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.

Antisymmetric rotation measures in our Galaxy: Evidence for an A0 dynamo

Abstract: Rotationmeasuresforextragalacticsources,afterse- lection to emphasize the large-scale structure of the Galactic magnetic eld, reveal a striking antisymmetric pattern about the Galactic plane and the meridian through the Galactic Cen- tre. This pattern is also observed in the rotation measures of pulsars with jbj > 8. The symmetry of the pattern, the magni- tudeoftherotationmeasuresandthedistancedependenceofthe pulsar rotation measures show that this pattern is not the result of local perturbations, but is on a large and possibly Galactic scale. This antisymmetric pattern and the existence of magnetic elds perpendicular to the plane in the Galactic Centre region, indicate that a dynamo mode of odd symmetry, possibly of A0 type, makes a substantial contribution to the magnetic elds in the thick disk and halo of our Galaxy, at least inside the Solar circle.

Maintaining the closed magnetic-field-line topology of a field-reversed configuration with the addition of static transverse magnetic fields

Abstract: The effects on magnetic-field-line structure of adding various static transverse magnetic fields to a Solov’ev-equilibrium field-reversed configuration are examined. It is shown that adding fields that are antisymmetric about the axial midplane maintains the closed field-line structure, while adding fields with planar or helical symmetry opens the field structure. Antisymmetric modes also introduce pronounced shear.

Propagation of pulse trains through a random medium

Abstract: Applying the parabolic approximation, the equations for two-frequency symmetric and antisymmetric mutual intensity functions for waves propagating through a random medium are derived, including the multiple scattering effects. These functions are applied to derive the general formulas for the covariance functions of narrowband pulses. They are used to compute the signal intensities for pulse trains passing through an ionospheric irregularity slab.

Entanglement induced by spontaneous emission in spatially extended two-atom systems

Abstract: The role of the collective antisymmetric state in entanglement creation by spontaneous emission in a system of two non-overlapping two-level atoms has been investigated. Populations of the collective atomic states and the Wootters entanglement measure (concurrence) for two sets of initial atomic conditions are calculated and illustrated graphically. Calculations include the dipole-dipole interaction and a spatial separation between the atoms that the antisymmetric state of the system is included throughout even for small interatomic separations. It is shown that spontaneous emission can lead to a transient entanglement between the atoms even if the atoms were prepared initially in an unentangled state. It is found that the ability of spontaneous emission to create transient entanglement relies on the absence of population in the collective symmetric state of the system. For the initial state of only one atom excited, entanglement builds up rapidly in time and reaches a maximum for parameter values corresponding roughly to zero population in the symmetric state. On the other hand, for the initial condition of both atoms excited, the atoms remain unentangled until the symmetric state is depopulated. A simple physical interpretation of these results is given in terms of the diagonal states of the density matrix of the system. We also study entanglement creation in a system of two non-identical atoms of different transition frequencies. It is found that the entanglement between the atoms can be enhanced compared to that for identical atoms, and can decay with two different time scales resulting from the coherent transfer of the population from the symmetric to the antisymmetric state. In addition, it was found that a decaying initial entanglement between the atoms can display a revival behaviour.