Adiabaticity in a Nonlinear Atom-Molecule Condensate System

J. J. Zhu, Xi Chen

Robust stimulated Raman exact passages are requisite for controlling nonlinear quantum systems, with wide applications, ranging from ultracold molecules to nonlinear optics to superchemistry. Inspired by shortcuts to adiabaticity, we propose the fast-forward scaling of stimulated Raman adiabatic processes with nonlinearity involved, describing the transfer from an atomic Bose-Einstein condensate to a molecular one by controllable external fields. The fidelity and robustness of atom-molecule conversion are shown to surpass those of conventional adiabatic passages, assisted by the fast-forward driving field. Finally, our results are extended to fractional stimulated Raman adiabatic processes for the coherent superposition of atomic and molecular states.

R. H. Wynar

Eddy Timmermans, Arthur K. Kerman, Paolo Tommasini

Geng Zhen-Duo, Jia Ning, Xu Zhao +2 more

We study the adiabatic dark-state evolutions in coherent creations of heteronuclear diatomic or triatomic molecules from an ultracold two-species atomic condensate. We find that, for different nonlinear systems, the relations between the adiabatic fidelities and the adiabatic parameters are in a universal power law but with quite different parameters.

剛也 鶴見

Carlo Ottaviani, V. Ahufinger, R. Corbalán +1 more

We show that the adiabatic dynamics of a Bose-Einstein condensate (BEC) in a double-well potential can be described in terms of a dark variable resulting from the combination of the population imbalance and the spatial atomic coherence between the two wells. By means of this dark variable, we extend, to the nonlinear matter-wave case, the recent proposal by Vitanov and Shore [Phys. Rev. A 73, 053402 (2006)] on adiabatic passage techniques to coherently control the population of two internal levels of an atom or molecule. We investigate the conditions to adiabatically split or transport a BEC as well as to prepare an adiabatic self-trapping state by the optimal delayed temporal variation of the tunneling rate via either the energy bias between the two wells or the BEC nonlinearity. The emergence of nonlinear eigenstates and unstable stationary solutions of the system as well as their role in the breaking down of the adiabatic dynamics is investigated in detail.