3 papers
math.NA2026
Cayley Commutator-free Methods for Krotov-Type Algorithms in Quantum Optimal Control
Boris Wembe, Usman Ali, Torsten Meier +1
This paper presents a class of structure-preserving numerical methods for quantum optimal control problems, based on commutator-free Cayley integrators. Starting from the Krotov fr…
quant-ph2024
Wave packet dynamics in parabolic optical lattices: From Bloch oscillations to long-range dynamical tunneling
Usman Ali, Martin Holthaus, Torsten Meier
We investigate the dynamics of wave packets in a parabolic optical lattice formed by combining an optical lattice with a global parabolic trap. Our study examines the phase space r…
cond-mat.quant-gas2024
Floquet dynamics of ultracold atoms in optical lattices with a parametrically modulated trapping potential
Usman Ali, Martin Holthaus, Torsten Meier
Experiments with ultracold atoms in optical lattices usually involve a weak parabolic trapping potential which merely serves to confine the atoms, but otherwise remains negligible.…