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Symmetric Criticality in Classical Field Theory     Symmetric Criticality  Classical Field Theory       font style='font-size:12px;'> 2010/11/22
This is a brief overview of work done by Ian Anderson, Mark Fels, and myself on symmetry reduction of Lagrangians and Euler-Lagrange equations, a subject closely related to Palais' Principle of Symme...
We investigate a special kind of contraction of symmetric spaces (respectively, of Lie triple systems), called homotopy. In this first part of a series of two papers we construct such contractions fo...
Permutation-symmetric quantum states appear in a variety of physical situations, and they have been proposed for quantum information tasks. This article builds upon the results of [New J. Phys. 12, 0...
Entanglement preparation using symmetric multiports     Entanglement preparation  symmetric multiports       font style='font-size:12px;'> 2010/11/5
We investigate the entanglement produced by a multi-path interferometer that is composed of two symmetric multiports, with phase shifts applied to the output of the first multiport. Particular attenti...
We study the geometric measure of entanglement (GM) of pure symmetric states related to rank-one positive-operator-valued measures (POVMs) and establish a general connection with quantum state estimat...
We address the task of higher-order derivative evaluation of computer programs that contain QR decompositions and real symmetric eigenvalue decompositions. The approach is a combination of univariate...
show how the band structure and beam dynamics of non-Hermitian PT-symmetric sinusoidal optical lattices can be approached from the point of view of the equivalent Hermitian problem, obtained by an ana...
We discuss the creation of non-classical light from collective atomic states that are prepared in a ring-shaped lattice. These states are realized by exploiting the strong interaction between atoms in...
The sum of the first n  1 eigenvalues of the Laplacian is shown to be maximal among triangles for the equilateral triangle,maximal among parallelograms for the square, and maximal among ellipses for ...
In this paper, we generalize Medos-Wang’s arguments and results on the mean curvature flow deformations of symplectomorphisms of CPn in [22] to complex Grassmann manifold G(n, n+m;C) and compact total...
Let G denote either a special orthogonal group or a symplectic group defined over the complex numbers. We prove the following saturation result for G: given dominant weights λ1, . . . , λr such that...
We reveal an intriguing connection between the set of 27 (disregarding the identity) invertible symmetric 3 × 3 matrices over GF(2) and the points of the generalized quadrangle GQ(2, 4).
We study the asymptotic entanglement of three identical qubits under the action of a Markovian open system dynamics that does not distinguish them.We show that by adding a completely depolarized qubit...
The aim of this paper is to introduce and study quadratic Hom-Lie algebras, which are Hom-Lie algebras with symmetric invariant nondegenerate bilinear forms. We provide several onstructions leading t...
The aim of this paper is to describe the irregular locus of the commuting variety of a reductive symmetric Lie algebra. More precisely, we want to enlighten a remark of Popov. In [Po], the irregular l...

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