  We study the dynamics of a quantum or classical particle in a two-dimensional
rotating anisotropic harmonic potential. By a sequence of symplectic
transformations for constant rotation velocity we find uncoupled normal
generalized coordinates and conjugate momenta in which the Hamiltonian takes
the form of two independent harmonic oscillators. The decomposition into
normal-mode dynamics enables us to design fast trap-rotation processes to
produce a rotated version of an arbitrary initial state, when the two normal
frequencies are commensurate.
