6 problems

The quantum-invariant-chain 1-sum conjecture.

Let $L=2n$ and consider the twisted XXZ chain at $\Delta=-\frac{1}{2}$, with the groundstate wavefunction normalised as in the source. Let $S_{2n}^{(2)}$ be the sum of the squares…

Let $L=2n$ and consider the twisted XXZ chain at $\Delta=-\frac{1}{2}$, with the groundstate wavefunction normalised as in the source. Let $S_{2n}^{(1)}$ denote the sum of its wave…

Global velocity-properties conjecture. The conclusions of Proposition 1 hold for all

Fix the magnetic field in the XXZ chain and let $T_m=\frac{h}{2m\gamma}$ with $m\in\mathbb{N}$. Consider eigenstates in the sector with spin $s$, equivalently with…

Let the XXZ chain be in the antiferromagnetic massive regime at finite magnetic field and sufficiently low temperature. The quantum transfer matrix has eigenstates, and the higher-…