Optimal control of quantum superpositions in a bosonic Josephson junction

Details Optimal control of quantum superpositions in a bosonic Josephson junction Optimal control of quantum superpositions in a bosonic Josephson junction

2011-06-12

arxiv.org/abs/1106.2316v2

PRA 85, 023611 (2012)

Physics

Condensed Matter

Quantum Gases

Several comments added, structure re-organized

Scientific paper

10.1103/PhysRevA.85.023611

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.

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