4 papers
Quasi-holonomy in non-adiabatic quantum evolution
Erik Sjöqvist, Adam Fredriksson
We develop a framework for quasi-holonomy in non-adiabatic quantum time evolution of subspaces along loops in a complex Grassmannian. By factoring the Schrödinger evolution into d…
Separation of quantum time evolution into holonomic and dynamical parts
Adam Fredriksson, Erik Sjöqvist
The issue of separating Schrödinger-type quantum time evolution into a product of holonomic and dynamical parts in the non-adiabatic non-Abelian case is examined. We identify all…
Inequivalence of Landau-Lifshitz and Landau-Lifshitz-Gilbert dynamics for a single quantum spin
Yuefei Liu, Olle Eriksson, Erik Sjöqvist
We examine the relation between the quantum Landau-Lifshitz equation (-LL) [Phys. Rev. Lett. 110, 147201 (2013)] and quantum Landau-Lifshitz-Gilbert equation (-LLG) [Phys. Re…
Fractional Contribution of Dynamical and Geometric Phases in Quantum Evolution
Arun Kumar Pati, Vlatko Vedral, Erik Sjoqvist
The fundamental division of the total quantum evolution phase into geometric and dynamical components is a central problem in quantum physics. Here, we prove a remarkably simple an…