scholarly journals Spin Chain Models with Spectral Curves from M Theory

2000 ◽  
Vol 213 (3) ◽  
pp. 539-574 ◽  
Author(s):  
I. Krichever ◽  
D. H. Phong
Keyword(s):  
Spin Chain ◽  
Spectral Curves ◽  
M Theory ◽  
Spin Chain Models

Spin Chain Models of Free Fermions

2014 ◽  
pp. 301-309
Author(s):  
Č. Burdík ◽  
A. P. Isaev ◽  
S. O. Krivonos ◽  
O. Navrátil
Keyword(s):  
Spin Chain ◽  
Free Fermions ◽  
Spin Chain Models

scholarly journals HIDDEN NONLINEAR SUPERSYMMETRIES IN PURE PARABOSONIC SYSTEMS

2000 ◽  
Vol 15 (23) ◽  
pp. 3679-3698 ◽  
Author(s):  
MIKHAIL PLYUSHCHAY
Keyword(s):  
Quantum Mechanics ◽  
Exchange Interaction ◽  
Spin Chain ◽  
Supersymmetric Quantum Mechanics ◽  
Intimate Relations ◽  
Supersymmetric Structure ◽  
Spin Chain Models

The existence of intimate relations between generalized statistics and supersymmetry is established by the observation of hidden supersymmetric structure in pure parabosonic systems. This structure is characterized generally by a nonlinear superalgebra. The nonlinear supersymmetry of parabosonic systems may be realized, in turn, by modifying appropriately the usual supersymmetric quantum mechanics. The relation of nonlinear parabosonic supersymmetry to the Calogero-like models with exchange interaction and to the spin chain models with inverse-square interaction is pointed out.

Ising spin chain models for the layered antiferroelectric squaric acid

1984 ◽  
Vol 55 (1) ◽  
pp. 257-260 ◽  
Author(s):  
H. D. Majer ◽  
J. Petersson
Keyword(s):  
Spin Chain ◽  
Squaric Acid ◽  
Ising Spin ◽  
Spin Chain Models

scholarly journals Deformations of SYM and integrable spin chain models

2004 ◽  
Vol 702 (1-2) ◽  
pp. 49-85 ◽  
Author(s):  
David Berenstein ◽  
Sergey A. Cherkis
Keyword(s):  
Spin Chain ◽  
Integrable Spin ◽  
Spin Chain Models

Topological basis realization for BMW algebra and Heisenberg XXZ spin chain model

2015 ◽  
Vol 13 (03) ◽  
pp. 1550017
Author(s):  
Bo Liu ◽  
Kang Xue ◽  
Gangcheng Wang ◽  
Ying Liu ◽  
Chunfang Sun
Keyword(s):  
Spin Chain ◽  
Three Dimensional ◽  
Quantum Spin ◽  
Chain Model ◽  
Superposition State ◽  
Quantum Spin Chain ◽  
Xxz Model ◽  
Spin Chain Model ◽  
Bmw Algebra ◽  
Spin Chain Models

In this paper, we study three-dimensional (3D) reduced Birman–Murakami–Wenzl (BMW) algebra based on topological basis theory. Several examples of BMW algebra representations are reviewed. We also discuss a special solution of BMW algebra, which can be used to construct Heisenberg XXZ model. The theory of topological basis provides a useful method to solve quantum spin chain models. It is also shown that the ground state of XXZ spin chain is superposition state of topological basis.

scholarly journals Engineering the dynamics of effective spin-chain models for strongly interacting atomic gases

2015 ◽  
Vol 91 (2) ◽  
Author(s):  
A. G. Volosniev ◽  
D. Petrosyan ◽  
M. Valiente ◽  
D. V. Fedorov ◽  
A. S. Jensen ◽  
...  
Keyword(s):  
Spin Chain ◽  
Atomic Gases ◽  
Effective Spin ◽  
Strongly Interacting ◽  
Spin Chain Models
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