Correlations, long-range entanglement, and dynamics in long-range Kitaev chains

Kitaev chains with long-range pairing.

We propose and analyze a generalization of the Kitaev chain for fermions with long-range p-wave pairing, which decays with distance as a power law with exponent α. Using the integrability of the model, we demonstrate the existence of two types of gapped regimes, where correlation functions decay exponentially at short range and algebraically at long range (α > 1) or purely algebraically (α < 1)...

Probing the role of long-range interactions in the dynamics of a long-range Kitaev Chain

We study the role of long-range interactions on the non-equilibrium dynamics considering a longrange Kitaev chain in which superconducting term decays with distance between two sites in a power-law fashion characterised by an exponent α. We show that the Kibble-Zurek scaling exponent, dictating the power-law decay of the defect density in the final state reached following a slow quenching of th...

Short-Range and Long-Range Correlations in DIS at HERA

Correlations in deep-inelastic scattering (DIS) at HERA are investigated in order to test perturbative QCD and quark fragmentation universality. Two-particle correlations at small angular separations are measured in the Breit frame and compared to ee collisions. Also presented are the correlations between the current and target regions of the Breit frame.

Long-range Ising and Kitaev models: phases, correlations and edge modes

Weanalyze the quantumphases, correlation functions and edgemodes for a class of spin-1/2 and fermionicmodels related to the one-dimensional Ising chain in the presence of a transverse field. Thesemodels are the Ising chainwith anti-ferromagnetic long-range interactions that decaywith distancer as a r 1 , as well as a related class of fermionicHamiltonians that generalize theKitaev chain, where...

Long - Range Correlations and the Dynamics of Multiparticlz Production