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quant-ph2026
Sum rule for non-adiabatic geometric phases
Adam Fredriksson, Erik Sjöqvist
Berry monopoles always cancel when summing over a complete set of energy eigenstates. We demonstrate that analogous sum rules exist for geometric phases and their underlying 2-form…
quant-ph2024
Quantum analog of Landau-Lifshitz-Gilbert dynamics
Yuefei Liu, Ivan P. Miranda, Lee Johnson +7
The Landau-Lifshitz-Gilbert (LLG) and Landau-Lifshitz (LL) equations play an essential role for describing the dynamics of magnetization in solids. While a quantum analog of the LL…