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

Gilberto Santos; Changrim Ahn; Angela Foerster; Itzhak Roditi

doi:10.1016/j.physletb.2015.05.003

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

Gilberto Santos, Changrim Ahn, Angela Foerster, Itzhak Roditi

Department of Physics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	186-189
Number of pages	4
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	746
DOIs	https://doi.org/10.1016/j.physletb.2015.05.003
State	Published - 1 Jun 2015

Bibliographical note

Publisher Copyright:
© 2015 The Authors.

Keywords

Bethe ansatz
Bethe vectors
Bose-Einstein condensation
Form factors

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10.1016/j.physletb.2015.05.003

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abstract = "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.",

keywords = "Bethe ansatz, Bethe vectors, Bose-Einstein condensation, Form factors",

author = "Gilberto Santos and Changrim Ahn and Angela Foerster and Itzhak Roditi",

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T1 - Bethe states for the two-site Bose-Hubbard model

T2 - A binomial approach

AU - Santos, Gilberto

AU - Ahn, Changrim

AU - Foerster, Angela

AU - Roditi, Itzhak

PY - 2015/6/1

Y1 - 2015/6/1

N2 - 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.

AB - 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.

KW - Bethe ansatz

KW - Bethe vectors

KW - Bose-Einstein condensation

KW - Form factors

UR - https://www.scopus.com/pages/publications/84929076465

U2 - 10.1016/j.physletb.2015.05.003

DO - 10.1016/j.physletb.2015.05.003

M3 - Article

AN - SCOPUS:84929076465

SN - 0370-2693

VL - 746

SP - 186

EP - 189

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

ER -

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

Abstract

Bibliographical note

Keywords

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