We revisit the so-called folded XXZ model, which was treated earlier by two independent
research groups. We argue that this spin-1/2 chain is one of the simplest quantum integrable …

We study numerically the two-point correlation functions of height functions in the six-vertex
model with domain wall boundary conditions. The correlation functions and the height …

We consider the preparation of all the eigenstates of spin chains using quantum circuits. It is
known that generic eigenstates of free-fermionic spin chains can be prepared with circuits …

A quantum phase model is considered and the temporal evolution of the exponential of the
first moment of particles distribution is studied. The calculation of the temporal evolution is …

We consider the five-vertex model on a finite square lattice with fixed boundary conditions
such that the configurations of the model are in a one-to-one correspondence with the boxed …

The exactly solvable four-vertex model with the fixed boundary conditions in the presence of
an inhomogeneous linearly growing external field is considered. The partition function of the …

We study the symmetric six-vertex model on a finite square lattice with partial domain wall
boundary conditions. We use the known connection of the model to the off-shell Bethe states …

We study the approximability of the four-vertex model, a special case of the six-vertex model.
We prove that, despite being NP-hard to approximate in the worst case, the four-vertex …

The mean values of non-homogeneously parameterized generating exponential are
obtained and investigated for the periodic Heisenberg XX model. The norm-trace generating …

We study finite size and temperature XX0 Heisenberg spin chain in weak and strong
coupling regimes. By using an elegant connection of the model to integrable combinatorics …