Marc Lapert, Giulia Ferrini, Dominique Sugny
We show how to optimally control the creation of quantum superpositions in a
bosonic Josephson junction within the two-site Bose-Hubbard model framework.
Both geometric and purely numerical optimal control approaches are used, the
former providing a generalization of the proposal of Micheli et al [Phys. Rev.
A 67, 013607 (2003)]. While this method is shown not to lead to significant
improvements in terms of time of formation and fidelity of the superposition, a
numerical optimal control approach appears more promising, as it allows to
create an almost perfect superposition, within a time short compared to other
existing protocols. We analyze the robustness of the optimal solution against
atom number variations. Finally, we discuss to which extent these optimal
solutions could be implemented with the state of art technology.
View original:
http://arxiv.org/abs/1106.2316
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