Antisymmetric relation

About: Antisymmetric relation is a research topic. Over the lifetime, 3322 publications have been published within this topic receiving 64365 citations. The topic is also known as: antisymmetric property & anti-symmetric property.

Entanglement cost of antisymmetric states and additivity of capacity of some quantum channels

Abstract: We study the entanglement cost of the states in the antisymmetric space, which consists of (d − 1) d-dimensional systems. The cost is always log2(d − 1) ebits when the state is divided into bipartite . Combined with the arguments in [6], additivity of channel capacity of some quantum channels is also shown.

A ten-dimensional action for non-geometric fluxes

Abstract: The NSNS Lagrangian of ten-dimensional supergravity is rewritten via a change of field variables inspired by Generalized Complex Geometry. We obtain a new metric and dilaton, together with an antisymmetric bivector field which leads to a ten-dimensional version of the non-geometric Q-flux. Given the involved global aspects of non-geometric situations, we prescribe to use this new Lagrangian, whose associated action is well-defined in some examples investigated here. This allows us to perform a standard dimensional reduction and to recover the usual contribution of the Q-flux to the four-dimensional scalar potential. An extension of this work to include the R-flux is discussed. The paper also contains a brief review on non-geometry.

Derivation of an extended geminal model

Abstract: An extended geminal model is derived by applying perturbation theory to a matrix representation of the electronic Hamiltonian. The matrix representation is formed by a complete set of orthogonal configuration functions generated from a given finite orbital basis set. By construction, the function defined by the APSG approximation (antisymmetric product of strongly orthogonal geminals) is an element of this set of configuration functions. Considering the nondiagonal part of the Hamiltonian matrix as the perturbation, our model is obtained by a partitioning and reordering of the infinite order Rayleigh–Schrodinger perturbation expansion. The model has a hierarchical structure, is size extensive, and has favorable properties with respect to interpretation. In a test calculation on the water molecule, it is demonstrated that the extended geminal model truncated at the double pair correction level, recovers 100.8% of the correlation energy defined by the corresponding full CI calculation.

Analytical Review of Direct Stem Imaging Techniques for Thin Samples

Abstract: Scanning transmission electron microscopy (STEM) imaging, which has been in use for many decades, is analyzed mathematically for thin nonmagnetic samples. The result is a closed-form description of a general STEM image, showing that STEM imaging is, in general, nonlinear (contrast transfer is sample dependent), except when an ideal first moment detector is used. The closed-form description is subsequently used to optimize STEM imaging. We distinguish between STEM techniques using symmetric scalar detectors and antisymmetric vector detectors and show that for both cases practical experimental techniques can be defined that are approximately linear. The case of antisymmetric vector detectors yields the newly introduced integrated differential phase contrast (iDPC-STEM) technique. For this technique we show experimental results, showing that it is capable of imaging light and heavy elements together as well as giving full low-frequency transfer. We demonstrate that it can be used under low-dose conditions.

Dynamical properties of lasers coupled face to face.

Abstract: We derive a reduced model to describe two identical lasers coupled face to face. Two limits are introduced in the Maxwell-Bloch equations: adiabatic elimination of the material polarization and large distance between the two lasers. The resulting model describes coupled homogeneously broadened lasers, including semiconductor lasers. It consists of two coupled delay differential equations with delayed linear cross-coupling and an instantaneous self-coupling nonlinearity. The study is analytical and numerical. We focus on the properties of steady and periodic amplitudes of the electric fields. In steady state, there are symmetric, antisymmetric, and asymmetric solutions with respect to a permutation of the two fields. A similar classification holds for the periodic states. The stability of these solutions is determined partly analytically and partly numerically. A homoclinic point is associated with the asymmetric periodic solutions.