# Exact density matrix for quantum group invariant sector of XXZ model

Abstract : Using the fermionic basis we obtain the expectation values of all $U_q(\slt)$-invariant local operators on 8 sites for the anisotropic six-vertex model on a cylinder with generic Matsubara data. In the case when the $U_q(\slt)$ symmetry is not broken this computation is equivalent to finding the entire density matrix up to 8 sites. As application, we compute the entanglement entropy without and with temperature, and compare the results with CFT predictions.
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https://hal.archives-ouvertes.fr/hal-01792267
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Submitted on : Tuesday, May 15, 2018 - 12:48:32 PM
Last modification on : Thursday, December 10, 2020 - 12:34:00 PM

### Citation

Fedor Smirnov. Exact density matrix for quantum group invariant sector of XXZ model. 2018. ⟨hal-01792267⟩

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