Heidelberg 2015 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 9: Quantum Information: Quantum Computation I

Q 9.5: Vortrag

Montag, 23. März 2015, 15:45–16:00, B/gHS

Controlling motional degrees of freedom in a triangular array of individual rf-surface traps. — •Henning Kalis, Manuel Mielenz, Frederick Hakelberg, Matthias Wittemer, Ulrich Warring, and Tobias Schaetz — Albert-Ludwigs-Universität Freiburg, Physikalisches Institut

Geometrical frustration has turned out to be a mechanism for inducing exotic quantum disordered phases [1], whose dynamics have proven to be complicated to tackle on classical computers. Overcoming this difficulty, we try to follow Feynman‘s approach of quantum simualtions [2]. We chose a bottom up approach for such a quantum simulation [3] based on trapped ²⁵Mg⁺ ions. We implement the most basic geometry that exhibits frustration, using as an equilateral trianglular ion trap array [4]. In our setup ions are located in three distinct potential wells seperated by either 40 or 80 µm.
Moreover high-fidelity quantum control is obligatory and has been demonstrated in linear Paul-Traps [5,6]. Extending simulations into 2D, it is detrimental to implement deterministic control of the individual degrees of freedom e.g. spin-sates, eigenfrequencies and eigenmodes.
We report on recent results, showing manipulation of all degrees of freedom. In addition we outline the next steps towards ion-ion interaction of all constituent ions.

[1]Phys. Rev. B 63, 224401 (2001). [2]Int. J. Theor. Phys., VoL 21, Nos. 6/7, (1982). [3]New J. Phys. 15, 085009 (2013). [4]Phys. Rev. Lett. 102, 233002 (2009). [5]Nature Physics 4, 757 - 761 (2008). [6]Science 340, 583*587 (2013).