Alignment of s-state Rydberg molecules in magnetic fields
Frederic Hummel, Christian Fey, Peter Schmelcher

TL;DR
This paper explores how weak magnetic fields can influence s-state Rydberg molecules through spin-orbit coupling, enabling their alignment despite their spherical symmetry, and suggests new experimental avenues for relativistic scattering studies.
Contribution
It reveals a mechanism by which s-state Rydberg molecules can be aligned using magnetic fields via spin-orbit effects, a novel insight into their magnetic response.
Findings
Magnetic fields can induce alignment of s-state Rydberg molecules.
Spin-orbit coupling affects electron-atom interactions under magnetic fields.
Predictions enable experimental access to relativistic scattering physics.
Abstract
We unravel some peculiar properties of ultralong-range Rydberg molecules formed by an -state Rb Rydberg atom and a corresponding ground-state atom whose electronic orbitals are spherically symmetric and therefore should not be influenced by the presence of weak magnetic fields. However, the electron-atom interaction, which establishes the molecular bond, is under certain conditions subject to a sizeable spin-orbit coupling and, hence, sensitive to the magnetic field. This mechanism can be harnessed to counterintuitively align the -state molecules with respect to the field axis. We demonstrate this by analyzing the angular-dependent Born-Oppenheimer potential energy surfaces and the supported vibrational molecular states. Our predictions open novel possibilities to access the physics of relativistic electron-atom scattering experimentally.
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