Identifying entanglement-based order parameters characterizing topological systems, in particular superconductors and insulators, has remained a major challenge for the physics of quantum matter last two decades. Here we show that end-to-end, long-distance, bipartite squashed entanglement between edges many-body system, defined terms edge-to-edge conditional mutual information, is natural nonlo...

Green-hyperbolic operators - partial differential on globally hyperbolic spacetimes that (together with their formal duals) possess advanced and retarded Green play an important role in many areas of mathematical physics. Here, we study modifications by the addition a possibly nonlocal operator acting within compact subset $K$ spacetime, seek corresponding '$K$-nonlocal' generalised operators. ...

We demonstrate the existence of stable three-dimensional spatiotemporal solitons (STSs) in media with a nonlocal cubic nonlinearity. Fundamental (nonspinning) STSs forming one-parameter families are stable if their propagation constant exceeds a certain critical value that is inversely proportional to the range of nonlocality of nonlinear response. All spinning three-dimensional STSs are found ...

In this paper, forced vibration analysis of a single-layered graphene sheet (SLGS) under moving a nanoparticle is carried out using the non-local elasticity theory of orthotropic plate. The SLGS under moving the nanoparticle is placed in the elastic and viscoelastic foundation which are simulated as a Pasternak and Visco-Pasternak medium, respectively. Movement of the nanoparticle is considered...

Nonlocal boundary value problem of the first kind for an odinary linear second order differential equation with positive parameter at highest derivative is considered. The existence and uniqueness, as well as, a uniformly stable estimate classical solution established under accurate condition on coefficients location nonlocal data carriers multipoint condition. An essentiality revealed confirme...

Reduced nonlocal matrix integrable modified Korteweg–de Vries (mKdV) hierarchies are presented via taking two transpose-type group reductions in the Ablowitz–Kaup–Newell–Segur (AKNS) spectral problems. One reduction is local, which replaces parameter ? with its complex conjugate ??, and other one nonlocal, negative ???. Riemann–Hilbert problems thus inverse scattering transforms formulated from...