Multifractal amplitude fluctuations in the transfer-matrix approach to the statistics of disordered lattice models

1987 ◽  
Vol 20 (5) ◽  
pp. L319-L324 ◽  
Author(s):  
G Jug
2020 ◽  
Vol 8 (3) ◽  
Author(s):  
Sara Murciano ◽  
Giuseppe Di Giulio ◽  
Pasquale Calabrese

We study the symmetry resolved entanglement entropies in gapped integrable lattice models. We use the corner transfer matrix to investigate two prototypical gapped systems with a U(1) symmetry: the complex harmonic chain and the XXZ spin-chain. While the former is a free bosonic system, the latter is genuinely interacting. We focus on a subsystem being half of an infinitely long chain. In both models, we obtain exact expressions for the charged moments and for the symmetry resolved entropies. While for the spin chain we found exact equipartition of entanglement (i.e. all the symmetry resolved entropies are the same), this is not the case for the harmonic system where equipartition is effectively recovered only in some limits. Exploiting the gaussianity of the harmonic chain, we also develop an exact correlation matrix approach to the symmetry resolved entanglement that allows us to test numerically our analytic results.


2016 ◽  
Vol 23 (10) ◽  
pp. 1256-1272 ◽  
Author(s):  
Nick Cramer ◽  
Sean Shan-Min Swei ◽  
Kenneth C. Cheung ◽  
Mircea Teodorescu

1999 ◽  
Vol 60 (15) ◽  
pp. 10644-10647 ◽  
Author(s):  
Zhi-Yuan Li ◽  
Ben-Yuan Gu ◽  
Guo-Zhen Yang

1975 ◽  
Vol 67 (2) ◽  
pp. 609-617 ◽  
Author(s):  
A. Corciovei ◽  
M. Apostol

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