scholarly journals Quantum spin chains with quantum group symmetry

1996 ◽  
Vol 174 (3) ◽  
pp. 477-507 ◽  
Author(s):  
M. Fannes ◽  
B. Nachtergaele ◽  
R. F. Werner
Keyword(s):  
Quantum Group ◽  
Quantum Spin ◽  
Spin Chains ◽  
Group Symmetry ◽  
Quantum Spin Chains

scholarly journals Spin chains with boundary inhomogeneities

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Rafael I. Nepomechie ◽  
Ana L. Retore
Keyword(s):  
Quantum Group ◽  
Bethe Ansatz ◽  
Transfer Matrix ◽  
Spin Chain ◽  
Quantum Spin ◽  
Spin Chains ◽  
Group Symmetry ◽  
Quantum Spin Chain ◽  
Open Quantum ◽  
Bethe Ansatz Solution

Abstract We investigate the effect of introducing a boundary inhomogeneity in the transfer matrix of an integrable open quantum spin chain. We find that it is possible to construct a local Hamiltonian, and to have quantum group symmetry. The boundary inhomogeneity has a profound effect on the Bethe ansatz solution.

scholarly journals BETHE ANSATZ SOLUTIONS FOR TEMPERLEY–LIEB QUANTUM SPIN CHAINS

2000 ◽  
Vol 15 (21) ◽  
pp. 3395-3425 ◽  
Author(s):  
R. C. T. GHIOTTO ◽  
A. L. MALVEZZI
Keyword(s):  
Free Boundary ◽  
Boundary Conditions ◽  
Quantum Group ◽  
Bethe Ansatz ◽  
Periodic Boundary ◽  
Periodic Boundary Conditions ◽  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Free Boundary Conditions

We solve the spectrum of quantum spin chains based on representations of the Temperley–Lieb algebra associated with the quantum groups [Formula: see text] for Xn=A1, Bn, Cn and Dn. The tool is a modified version of the coordinate Bethe ansatz through a suitable choice of the Bethe states which give to all models the same status relative to their diagonalization. All these models have equivalent spectra up to degeneracies and the spectra of the lower-dimensional representations are contained in the higher-dimensional ones. Periodic boundary conditions, free boundary conditions and closed nonlocal boundary conditions are considered. Periodic boundary conditions, unlike free boundary conditions, break quantum group invariance. For closed nonlocal cases the models are quantum group invariant as well as periodic in a certain sense.

Solvable nineteen-vertex models and quantum spin chains of spin one

1994 ◽  
Vol 4 (8) ◽  
pp. 1151-1159 ◽  
Author(s):  
Makoto Idzumi ◽  
Tetsuji Tokihiro ◽  
Masao Arai
Keyword(s):  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Vertex Models

scholarly journals Slow Propagation in Some Disordered Quantum Spin Chains

2021 ◽  
Vol 182 (1) ◽  
Author(s):  
Bruno Nachtergaele ◽  
Jake Reschke
Keyword(s):  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Slow Propagation

scholarly journals Edge states in quantum spin chains: The interplay among interaction, gradient magnetic field, and Floquet engineering

2021 ◽  
Vol 104 (2) ◽  
Author(s):  
Wenjie Liu ◽  
Bo Zhu ◽  
Li Zhang ◽  
Yongguan Ke ◽  
Chaohong Lee
Keyword(s):  
Magnetic Field ◽  
Quantum Spin ◽  
Spin Chains ◽  
Edge States ◽  
Quantum Spin Chains ◽  
Gradient Magnetic Field

scholarly journals Characterization of localized effective spins in gapped quantum spin chains

2019 ◽  
Vol 100 (19) ◽  
Author(s):  
Hayate Nakano ◽  
Seiji Miyashita
Keyword(s):  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains

scholarly journals Onset of Incommensurability in Quantum Spin Chains

2003 ◽  
Vol 72 (3) ◽  
pp. 476-478 ◽  
Author(s):  
Kiyohide Nomura
Keyword(s):  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains

scholarly journals Long-lived Néel states in antiferromagnetic quantum spin chains with strong uniaxial anisotropy for atomic-scale antiferromagnetic spintronics

RSC Advances ◽  
2015 ◽  
Vol 5 (129) ◽  
pp. 106333-106338 ◽  
Author(s):  
Jun Li ◽  
Bang-Gui Liu
Keyword(s):  
Uniaxial Anisotropy ◽  
Life Time ◽  
Quantum Spin ◽  
Spin Chains ◽  
Atomic Scale ◽  
Quantum Spin Chains ◽  
Long Life

We achieve a powerful life-time expression of the Neel states for arbitrary parameters and show that for famous Fe adatom chains on Cu2N surface, 14 or 16 Fe adatoms are enough to obtain a long life-time for Neel state storage of information.

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