Engineering the Landau-Zener tunneling of ultracold atoms in tilted potentials [Elektronische Ressource] / by Ghazal Tayebirad

Engineering the Landau–Zener Tunnelingof Ultracold Atoms in Tilted PotentialsInaugural dissertationbyGhazal TayebiradDissertationsubmitted to theCombined Faculties of the Natural Sciences andMathematicsof theRuperto-Carola-University of Heidelberg, Germanyfor the degree ofDoctor of Natural SciencesPut forward byGhazal Tayebirad, M.Sc.born in Ahvaz, IranOral examination: 24 January 2011Engineering the Landau–Zener Tunnelingof Ultracold Atoms in Tilted PotentialsReferees: Dr. Sandro WimbergerProf. Dr. Ulrich SchwarzOut of the cradleonto dry land...here it is standing...atoms with consciousness...matter with curiosity.Stands at the sea...wonders at wondering... I...a universe of atoms...an atom in the universeRichard FeynmannvAbstractA comprehensive study of the time-resolved Landau–Zener tunneling of a Bose–Einstein condensate in a tilted periodic potential is presented in this thesis. Sev-eral ways are discussed how to control the tunneling. In the first collection ofour results, the tunneling from the ground band to the continuum is shown todepend crucially on the initial condition and system parameters, and also on thestrength of atom-atom interactions. The use of different protocols enables usto access the tunneling probability in two different bases, namely, the adiabaticbasis (eigenstates of the Hamiltonian with the potential) and the diabatic basis(free-particle momentum eigenstates).