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Comment: 4 pages, 3 figures, minor corrections
Comment: 5 pages, 5 figures; changed sign convention in some definitions
The influence of the electrons interaction with longitudinal acoustic phonons on magnetoeletric and spin-related transport effects are investigated. The physical system under consideration has been assumed to be a two dimensional electron gas system with both Rashba and Dreesselhaus spin-orbit couplings. In the works which have been previously performed in this field it has been shown that in the non-equilibrium regime, the Rashba and Dreesselhaus couplings can not be responsible for spin-current where in the absence of other interactions such as lattice vibrations identically vanishes. In the current work we have employed a semi-classical method by using the Boltzmann approach. It was shown that the spin-current of the system, in general, does not go all the way to zero at any value of the spin-orbit couplings. It was also shown tha...
We theoretically analyze atom interferometry based on trapped ultracold atoms, and employ optimal control theory in order to optimize number squeezing and condensate trapping. In our simulations, we consider a setup where the confinement potential is transformed from a single to a double well, which allows to split the condensate. To avoid in the ensuing phase-accumulation stage of the interferometer dephasing due to the nonlinear atom-atom interactions, the atom number fluctuations between the two wells should be sufficiently low. We show that low number fluctuations (high number squeezing) can be obtained by optimized splitting protocols. Two types of solutions are found: in the Josephson regime we find an oscillatory tunnel control and a parametric amplification of number squeezing, while in the Fock regime squeezing is obtained s...
We report on the realization of a double-well potential for Rubidium-87 Bose-Einstein condensates. The experimental setup allows the investigation of two different dynamical phenomena known for this system - Josephson oscillations and self-trapping. We give a detailed discussion of the experimental setup and the methods used for calibrating the relevant parameters. We compare our experimental findings with the predictions of an extended two-mode model and find quantitative agreement.
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