Shortcuts to adiabaticity (STA) are fast routes to the final results of slow, adiabatic changes
of the controlling parameters of a system. The shortcuts are designed by a set of analytical …

Two-dimensional (2D) systems with time-dependent controls admit a quadratic Hamiltonian
modeling near potential minima. Independent, dynamical normal modes facilitate inverse …

By applying invariant-based inverse engineering in the small-oscillation regime, we design
the time dependence of the control parameters of an overhead crane (trolley displacement …

We review methods to shuttle quantum particles fast and robustly. Ideal robustness amounts
to the invariance of the desired transport results with respect to deviations, noisy or …

We investigate theoretically the possibility for robust and fast cooling of a trapped atomic ion
by transient interaction with a pre-cooled ion. The transient coupling is achieved through …

We study the dynamics of a quantum or classical particle in a two-dimensional rotating
anisotropic harmonic potential. By a sequence of symplectic transformations for constant …

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 …

Invariant-based inverse engineering is an elegant approach to quantum control with
corresponding experimental implementations that perform tasks with applications in …

Rapid separation of linear crystals of trapped ions into different subsets is critical for
realizing trapped ion quantum computing architectures where ions are rearranged in trap …

In this paper we study the conjugate locus in convex manifolds. Our main tool is Jacobi
fields, which we use to define a special coordinate system on the unit sphere of the tangent …