scholarly journals QUANTUM LOOP MODULES AND QUANTUM SPIN CHAINS

1994 ◽  
Vol 09 (22) ◽  
pp. 3925-3958
Author(s):  
DANIEL ALTSCHULER ◽  
BRIAN DAVIES
Keyword(s):  
Sufficient Conditions ◽  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Affine Algebra ◽  
Quantum Spin Chains ◽  
Affine Algebra ◽  
Highest Weight ◽  
Necessary And Sufficient ◽  
Loop Modules

We construct level-0 modules of the quantum affine algebra [Formula: see text], as the q-deformed version of the Lie algebra loop module construction. We give necessary and sufficient conditions for the modules to be irreducible. We construct the crystal base for some of these modules and find significant differences from the case of highest weight modules. We also consider the role of loop modules in the recent scheme for diagonalizing certain quantum spin chains using their [Formula: see text] symmetry.

scholarly journals ASPECTS OF INTEGRABILITY IN $\mathcal{N} = 4$ SYM

2007 ◽  
Vol 22 (34) ◽  
pp. 2549-2563 ◽  
Author(s):  
ABHISHEK AGARWAL
Keyword(s):  
Gauge Theory ◽  
Integrable Systems ◽  
Closed String ◽  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Four Dimensions ◽  
Yang Mills ◽  
Open Strings

Various recently developed connections between supersymmetric Yang–Mills theories in four dimensions and two-dimensional integrable systems serve as crucial ingredients in improving our understanding of the AdS/CFT correspondence. In this review, we highlight some connections between superconformal four-dimensional Yang–Mills theory and various integrable systems. In particular, we focus on the role of Yangian symmetries in studying the gauge theory dual of closed string excitations. We also briefly review how the gauge theory connects to Calogero models and open quantum spin chains through the study of the gauge theory duals of D3 branes and open strings ending on them. This invited review is based on a seminar given at the Institute of Advanced Study, Princeton.

QUANTUM ALGEBRA STRUCTURE OF EXACTLY SOLUBLE QUANTUM SPIN CHAINS

1991 ◽  
Vol 06 (27) ◽  
pp. 2497-2508 ◽  
Author(s):  
LUCA MEZINCESCU ◽  
RAFAEL I. NEPOMECHIE
Keyword(s):  
Large Class ◽  
Quantum Algebra ◽  
Quantum Spin ◽  
Spin Chains ◽  
Algebra Structure ◽  
Quantum Spin Chains ◽  
Transfer Matrices ◽  
Highest Weight

We consider a large class of quantum spin chains, whose Hamiltonians commute with generators of a quantum algebra and which are integrable. We argue that the corresponding transfer matrices also commute with the quantum algebra. For the spin [Formula: see text] chain, we show that the Bethe states are highest weight states of Uq[ su (2)].

Relaxation inS=1/2 quantum spin chains: The role of second neighbor interactions

1996 ◽  
Vol 53 (6) ◽  
pp. 3398-3408 ◽  
Author(s):  
Surajit Sen ◽  
Carl N. Hoff ◽  
Dennis E. Kuhl ◽  
David A. McGrew
Keyword(s):  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains

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 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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