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One-dimensional two-component Bose gas and the algebraic Bethe ansatz

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Abstract

We apply the nested algebraic Bethe ansatz to a model of a one-dimensional two-component Bose gas with a δ-function repulsive interaction. Using a lattice approximation of the L-operator, we find the Bethe vectors of the model in the continuum limit. We also obtain a series representation for the monodromy matrix of the model in terms of Bose fields. This representation allows studying an asymptotic expansion of the monodromy matrix over the spectral parameter.

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Authors and Affiliations

  1. Steklov Mathematical Institute of the RAS, Moscow, Russia

    N. A. Slavnov

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  1. N. A. Slavnov
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Correspondence to N. A. Slavnov.

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Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 183, No. 3, pp. 409–433, June, 2015.

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Slavnov, N.A. One-dimensional two-component Bose gas and the algebraic Bethe ansatz. Theor Math Phys 183, 800–821 (2015). https://doi.org/10.1007/s11232-015-0297-8

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  • DOI: https://doi.org/10.1007/s11232-015-0297-8

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