|
In this work we develop several new simulation algorithms for 1D many-body quantum mechanical systems combining the Matrix Product State variational ansatz with Taylor, Pad\'e and Arnoldi approximations to the evolution operator. By comparing all methods with previous techniques based on Trotter decompositions we demonstrate that the last method is the best one, reaching extremely good accuracy with moderate resources.
Finally we apply this new algorithm to a very important problem, which is to study the formation of molecules in an optical lattices when crossing a Feschbach resonance with a cloud of two-species hard-core bosons. We use a simple model of strongly interacting two-species bosons, which are coupled to a hard-core molecular state. We study molecule formation rates and the transfer of correlations between atoms and molecules. |
|