Investigation of a single boson species in a Feschbach resonance

Krittika Kanjilal, Iris Reichenbach, Ivan Deutsch

Juan José García‐Ripoll

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, Pade and Arnoldi approximations to the evolution operator. By comparing all methods with previous techniques based on Trotter decompositions we demonstrate that the Arnoldi method is the best one, reaching extremely good accuracy with moderate resources. Finally we apply this algorithm to studying the formation of molecules in an optical lattices when crossing a Feschbach resonance with a cloud of two-species hard-core bosons.

Raffaele Carlone, M. Correggi, D. Finco +1 more

Juan José García‐Ripoll

In this work, we develop several new simulation algorithms for one-dimensional (1D) many-body quantum mechanical systems combining the Matrix Product State variational ansatz (vMPS) with Taylor, Padé and Arnoldi approximations to the evolution operator. By comparing with previous techniques based on vMPS and Density Matrix Renormalization Group (DMRG), we demonstrate that the Arnoldi method is the best one, reaching extremely good accuracy with moderate resources. Finally, we apply this algorithm to studying how correlations are transferred from the atomic to the molecular cloud when crossing a Feschbach resonance with two-species hard-core bosons in a 1D optical lattice.

高浩 水崎

Anatoly B. Kuklov