2016/06/02 by L H Ymai, A P Tonel, A Foerster +1 · 19 citations
Mathematics · Physics and Astronomy · #Algebraic number #Algebraic structures and combinatorial models #Ansatz #Bethe ansatz #Boson #Conserved quantity #Integrable system #Quantum #Quantum chaos and dynamical systems #Quantum inverse scattering method #Quantum many-body systems #Transfer matrix #cond-mat.quant-gas #math-ph #math.MP #nlin.SI #quant-ph
paper · pdf · doi:10.1088/1751-8121/aa7227
published in Journal of Physics A Mathematical and Theoretical 50(26), 264001 (Institute of Physics) · 14 pages, 1 figure
arxiv created 2016/06/02 · openalex created_date 2016/06/24 · openalex publication_date 2017/05/10 · arxiv updated 2017/06/13 · openalex updated_date 2026/08/05
Abstract In this work we present a general construction of integrable models describing boson tunneling in multi-well systems. We show how the models may be derived through the quantum inverse scattering method and solved by algebraic Bethe ansatz means. From the transfer matrix we find only two conserved operators. However, we construct additional conserved operators through an alternative approach. As a consequence the models admit multiple pseudovacua, each associated with a set of Bethe ansatz equations (BAEs). We show that all sets of BAEs are needed to obtain a complete set of eigenstates.