Time-dependent correlation functions for the bimodal Bose-Hubbard model

DOI10.1007/s10958-016-2730-4zbMath1353.81121OpenAlexW2276645734MaRDI QIDQ294982

N. M. Bogolyubov

Publication date: 17 June 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-016-2730-4

zbMATH Keywords

time-dependent correlation functionsBethe equationsbimodal Bose-Hubbard modelquantum inverse method (QIM)spin Hamiltonian

Mathematics Subject Classification ID

Nuclear physics (81V35) Inverse scattering problems in quantum theory (81U40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Exactly and quasi-solvable systems arising in quantum theory (81U15) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (3)

Time evolution of the atomic inversion for the generalized Tavis–Cummings model—QIM approach ⋮ Exact solution of the extended dimer Bose–Hubbard model with multi-body interactions ⋮ Solution of the classical Yang-Baxter equation with an exotic symmetry, and integrability of a multi-species boson tunnelling model

Cites Work

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• Exactly solvable models of quantum nonlinear optics
• Calculation of norms of Bethe wave functions
• On the quantum inverse scattering method for the DST dimer
• Form factors of the \(XXZ\) Heisenberg spin-\(\frac 12\) finite chain
• Bethe ansatz solutions of the Bose-Hubbard dimer
• Exact solution of generalized Tavis - Cummings models in quantum optics

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