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20222026
most citedChirped Bloch-Harmonic oscillations in a parametrically forced optical lattice

2 citations · 3 across the 4 of their papers we have counts for

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5 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.…

quant-ph2023★ 2 cited

Chirped Bloch-Harmonic oscillations in a parametrically forced optical lattice

Usman Ali, Martin Holthaus, Torsten Meier

The acceleration theorem for wavepacket propagation in periodic potentials disentangles the kspace dynamics and real-space dynamics. This is well known and understood for Bloch osc…

cond-mat.quant-gas2022★ 1 cited

Super-Bloch oscillations with parametric modulation of a parabolic trap

Usman Ali, Torsten Meier

Super-Bloch oscillations are the outcome of a relative phase between Bloch oscillations and modulations of the periodic lattice. We analyze the dynamics for a model system in which…