Dynamical Symmetry Breaking in Magnetic Systems

The magnetic transition processes with symmetry breaking are studied theoretically on one magnetic moment model and more complex magnetic systems. It is shown that the symmetry-breaking processes behave much more deterministic than could be deduced from energy considerations. The two qualitatively different cases of dynamical control are identified depending on robustness against thermal fluctuations. The first case is robust against thermal fluctuations even if the magnetic transition control parameter is changed adiabatically. The second case is unstable against temperature fluctuations and the result of symmetry breaking is random. If the magnetic transition control parameter is rapidly changed, control over the final magnetic state is regained. This phenomenon is related to precession of magnetic momentum, and therefore, it is not noticeable in methods considering and minimizing energy of the magnetic systems directly.

Automated summary

Theoretical studies have been conducted on magnetic transition processes involving symmetry breaking, using both a simple magnetic moment model and more complex magnetic systems. The findings reveal that the behavior of symmetry-breaking processes is more deterministic than what can be inferred from energy considerations alone. Two qualitatively different cases of dynamical control are identified based on their robustness against thermal fluctuations. The first case remains stable against these fluctuations even when the magnetic transition control parameter changes adiabatically, while the second case is unstable and results in random symmetry breaking. However, control over the final magnetic state can be regained by rapidly changing the magnetic transition control parameter, a phenomenon related to the precession of magnetic momentum and not evident in methods solely considering and minimizing the energy of the magnetic systems directly.