Luca Barbiero

Violation of cluster decomposition and absence of light cones in local integer and half-integer spin chains

We compute the ground-state correlation functions of an exactly solvable chain of integer spins, recently introduced in [R. Movassagh and P. W. Shor, arXiv:1408.1657], whose ground state can be expressed in terms of a uniform superposition of all colored Motzkin paths. Our analytical results show that for spin

Dipolar-induced resonance for ultracold bosons in a quasi-one-dimensional optical lattice

s\ensuremath{\ge}2

Out-of-equilibrium states and quasi-many-body localization in polar lattice gases

there is a violation of the cluster decomposition property. This has to be contrasted with

Homogeneous and inhomogeneous magnetic phases of constrained dipolar bosons

s=1

Haldane topological orders in Motzkin spin chains

, where the cluster property holds. Correspondingly, for

One-dimensional repulsive Fermi gas in a tunable periodic potential

s=1

Hidden magnetism in periodically modulated one dimensional dipolar fermions

one gets a light-cone profile in the propagation of excitations after a local quench, while the cone is absent for

Phase separation and pairing regimes in the one-dimensional asymmetric Hubbard model

s=2

Spontaneous Peierls dimerization and emergent bond order in one-dimensional dipolar gases

, as shown by time dependent density-matrix renormalization group. Moreover, we introduce an original solvable model of half-integer spins, which we refer to as Fredkin spin chain, whose ground state can be expressed in terms of superposition of all Dyck paths. For this model we exactly calculate the magnetization and correlation functions, finding that for

Quantum bright solitons in the Bose-Hubbard model with site-dependent repulsive interactions

s=1/2