# New exact results on density matrix for XXX spin chain

Abstract : Using the fermionic basis we obtain the expectation values of all $\slt$-invariant and $C$-invariant local operators on 10 sites for the anisotropic six-vertex model on a cylinder with generic Matsubara data. This is equivalent to the generalised Gibbs ensemble for the XXX spin chain. In the case when the $\slt$ and $C$ symmetries are not broken this computation is equivalent to finding the entire density matrix up to 10 sites. As application, we compute the entanglement entropy without and with temperature, and compare the results with CFT predictions.
Document type :
Journal articles

https://hal.archives-ouvertes.fr/hal-01918242
Contributor : Fedor Smirnov Connect in order to contact the contributor
Submitted on : Saturday, November 10, 2018 - 11:38:05 AM
Last modification on : Tuesday, December 8, 2020 - 3:36:50 AM

### Identifiers

• HAL Id : hal-01918242, version 1
• ARXIV : 1802.08491

### Citation

T. Miwa, F. Smirnov. New exact results on density matrix for XXX spin chain. Letters in Mathematical Physics, Springer Verlag, 2018. ⟨hal-01918242⟩

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