scholarly journals Correlation Functions of Heisenberg Spin Chains : the Algebraic Bethe Ansatz Approach

2007 ◽  
Author(s):  
Jean-Michel Maillet
Keyword(s):  
Bethe Ansatz ◽  
Correlation Functions ◽  
Spin Chains ◽  
Heisenberg Spin ◽  
Algebraic Bethe Ansatz ◽  
Ansatz Approach ◽  
Heisenberg Spin Chains

scholarly journals Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions

2009 ◽  
Vol 2009 (04) ◽  
pp. P04003 ◽  
Author(s):  
N Kitanine ◽  
K K Kozlowski ◽  
J M Maillet ◽  
N A Slavnov ◽  
V Terras
Keyword(s):  
Asymptotic Behavior ◽  
Bethe Ansatz ◽  
Correlation Functions ◽  
Algebraic Bethe Ansatz ◽  
Ansatz Approach

scholarly journals Form Factors of the Heisenberg Spin Chain in the Thermodynamic Limit: Dealing with Complex Bethe Roots

2021 ◽  
Author(s):  
Nikolai Kitanine ◽  
◽  
Giridhar Kulkarni ◽  
◽  
◽  
...  
Keyword(s):  
Bethe Ansatz ◽  
Thermodynamic Limit ◽  
Spin Chain ◽  
Form Factors ◽  
Heisenberg Spin ◽  
Heisenberg Spin Chain ◽  
Algebraic Bethe Ansatz ◽  
Bethe Equations ◽  
Treat All ◽  
Ansatz Approach

In this article we study the thermodynamic limit of the form factors of the XXX Heisenberg spin chain using the algebraic Bethe ansatz approach. Our main goal is to express the form factors for the low-lying excited states as determinants of matrices that remain finite dimensional in the thermodynamic limit. We show how to treat all types of the complex roots of the Bethe equations within this framework. In particular we demonstrate that the Gaudin determinant for the higher level Bethe equations arises naturally from the algebraic Bethe ansatz.

Excitation spectra of generalized antiferromagnetic Heisenberg spin chains (abstract)

1988 ◽  
Vol 63 (8) ◽  
pp. 4160-4160
Author(s):  
J. B. Parkinson ◽  
J. C. Bonner
Keyword(s):  
Spin Chains ◽  
Excitation Spectra ◽  
Heisenberg Spin ◽  
Heisenberg Spin Chains

scholarly journals Excitation spectra and thermodynamic response of segmented Heisenberg spin chains

2000 ◽  
Vol 61 (22) ◽  
pp. 15262-15268 ◽  
Author(s):  
Stefan Wessel ◽  
Stephan Haas
Keyword(s):  
Spin Chains ◽  
Excitation Spectra ◽  
Heisenberg Spin ◽  
Heisenberg Spin Chains

scholarly journals The spin-partitioned total position-spread tensor: An application to Heisenberg spin chains

2015 ◽  
Vol 143 (24) ◽  
pp. 244308 ◽  
Author(s):  
Edoardo Fertitta ◽  
Muammar El Khatib ◽  
Gian Luigi Bendazzoli ◽  
Beate Paulus ◽  
Stefano Evangelisti ◽  
...  
Keyword(s):  
Spin Chains ◽  
Heisenberg Spin ◽  
Heisenberg Spin Chains ◽  
Total Position
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