6533b855fe1ef96bd12b0a79

RESEARCH PRODUCT

Optimal control of quantum superpositions in a bosonic Josephson junction

Giulia FerriniGiulia FerriniDominique SugnyM. Lapert

subject

Josephson effectDYNAMICSDECOHERENCEQuantum decoherence2-LEVELPopulationFOS: Physical sciencesQuantum entanglementBROAD-BAND EXCITATION01 natural sciences010305 fluids & plasmaslaw.inventionSuperposition principlelawSYSTEMSQuantum mechanics0103 physical sciences010306 general physicseducationQuantumENTANGLEMENTBOSE-EINSTEIN CONDENSATEPOPULATIONPhysicseducation.field_of_studyOptimal controlAtomic and Molecular Physics and OpticsPULSESSTATESQuantum Gases (cond-mat.quant-gas)Condensed Matter - Quantum GasesBose–Einstein condensate

description

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.

https://hal.archives-ouvertes.fr/hal-00760308