scholarly journals Nested algebraic Bethe ansatz for orthogonal and symplectic open spin chains

2020 ◽  
Vol 952 ◽  
pp. 114909 ◽  
Author(s):  
Allan Gerrard ◽  
Vidas Regelskis
Keyword(s):  
Bethe Ansatz ◽  
Spin Chains ◽  
Algebraic Bethe Ansatz

scholarly journals Nested Algebraic Bethe Ansatz for Open Spin Chains with Even Twisted Yangian Symmetry

2018 ◽  
Vol 20 (2) ◽  
pp. 339-392 ◽  
Author(s):  
Allan Gerrard ◽  
Niall MacKay ◽  
Vidas Regelskis
Keyword(s):  
Bethe Ansatz ◽  
Spin Chains ◽  
Algebraic Bethe Ansatz ◽  
Twisted Yangian ◽  
Yangian Symmetry

scholarly journals Factorization identities and algebraic Bethe ansatz for $$ {D}_2^{(2)} $$ models

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Rafael I. Nepomechie ◽  
Ana L. Retore
Keyword(s):  
Bethe Ansatz ◽  
Spin Chain ◽  
Spin Chains ◽  
Transfer Matrices ◽  
Algebraic Bethe Ansatz ◽  
Continuous Parameter

Abstract We express $$ {D}_2^{(2)} $$ D 2 2 transfer matrices as products of $$ {A}_1^{(1)} $$ A 1 1 transfer matrices, for both closed and open spin chains. We use these relations, which we call factorization identities, to solve the models by algebraic Bethe ansatz. We also formulate and solve a new integrable XXZ-like open spin chain with an even number of sites that depends on a continuous parameter, which we interpret as the rapidity of the boundary.

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