6 problems

Consider a general SU(2)-invariant model with integer spin $S$, and let the AKLT point denote the parameter value corresponding to the Affleck–Kennedy–Lieb–Tasaki valence-bond-soli…

Affleck–Kennedy–Lieb–Tasaki conjecture. These models should have a unique ground state in the thermodynamic limit and a spectral gap.

Let a lattice have fixed vertex degree, and let its edges be decorated by adding $n$ spin-1 sites. The resulting AKLT model is the model obtained from the corresponding AKLT constr…

Let $S$ be the spin of the AKLT model, let $\left|SG\right\rangle$ denote its ground state, and define the spin-$2S$ magnon creation operator by … The exact tower of states is … fo…

Let $\{\left|S_{2N}\right\rangle\}$ be the tower of exact states of the spin-1 AKLT model, with energy $E=2N$ and system size $L$. Consider states at finite energy density…

Let the density matrix be the reduced density matrix of a contiguous block of bulk spins in an AKLT model. The model may be an inhomogeneous chain, a system on a higher-dimensional…