Cyclic Evolution on Grassmann Manifold and Berry Phase

Abstract

For a given $k$-dimensional subspace $V_0$ in a Hilbert space $\hilb$ and a unitary transformation $g_0:V_0\To V_0$, we find a path in the Grassmann manifold the monodromy of which coincides with $g_0$.

4 pages

References in corpus (2)

• A reformulation of Hilbert's tenth problem through Quantum Mechanics
• Exact Solutions of Holonomic Quantum Computation