Authors: Tobalina, A.; Torrontegui, E.; Lizuain, I; Palmero, M.; Muga, J. G.

Contribution: Article


Publication date: 2020/12/14

DOI: 10.1103/PhysRevA.102.063112

Abstract: Two-dimensional (2D) systems with time-dependent controls admit a quadratic Hamiltonian modeling 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 wave guides and (ii) we design the state transfer from one coupled oscillator to another.