Constructing fast forward adiabatic spin dynamics from semiclassical approach Iwan Setiawan, Ryan Sugihakim, Bobby Eka Gunara
University of Bengkulu, Bandung Institute of Technology
Abstract
Fast forward adiabatic dynamics is designed to accelerate the evolution of wave function the n^th eigenstate of an initial Hamiltonian H(0) to the n^th eigenstate of a final Hamiltonian H(τ-), in finite time. This scheme is constructed by using two opposite parameters i.e adiabatic paramater with a very slow dynamics to keep the adiabaticity and time scaling factor to accelerate the system. Fast forward adiabatic dynamics is constructed by obtaining the fast forward potential VFF that can steer the wave function to move in a shorter time. The procedure for constructing VFF generically leads to divergent behavior, as a result this method has been restricted to ground-state wavefunctions. Here we will constructed the fast forward potential by considering a semiclassical approach an applying to spin model. In this semiclassical spin model, fast forward Hamiltonian will accelerate the dynamics of the spin adiabatically
Keywords: Fast forward, adiabatic, spin, semiclassical
