scholarly journals Stability of Superdiffusion in Nearly Integrable Spin Chains

2021 ◽  
Vol 127 (5) ◽  
Author(s):  
Jacopo De Nardis ◽  
Sarang Gopalakrishnan ◽  
Romain Vasseur ◽  
Brayden Ware
1993 ◽  
Vol 406 (3) ◽  
pp. 681-707 ◽  
Author(s):  
Luca Mezincescu ◽  
Rafael I. Nepomechie ◽  
P.K. Townsend ◽  
A.M. Tsvelik

1998 ◽  
Vol 518 (3) ◽  
pp. 689-713 ◽  
Author(s):  
A. Gorsky ◽  
G. Sukov ◽  
A. Mironov

2020 ◽  
Vol 8 (2) ◽  
Author(s):  
Balázs Pozsgay

We consider the finite volume mean values of current operators in integrable spin chains with local interactions, and provide an alternative derivation of the exact result found recently by the author and two collaborators. We use a certain type of long range deformation of the local spin chains, which was discovered and explored earlier in the context of the AdS/CFT correspondence. This method is immediately applicable also to higher rank models: as a concrete example we derive the current mean values in the SU(3)SU(3)-symmetric fundamental model, solvable by the nested Bethe Ansatz. The exact results take the same form as in the Heisenberg spin chains: they involve the one-particle eigenvalues of the conserved charges and the inverse of the Gaudin matrix.


2016 ◽  
Vol 93 (20) ◽  
Author(s):  
Alberto Biella ◽  
Andrea De Luca ◽  
Jacopo Viti ◽  
Davide Rossini ◽  
Leonardo Mazza ◽  
...  

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