Jan Swoboda
Published 2006-01-19Version 1
The paper discusses various aspects of time-optimal control of quantum spin systems, modelled as right-invariant systems on a compact Lie group G. The main results are the reduction of such a system to an equivalent system on a homogeneous space G/H, and the explicit determination of optimal trajectories on G/H in the case where G/H is a Riemannian symmetric space. These results are mainly obtained by using methods from Lie theory and geometric control.
Tunnelling series in terms of perturbation theory for quantum spin systems
Reduced basis surrogates for quantum spin systems based on tensor networks
Correlations in Quantum Spin Systems from the Boundary Effect
