Invariant-based inverse engineering of time-dependent, coupled harmonic oscillators
A. Tobalina,
E. Torrontegui,
I. Lizuain
et al.
Abstract: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 pack… Show more
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