2020/07/29 by A. Tobalina, E. Torrontegui, I. Lizuain +2 · 1 citation
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1103/physreva.102.063112
published as Phys. Rev. A 102, 063112 (2020)
arxiv created 2020/07/29 · arxiv updated 2021/01/04
Two-dimensional systems with time-dependent controls admit a quadratic Hamiltonian modelling near potential minima. Independent, dynamical normal modes facilitate inverse Hamiltonian engineering to control the system dynamics, but some systems are not separable into independent modes by a point transformation. For these "coupled systems" 2D invariants may still guide the Hamiltonian design. The theory to perform the inversion and two application examples are provided: (i) We control the deflection of wave packets in transversally harmonic waveguides; and (ii) we design the state transfer from one coupled oscillator to another.