Speaker
Description
Electric dipole moments (EDMs) are sensitive probes of fundamental symmetries and central to searches for physics beyond the Standard-Model. We present a symmetry-based, Zeeman-analogue operator framework that places magnetic and electric dipole physics on parallel footing under electromagnetic duality, and introduce a polar-sector pseudo-angular-momentum degree of freedom in parity space together with an associated electric Land\'e factor, $g_E$, that organizes induced orbital dipoles [1]. Following Ohanian's effective-current formulation of the Zeeman effect, we construct its electric dual: the wavefunction's microscopic polarization admits an equivalent effective magnetic probability-current representation, providing a field-equivalence description of parity-mixed charge displacement. In this notation the total EDM expectation takes the unified form $\langle \hat{\vec d}_{\rm tot}\rangle= d_B(g_E\,\frac{\langle \hat{\vec J}_p\rangle}{\hbar}+ g_E^{e}\,\frac{\langle \hat{\vec S}\rangle}{\hbar})$, with $g_E^{e}=\frac{2d_{\rm int}}{d_B}$, where $\hat{\vec J}_p$ captures Stark-induced pseudo-angular momentum and $\hat{\vec S}$ encodes any intrinsic (spin-aligned) EDM $d_{\rm int}$ from symmetry-violating interactions. We define a natural electric dipole unit (the ``Bohr EDM'') as $d_B \equiv e a_0=\frac{2\mu_B}{c\alpha}$ ($a_0$ the Bohr radius and $\mu_B$ the Bohr magneton). As a canonical analytic benchmark, we show in the hydrogenic problem that a static electric-field couples within a fixed $n$ manifold through the scaled Runge-Lenz structure, yielding a compact Land\'e-like description and reproducing the Stark doublet (e.g.\ $|\langle d_{\rm orb}\rangle|=3d_B$ for the $2s$-$2p_{m=0}$ mixing).
Ensembles of such EDMs create an electret, in a similar way to how ensembles of MDMs create a magnet. The former is equivalent to a macroscopic voltage source, which engineers model via impressed magnetic currents in a similar way to a magnet with a fictitious electric current boundary [2]. The magnetic current input represents the non-conservative creation of electricity from an external source. We also show that such a term exists in axion electrodynamics, and if exist as dark matter could in principle be converted to electricity.
[1] ME Tobar, arXiv:2511.07692 [physics.atom-ph]
| I am the presenting author | Yes |
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