We demonstrate that a Bose-Einstein condensate that interacts with a standing wave in a cavity shows the same Bragg oscillations as a single atom. This may serve as a basis for the construction of a beam splitter for condensates. The setup is compared with the beam splitter for condensates based on a standing laser wave.
Atom interferometry allows for new precision limits in measurement and a key component of it is the beam-splitter. In this thesis we look at the properties of an all optical beam-splitter, which is created by the overlap of two Gaussian laser beams,which also function as waveguides for the Bose-Einstein condensate. For this mainly the split step Fourier method is used to model the propagation of a low density Bose-Einstein condensate of atoms. The two main areas of interest are the splitting and recombination properties. \nThe splitting is studied both in two and one dimensions. For the one-dimensional case both standing and propagating waves are used to find the ideal splitting conditions of a balanced splitting and transmission. The result of these methods are in general agreement with the exception that for the propagating wave some of the atoms can become localised inside the beam-splitter. For the propagation it was found that the splitting is not perfectly coherent as the outputs are slightly deformed. However, when looking at the two-dimensional case we see that the splitting is not even close to being coherent. This is because the beam-splitter excites the incoming wave into higher transverse modes of the waveguides. To compensate for this the depth of the waveguides was lowered and the width narrowed to reduce the potential kinetic energy that the atoms could acquire and to increase the separation between the eigenstates to lower the probability of excitation into higher modes, respectively. Nonetheless, these investigations improved the splitting balance but it is still not coherent. Another method investigated was the introduction of a third laser which acts as a filling to reduce the depth of the potential well where the lasers generate the beam-splitter. This approach does not improve the splitting. \nHence instead of recombining single mode waves we used a multimode approach. For this we found that the mirror position is crucial for certain parameters as the longitudinal momentum is not necessarily the same in the reflection and transmission waveguide. Our investigations have generated interference fringes in this model \nsystem with a fractional height up to 33%.
We report the experimental realization of a multibeam atom laser. A single continuous atom laser is outcoupled from a Bose-Einstein condensate via an optical Raman transition. The atom laser is subsequently split into up to five atomic beams with slightly different momenta, resulting in multiple, nearly copropagating, coherent beams which could be of use in interferometric experiments. The splitting process itself is a realization of Bragg diffraction, driven by each of the optical Raman laser beams independently. This presents a significantly simpler implementation of an atomic beam splitter, one of the main elements of coherent atom optics.
The use of off-resonant standing light waves to manipulate ultracold atoms is investigated. Previous work has illustrated that Bragg diffraction can provide efficient beam-splitting and reflection operations for atomic wave packets. The performance of these operations is characterized experimentally using Bose-Einstein condensates confined in a weak magnetic trap. Fidelities of 0.99 for beam splitting and 0.98 for reflection are observed, and splitting operations of up to third order are achieved. The dependence of the operations on light intensity and atomic velocity is measured and found to agree well with theoretical estimates.
We develop a theoretical model to investigate the Bragg diffraction of an elongated interacting Bose-Einstein condensate which is illuminated by a pair of laser beams. We find that the mean-field effect resulting from the atomic interaction plays an important role in modifying the atomic coherence. Our results show that both the repulsive and attractive interactions would dampen the momentum oscillation of the condensate; they establish surprisingly distinguishable equilibria for the atomic occupations among different diffraction orders. We also give an experimental proposal to observe this phenomenon.
Atomic beam splitter needs for the practical realization of nano-scale lithography by coherent scattering of the atoms. We consider the different types of atomic beam splitters, which could be used for the creation of the space structures with nano-scale period. We concentrate to a few main schemes of an interaction between an atom beam and optical radiation, which can produce a large angle splitting of atom beam into only two main momentum components: multi Bragg scattering an atom wave packet in standing wave; coherent splitting by scattering of an atom wave packet in standing wave with modulated intensity, when the intensity of the standing wave changes harmonically. We discuss also the experimental possibility of an atom selection in internal states for obtaining of space periodical structure with high clearance.
The use of off-resonant standing light waves to manipulate ultracold atoms is investigated. Previous work has illustrated that optical pulses can provide efficient beam-splitting and reflection operations for atomic wave packets. The performance of these operations is characterized experimentally using Bose-Einstein condensates confined in a weak magnetic trap. Under optimum conditions, fidelities of up to 0.99 for beam splitting and 0.98 for reflection are observed, and splitting operations of up to third order are achieved. The dependence of the operations on light intensity and atomic velocity is measured and found to agree well with theoretical estimates.