Squeezing Bogoliubov transformations on the infinite mode CCR-algebra

DOI10.1063/1.531656zbMath0904.46059OpenAlexW1971202138MaRDI QIDQ5284861

Alfred Rieckers, Reinhard Honegger

Publication date: 21 January 1999

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

Full work available at URL: https://doi.org/10.1063/1.531656

zbMATH Keywords

Fock representationBogoliubov transformationtransmission rateoptimal communicationsymplectic transformationssqueezed states of lightquadratic Hamiltoniansone-boson test function spacestrongly continuous symplectic groups on arbitrary complex pre-Hilbert spaceunbounded symplectic transformations

Mathematics Subject Classification ID

Quantum optics (81V80) Applications of functional analysis in quantum physics (46N50)

Related Items (7)

Derivative couplings in gravitational production in the early universe ⋮ Infinite mode quantum Gaussian states ⋮ Quasifree stochastic cocycles and quantum random walks ⋮ Unitary quantization of a scalar charged field and Schwinger effect ⋮ Unitary implementations of one-parameter squeezing groups ⋮ Enlarged test-function spaces for the global free folia dynamics on the CCR-algebra ⋮ Couplings to classical and non-classical squeezed white noise as stationary Markov processes

Cites Work

• Unitary equivalence of Fock representations on the Weyl algebra

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