English

Transmission matrices in gl(N) & U_q(gl(N)) quantum spin chains

High Energy Physics - Theory 2013-08-28 v2 Statistical Mechanics Mathematical Physics math.MP Exactly Solvable and Integrable Systems
Authors: Anastasia Doikou
View on arXiv ↗ PDF ↗ DOI ↗

Abstract

The gl(N) and U_q(gl(N)) quantum spin chains in the presence of integrable spin impurities are considered. Within the Bethe ansatz formulation, we derive the associated transmission amplitudes, and the corresponding transmission matrices -representations of the underlying quadratic algebra- that physically describe the interaction between the various particle-like excitations displayed by these models and the spin impurity.

Keywords

bethe ansatz

Cite

@article{arxiv.1304.5901,
  title  = {Transmission matrices in gl(N) & U_q(gl(N)) quantum spin chains},
  author = {Anastasia Doikou},
  journal= {arXiv preprint arXiv:1304.5901},
  year   = {2013}
}

Comments

21 pages, Latex. Typos corrected

Related papers

View all related →
Mathematical Physics · Physics
Transmission amplitudes from Bethe ansatz equations
Anastasia Doikou, Nikos Karaiskos
2013-03-06
High Energy Physics - Theory · Physics
Analytical Bethe Ansatz for Quantum-Algebra-Invariant Spin Chains
Luca Mezincescu, Rafael I. Nepomechie
2014-11-18
Mathematical Physics · Physics
Type-I integrable quantum impurities in the Heisenberg model
Anastasia Doikou
2013-11-28
High Energy Physics - Theory · Physics
Spectrum of transfer matrix for $U_q(B_n)$-invariant $A^{(2)}_{2n}$ open spin chain
Simone Artz, Luca Mezincescu, Rafael I. Nepomechie
2015-06-26
Mathematical Physics · Physics
A note on gl_N type-I integrable defects
Anastasia Doikou
2014-02-18
High Energy Physics - Theory · Physics
Analytical Bethe Ansatz for $A^{(2)}_{2n-1}, B^{(1)}_n, C^{(1)}_n, D^{(1)}_n$ quantum-algebra-invariant open spin chains
Simone Artz, Luca Mezincescu, Rafael I. Nepomechie
2009-10-28
Mathematical Physics · Physics
Spectrum and Bethe ansatz equations for the U_ {q}(gl(N)) closed and open spin chains in any representation
D. Arnaudon, N. Crampe, A. Doikou, L. Frappat +1
2009-11-11
Mathematical Physics · Physics
Nested Bethe ansatz for "all" closed spin chains
S. Belliard, E. Ragoucy
2010-04-07
Mathematical Physics · Physics
Exact solution of a quantum integrable system associated with the $G_2$ exceptional Lie algebra
Guang-Liang Li, Junpeng Cao, Pei Sun, Wen-Li Yang +2
2024-12-18
Statistical Mechanics · Physics
On the complete-spectrum characterization of quantum integrable spin chains via the inhomogeneous T-Q relation
Junpeng Cao, Wen-Li Yang, Kangjie Shi, Yupeng Wang
2015-11-04
Mathematical Physics · Physics
On the inhomogeneous T-Q relation for quantum integrable models
Yupeng Wang, Wen-Li Yang, Junpeng Cao, Kangjie Shi
2015-06-09
High Energy Physics - Theory · Physics
The spectrum of quantum-group-invariant transfer matrices
Rafael I. Nepomechie, Ana L. Retore
2018-12-26
Mathematical Physics · Physics
Exact solution of the trigonometric SU(3) spin chain with generic off-diagonal boundary reflections
Guang-Liang Li, Junpeng Cao, Kun Hao, Fakai Wen +2
2016-08-24
Mathematical Physics · Physics
Analytical Bethe Ansatz for closed and open gl(n)-spin chains in any representation
Daniel Arnaudon, Nicolas Crampe, Anastasia Doikou, Luc Frappat +1
2011-02-16
High Energy Physics - Theory · Physics
Long-Range GL(n) Integrable Spin Chains and Plane-Wave Matrix Theory
N. Beisert, T. Klose
2011-02-16
Mathematical Physics · Physics
Spectrum of the transfer matrices of the spin chains associated with the $A^{(2)}_3$ Lie algebra
Guang-Liang Li, Junpeng Cao, Xiao-Tian Xu, Kun Hao +3
2023-04-20
Statistical Mechanics · Physics
Thermodynamic properties of an integrable quantum spin ladder with boundary impurities
M. T. Batchelor, X. -W. Guan, A. Foerster, A. P. Tonel +1
2009-11-10
Statistical Mechanics · Physics
Integrable Impurity Spin Ladder Systems
Arlei Prestes Tonel, Angela Foerster, Xi-Wen Guan, Jon Links
2007-05-23
Mathematical Physics · Physics
Bethe vectors of quantum integrable models based on Uq(gl(N))
S. Pakuliak, E. Ragoucy, N. A. Slavnov
2015-06-17
High Energy Physics - Theory · Physics
Nested algebraic Bethe ansatz for open GL(N) spin chains with projected K-matrices
Rafael I. Nepomechie
2015-05-14
High Energy Physics - Theory · Physics
Spectrum of Quantum Transfer Matrices via Classical Many-Body Systems
A. Gorsky, A. Zabrodin, A. Zotov
2015-06-17
High Energy Physics - Theory · Physics
Spin chains with boundary inhomogeneities
Rafael I. Nepomechie, Ana L. Retore
2021-09-01
Strongly Correlated Electrons · Physics
A supersymmetric U_{q}[osp(2|2)]-extended Hubbard model with boundary fields
X. -W. Guan, A. Foerster, U. Grimm, R. A. Römer +1
2016-08-16
Statistical Mechanics · Physics
A Hubbard model with integrable impurity
Yahya Öz, Andreas Klümper
2019-07-26
Exactly Solvable and Integrable Systems · Physics
Noncompact sl(N) spin chains: BGG-resolution, Q-operators and alternating sum representation for finite dimensional transfer matrices
S. E. Derkachov, A. N. Manashov
2011-07-21
R2 v1 2026-06-22T00:04:02.802Z