We show that a Bose-Einstein condensate of heteronuclear molecules in the regime of small and static electric fields is described by a quantum rotor model for the macroscopic electric dipole moment of the molecular gas cloud. We solve this model exactly and find the symmetric, i.e., rotationally invariant, and dipolar phases expected from the single-molecule problem, but also an axial and plana...

A concept of CP-violating T,P-odd permanent molecular magnetic moments CP is introduced. We relate the moments to the electric dipole moment of electron eEDM and estimate CP for several diamagnetic polar molecules. The moments exhibit a steep, Z5, scaling with the nuclear charge Z of the heavier molecular constituent. A measurement of the CP-violating magnetization of a polarized sample of heav...

The electric dipole moment of a magnetic monopole with spin is studied in the N = 2 supersymmetric gauge theory. Dipole moments of electric charge distributions, as well as dipole moments due to magnetic currents, are calculated. The contribution of the charge distribution of the fermion to the gyroelectric ratio is expressed in terms of ζ(3).

Many mixed-valence systems involve two or more states with different electric dipole moments whose magnitudes depend upon the charge transfer distance and the degree of delocalization; these systems can be interconverted by excitation of an intervalence charge transfer transition. Stark spectroscopy involves the interaction between the change in dipole moment of a transition and an electric fie...

In reality, colloidal particles often possess an arbitrary inhomogeneity profile. We present a first-principles approach to dielectrophoresis of such an inhomogeneous colloidal particle under an inhomogeneous field of an oscillating electric dipole moment. For numerical simulations, we treat the inhomogeneous particle as a specific graded one with a physically motivated dielectric model and con...

We study the ground state phases of a rotating two-component, or binary, Bose-Einstein condensate, wherein one component possesses a large permanent magnetic dipole moment. A variety of nontrivial phases emerge in this system, including a half-quantum vortex (HQV) chain phase and a HQV molecule phase, where HQVs bind at short distances. We attribute these phases to the development of a minimum ...

It is well-known that an image can be reconstructed from an infinite set of moments. Many works have focused on the reconstruction aspects of orthogonal moments, and have shown that the image can be reconstructed easily from a finite set of orthogonal moments. However, reconstruction ability of geometric moments is not yet proved. In this paper, the inverse problem of geometric moments is addre...