scholarly journals Integrable quantum spin chains, non-skew symmetric r-matrices and quasigraded Lie algebras

2006 ◽  
Vol 57 (1) ◽  
pp. 53-67 ◽  
Author(s):  
T. Skrypnyk
Keyword(s):  
Lie Algebras ◽  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Integrable Quantum ◽  
Quasigraded Lie Algebras

scholarly journals Canonical Drude Weight for Non-integrable Quantum Spin Chains

2018 ◽  
Vol 172 (2) ◽  
pp. 379-397 ◽  
Author(s):  
Vieri Mastropietro ◽  
Marcello Porta
Keyword(s):  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Integrable Quantum ◽  
Drude Weight

scholarly journals Perfect Integrability and Gaudin Models

2020 ◽  
Author(s):  
Kang Lu ◽  
Keyword(s):  
Boundary Conditions ◽  
Lie Algebras ◽  
Periodic Boundary ◽  
Periodic Boundary Conditions ◽  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Simple Lie Algebras ◽  
Gaudin Models

We suggest the notion of perfect integrability for quantum spin chains and conjecture that quantum spin chains are perfectly integrable. We show the perfect integrability for Gaudin models associated to simple Lie algebras of all finite types, with periodic and regular quasi-periodic boundary conditions.

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