In quantum many-body systems with local interactions, the effects of boundary conditions are considered to be negligible, at least for sufficiently large systems. Here we show an example of the opposite. We consider a spin chain with two competing …
Recently it was highlighted that one-dimensional antiferromagnetic spin models with frustrated boundary conditions, i.e. periodic boundary conditions in a ring with an odd number of elements, may show very peculiar behavior. Indeed the presence of …
It has been recently proven that new types of bulk local order can ensue due to frustrated boundary condition, that is, periodic boundary conditions with an odd number of lattice sites and antiferromagnetic interactions. For the quantum XY chain in …
We find the asymptotic behaviors of Toeplitz determinants with symbols which are a sum of two contributions, one analytical and non-zero function in an annulus around the unit circle, and the other proportional to a Dirac delta function. The formulas …
We study the behavior of the mutual information (MI) in various quadratic fermionic chains, with and without pairing terms and both with short- and long-range hoppings. The models considered include the short-range Kitaev model and also cases in …
A central tenant in the classification of phases is that boundary conditions cannot affect the bulk properties of a system. In this work, we show striking, yet puzzling, evidence of a clear violation of this assumption. We use the prototypical …
At the core of every frustrated system, one can identify the existence of frustrated rings that are usually interpreted in terms of single–particle physics. We check this point of view through a careful analysis of the entanglement entropy of both …
We analyze a family of 1D fully analytically solvable models in which a many-body cluster interaction, acting simulatenously on n + 2 spins, competes with a uniform transverse external field. These models can be solved analytically using the …
We discuss the hydrodynamic approach to the study of the time evolution—induced by a quench—of local excitations in one dimension. We focus on interaction quenches, the considered protocol consists of creating a stable localized excitation …