Semiclassical fast-forward shortcuts to adiabaticity

In fast-forward quantum shortcuts to adiabaticity, a designed potential U-FF(q, t) steers a wave function to evolve from the nth eigenstate of an initial Hamiltonian ((H) over cap0) to the nth eigenstate of a final Hamiltonian (H) over cap(tau), in finite time tau. Previously proposed strategies for constructing U-FF are (in the absence of special symmetries) limited to the ground state n = 0. We develop a method that overcomes this limitation, thereby substantially expanding the applicability of this shortcut to adiabaticity, and we illustrate its effectiveness with numerical simulations. Semiclassical analysis provides insight and establishes a close correspondence to the analogous classical fast-forward method.