21 citations · 85 across the 10 of their papers we have counts for
19 papers
Invariant-based inverse engineering for balanced displacement of a cart-pole system
I. Lizuain, A. Tobalina, A. Rodriguez-Prieto
Adiabaticity is a key concept in physics, but its applications in mechanical and control engineering remain underexplored. Adiabatic invariants ensure robust dynamics under slow ch…
Impact of Force Noise on the Visibility of STA-Based Atom Interferometers
Sofía Martínez-Garaot, I. Lizuain, A. Rodriguez-Prieto +1
In a previous work, we designed a compact atom interferometer to measure homogeneous constant forces guiding the arms via shortcuts to adiabatic paths. Within this scheme we drive…
Inverse engineering of fast state transfer among coupled oscillators
Xiao-Jing Lu, Ion Lizuain, J. G. Muga
We design faster-than-adiabatic state transfers (switching of quantum numbers) in time-dependent coupled-oscillator Hamiltonians. The manipulation to drive the process is found usi…
Shortcuts to adiabatic rotation of a two-ion chain
Ander Tobalina, Juan Gonzalo Muga, Ion Lizuain +1
We inverse engineer fast rotations of a linear trap with two ions for a predetermined rotation angle and time, avoiding final excitation. Different approaches are analyzed and comp…
Invariant-based inverse engineering of time-dependent, coupled harmonic oscillators
A. Tobalina, E. Torrontegui, I. Lizuain +2
Two-dimensional systems with time-dependent controls admit a quadratic Hamiltonian modelling near potential minima. Independent, dynamical normal modes facilitate inverse Hamiltoni…
Interferometer for force measurement by shortcut-to-adiabatic arms guiding
A. Rodriguez-Prieto, S. Martínez-Garaot, I. Lizuain +1
We propose a compact atom interferometer to measure homogeneous constant forces guiding the arms via shortcuts to adiabatic paths. For a given sensitivity, which only depends on th…