SciPost Commentary Page
Original publication:
| Title: | The folded spin-1/2 XXZ model: II. Thermodynamics and hydrodynamics with a minimal set of charges |
| Author(s): | Lenart Zadnik, Kemal Bidzhiev, Maurizio Fagotti |
| As Contributors: | Kemal Bidzhiev · Maurizio Fagotti · Lenart Zadnik |
| Journal ref.: | SciPost Physics 10, 099 |
| DOI: | https://doi.org/10.21468/SciPostPhys.10.5.099 |
| Date: | 2021-05-03 |
Abstract:
We study the (dual) folded spin-1/2 XXZ model in the thermodynamic limit. We focus, in particular, on a class of local macrostates that includes Gibbs ensembles. We develop a thermodynamic Bethe Ansatz description and work out generalised hydrodynamics at the leading order. Remarkably, in the ballistic scaling limit the junction of two local macrostates results in a discontinuity in the profile of essentially any local observable.
Lenart Zadnik on 2021-12-21 [id 2042]
The explicit form of the duality transformation in Eq. (6) on page 4 is incomplete: the transformation of $\boldsymbol{\sigma}^y_L$ is missing. Equation (6) should instead read
\begin{equation}
\boldsymbol \sigma_\ell^x\mapsto \begin{cases}
-\boldsymbol\sigma_1^y\prod_{\jmath=2}^{L-1}\boldsymbol\sigma_\jmath^z \boldsymbol \sigma_L^y\, ,&\ell=1\, ,\\
\boldsymbol\sigma_{\ell-1}^x\boldsymbol\sigma_\ell^x\, ,&\ell>1\, ,
\end{cases}\quad
\boldsymbol \sigma_\ell^y\mapsto \begin{cases}
\boldsymbol\sigma_1^x,&\ell=1,\\
\boldsymbol\sigma_{\ell-1}^x\boldsymbol\sigma_{\ell}^y\prod_{j=\ell+1}^{L-1}\boldsymbol\sigma_j^z\,\boldsymbol\sigma_L^y,&1<\ell<L,\\
-\boldsymbol\sigma_{L-1}^x\boldsymbol\sigma_L^z,&\ell=L,
\end{cases}\quad
\boldsymbol\sigma_\ell^z\mapsto \prod_{\jmath=\ell}^{L-1}\boldsymbol\sigma_\jmath^z\boldsymbol\sigma_L^y\, .
\end{equation}
Equation (6) is not used anywhere, so this change has no effect on the validity of any reported result.