Commutativity of the adiabatic elimination limit of fast oscillatory components and the instantaneous feedback limit in quantum feedback networks ⋮ Zeno dynamics for open quantum systems

Cites Work

• Approximation of semi-groups of operators
• Quantum Ito's formula and stochastic evolutions
• The weak coupling limit as a quantum functional central limit
• Extended weak coupling limit for Pauli-Fierz operators
• Some probabilistic problems and methods in singular perturbations
• Singular perturbation of quantum stochastic differential equations with coupling through an oscillator mode
• A limit theorem for perturbed operator semigroups with applications to random evolutions
• Quantum flows as Markovian limit of emission, absorption and scattering interactions
• Remarks on pseudo-resolvents and infinitesimal generators of semi-groups
• Quantum noise. A handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics.
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