Integrable systems and quantum groups

Roditi, I.

doi:10.1590/s0103-97332000000200016

Cited by 7 publications

(5 citation statements)

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“…In this section we will shortly describe the algebraic Bethe ansatz method and present the Lax operators used to get the solution of the models [42,43]. We begin with the gl(2)-invariant R-matrix, depending on the spectral parameter u,…”

Section: Algebraic Bethe Ansatz Methodsmentioning

confidence: 99%

The exact solution of a generalized two-spins model

Santos¹

2019

Preprint

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Section: Algebraic Bethe Ansatz Methodsmentioning

confidence: 99%

The exact solution of a generalized two-spins model

Santos¹

2019

Preprint

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“…To fix notation we will shortly describe the algebraic Bethe ansatz method, see [39,40,51] for more details. We begin with the gl(2)-invariant R-matrix, depending on the spectral parameter u,…”

Section: The Algebraic Bethe Ansatz Methodsmentioning

confidence: 99%

“…The spectrum of the Hamiltonian (1.1) has appeared in different papers [37,38,39,40,42,43,44,45] using this method. To fix notation we will shortly describe the algebraic Bethe ansatz method, see [39,40,51] for more details. We begin with the gl(2)-invariant R-matrix, depending on the spectral parameter u,…”

Section: The Algebraic Bethe Ansatz Methodsmentioning

confidence: 99%

Bethe states for the two-site Bose–Hubbard model: A binomial approach

et al. 2015

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We calculate explicitly the Bethe vectors states by the algebraic Bethe ansatz method with the gl(2)-invariant R-matrix for the two-site Bose-Hubbard model. Using a binomial expansion of the n-th power of a sum of two operators we get and solve a recursion equation. We calculate the scalar product and the norm of the Bethe vectors states. The form factors of the imbalance current operator are also computed.

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“…In this section, we will briefly review the algebraic Bethe ansatz method and present the transfer matrix used to obtain the solution of the models [6,51]. We begin with the gl(2)-invariant R-matrix, depending on the spectral parameter u:…”

Section: Algebraic Bethe Ansatz Methodsmentioning

confidence: 99%

A bosonic multi-state two-well model

Santos¹,

Foerster²,

Roditi³

2013

J. Phys. A: Math. Theor.

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Abstract. Inspired by the increasing possibility of experimental control in ultracold atomic physics we introduce a new Lax operator and use it to construct and solve models with two wells and two on well states together with its generalization for n on well states. The models are solved by the algebraic Bethe ansatz method and can be viewed as describing two Bose-Einstein condensates allowing for an exchange interaction through Josephson tunneling.

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Integrable systems and quantum groups

Cited by 7 publications

References 0 publications

The exact solution of a generalized two-spins model

The exact solution of a generalized two-spins model

Bethe states for the two-site Bose–Hubbard model: A binomial approach

A bosonic multi-state two-well model

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