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Q: Fachverband Quantenoptik und Photonik
Q 34: Poster Quanteninformation
Q 34.13: Poster
Tuesday, March 20, 2007, 16:30–18:30, Poster C
The ion trap not as an universal, but as an "universe-quantum-computer" — •Hector Schmitz, Axel Friedenauer, Steffen Kahra, Lutz Petersen, and Tobias Schätz — MPI für Quantenoptik, Hans-Kopfermann-Str. 1, 85748 Garching
Paul-style ion traps can be used for quantum simulation purposes in versatile ways. Besides the proposal of universal quantum computing with stroboscopic gates one can benefit from the quantum dynamics of trapped ions directly: additional interaction with laser beams allow for a wide range of Hamiltonians that evolve probe systems in the laboratory in analogy to their often hard to access pendants in nature. By adjusting lasers and electrical potentials with the same ions totally different Hamiltonians can be implemented, like quantum phase transitions in different Ising model families or the quantum random walk.
Another interesting Hamiltonian arises from quantum field theory on curved space times---applied to the evloving universe. The Robertson-Walker-metric leads to a wave equation in which a scale parameter describes the cosmological expansion. Starting with a vacuum state a non-adiabatic time variation of this scale parameter might lead to the generation of particle pairs. This amplification of quantum fluctuations probably seeded the observed distribution of matter in the universe and its background radiation. In strong analogy we predict for the non-adiabatic change of the ion trapping potential the generation of phonon pairs.