First-principle construction of U(1) symmetric matrix product states

The algorithm to calculate the sets of symmetry sectors for virtual indices of U(1) symmetric matrix product states (MPS) is described. Principal differences between open (OBC) and periodic (PBC) boundary conditions are stressed, and the extension of PBC MPS algorithm to projected entangled pair states (PEPS) is outlined.Comment: 7 pages (13 pages in the journal version), 1 figur

Axially and spherically symmetric solitons in warm plasma

We study the existence of stable axially and spherically symmetric plasma structures on the basis of the new nonlinear Schrodinger equation (NLSE) accounting for nonlocal electron nonlinearities. The numerical solutions of NLSE having the form of spatial solitions are obtained and their stability is analyzed. We discuss the possible application of the obtained results to the theoretical description of natural plasmoids in the atmosphere.Comment: 10 pages, two columns, 5 eps figures, RevTeX 4.1; several new references are added and some typos are corrected; a variant to be published in Journal of Plasma Physic