Understanding the effect of correlations in interacting many-body systems is one of the main
challenges in quantum mechanics. While the general problem can only be addressed by …

We demonstrate the role of interactions in driving the relaxation of an isolated integrable
quantum system following a sudden quench. We consider a family of integrable hard-core …

In low-dimensional systems, indistinguishable particles can display statistics that interpolate
between bosons and fermions. Signatures of these “anyons” have been detected in two …

The one-particle density matrix of the one-dimensional Tonks-Girardeau gas with
inhomogeneous density profile is calculated, thanks to a recent observation that relates this …

Parafermions are emergent quasiparticles which generalize Majorana fermions and
possess intriguing anyonic properties. The theoretical investigation of effective models …

We investigate the ground-state properties of anyons confined in one-dimensional optical
lattices with a weak harmonic trap using the exact numerical method based on Jordan …

We investigate the ground state of the one-dimensional interacting anyonic system based on
the exact Bethe ansatz solution for arbitrary coupling constant (0⩽ c⩽∞) and statistics …

We investigate the dynamical properties of anyons confined in one-dimensional optical
lattices combined with a weak harmonic trap using the exact numerical method based on a …

We study thermal correlation functions of the one-dimensional impenetrable lattice anyons.
These correlation functions can be presented as a difference of two Fredholm determinants …

We investigate the momentum distribution function of a single distinguishable impurity
particle which formed a polaron state in a gas of either free fermions or Tonks-Girardeau …