Two dipolar atoms in a harmonic trap
Rafa{\l} O{\l}dziejewski, Wojciech G\'orecki, Kazimierz, Rz\k{a}\.zewski

TL;DR
This paper investigates the quantum behavior of two dipolar atoms in a harmonic trap, revealing spin-orbit coupling effects and the potential to control their relative motion states.
Contribution
It introduces a semi-analytical approach to analyze two dipolar atoms in a trap and demonstrates spin-orbit coupling and adiabatic state manipulation.
Findings
Internal spin-spin interactions couple to orbital angular momentum.
Analog of Einstein-de Haas effect observed.
Possibility of adiabatically transitioning from s-wave to d-wave states.
Abstract
Two identical dipolar atoms moving in a harmonic trap without an external magnetic field are investigated. Using the algebra of angular momentum a semi - analytical solutions are found. We show that the internal spin - spin interactions between the atoms couple to the orbital angular momentum causing an analogue of Einstein - de Haas effect. We show a possibility of adiabatically pumping our system from the s-wave to the d-wave relative motion. The effective spin-orbit coupling occurs at anti-crossings of the energy levels.
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