Using the highly detuned interaction between three-level Λ-type atoms and coherent optical fields, we can realize the C-NOT gates from atoms to atoms, optical fields to optical fields, atoms to optical fields and optical fields to atoms. Based on the realization of the C-NOT gates we propose an entanglement purification scheme to purify a mixed entangled states of coherent optical fields. The s...

We extend Guillemin and Sternberg’s Realization Theorem for transitive Lie algebras of formal vector fields to certain Lie algebras of formal first order differential operators, and show that Blattner’s proof of the Realization Theorem allows for a computer implementation that automatically reproduces many realizations derived in the existing literature, and that can also be used to compute new...

In this work we study a realization of moduli spaces of framed quiver representations as Grassmannians of submodules devised by Markus Reineke. Obtained is a generalization of this construction to finite dimensional associative algebras and for quivers with oriented cycles over an arbitrary infinite field. As an application we get an explicit realization of fibers for the moduli space bundle ov...

In low magnetic field, the stacked, triangular antiferromagnet CsCuCl3 has a helical structure incommensurate (IC) in the chain direction. The IC wavenumber (from neutron–diffraction experiments) decreases with increasing field transverse to the chains, as predicted by classical theory, but then it has a plateau almost certainly caused by quantum fluctuations. Linear spin– wave theory fails bec...

We construct a realization of the central extension of super-Yangian double DYh̄ ( ŝl (M + 1|N + 1) ) at level-one in terms of free boson fields with a continuous parameter. Mathematics Subject Classifications(1991): 17B37,81R10,81R50, 16W30.

Using our recent bosonic realization of Uq(ŝp2n), we construct explicitly the vertex operators for the level −1/2 modules of Uq(ŝp2n) using bosonic fields. Our method contains a detailed analysis of all the q-intertwining relations.

Damping (or growth) rates of a typical realization, mean-field and high-order correlation functions of a passive scalar (e.g., a number density of particles) advected by a linear velocity fields are estimated. It is shown that all statistical moments higher than the first moment and a typical realization of a passive scalar without an external pumping decay for both laminar and random incompres...

The concept of symmetry is of central importance in modern physics. Plenty information can be extracted from the symmetry of a physical system. In field theory, the symmetry plays an essential role in defining some very basic concept like particle, charge, etc. Symmetry also put strong constraint on the properties of fields/particles, as well as their interactions and correlations. In quantum f...