Couplings to classical and non-classical squeezed white noise as stationary Markov processes

DOI10.2977/prims/1145476415zbMath1022.81024OpenAlexW1983588450MaRDI QIDQ1607962

Jürgen Hellmich, Reinhard Honegger, Burkhard Kümmerer, Claus Köstler, Alfred Rieckers

Publication date: 27 October 2003

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1145476415

zbMATH Keywords

quantum stochastic calculusquantum dynamical semigroupssqueezed statessqueezed white noise states

Mathematics Subject Classification ID

Quantum optics (81V80) Noncommutative probability and statistics (46L53) Quantum stochastic calculus (81S25)

Related Items

Asymptotic equivalence of quantum stochastic models ⋮ The series product for Gaussian quantum input processes ⋮ Quasifree stochastic cocycles and quantum random walks ⋮ Quantum filtering for multiple input multiple output systems driven by arbitrary zero-mean jointly Gaussian input fields

Cites Work

• Quantum Ito's formula and stochastic evolutions
• Quasi-free quantum stochastic integrals for the CAR and CCR
• Markov dilations on \(W^ *\)-algebras
• Notes on non-commutative integration
• Quantum detailed balance and KMS condition
• Squeezing of optical states on the CCR-algebra
• Hilbert modules in quantum electro dynamics and quantum probability
• Hilbert modules and stochastic dilation of a quantum dynamical semigroup on a von Neumann algebra
• The Wigner semi-circle law in quantum electro dynamics
• Quasi-free states of the C.C.R.-algebra and Bogoliubov transformations
• States of the Clifford algebra
• On quasifree states of the canonical commutation relations. I
• On quasifree states of the canonical commutation relations. II
• Optical communication with two-photon coherent states--Part I: Quantum-state propagation and quantum-noise
• A system of quantum stochastic differential equations in terms of non-equilibrium thermo field dynamics
• Decomposition of Positive Sesquilinear Forms and the Central Decomposition of Gauge-Invariant Quasi-Free States on the Weyl-Algebra
• Squeezed Light
• Squeezing Bogoliubov transformations on the infinite mode CCR-algebra
• Quantum stochastic processes
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item