Nonlinear Models in Quantum Optics through Quantum Algebras

DOI10.2991/jnmp.2001.8.s.3zbMath0974.81071OpenAlexW4236185606MaRDI QIDQ2732445

Sergey M. Chumakov, Ángel Ballesteros

Publication date: 18 December 2001

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

Full work available at URL: https://doi.org/10.2991/jnmp.2001.8.s.3

zbMATH Keywords

second harmonics\(su_q(2)\) algebracomputation of eigenvalues and eigenvectorstrilinear boson Hamiltonian

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Quantum optics (81V80)

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• On quantum integrable models related to nonlinear quantum optics. An algebraic Bethe ansatz approach
• On the spectrum of a Hamiltonian defined onsu_q(2) and quantum optical models

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