Darmstadt 2008 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 21: Quanteninformation (Quantencomputer II)

Q 21.1: Talk

Tuesday, March 11, 2008, 16:30–16:45, 1B

Towards two-dimensional quantum simulations with trapped ions — •Christian Schneider, Robert Matjeschk, and Tobias Schätz — Max-Planck-Institut für Quantenoptik

An ion crystal in a Paul trap is a promising candidate for a quantum simulator or analogue quantum computer. Thereby a quantum system shall be implemented and studied which is described by the same Hamiltonian as the system to be simulated. The crucial parameters of the implemented system are accessible which is often not the case for the “real” sytem. First experimental results in building a quantum simulator for a quantum spin Ising Hamiltonian with two ions have recently been shown [1].

To gain deeper insight into quantum dynamics, we plan to extend these fundamental experiments to more ions and into two dimensions [2]. As successful studies of one-dimensional planar Paul traps have been shown [3,4], a promising approach is to realize a two-dimensional array of trapped ions in a planar two-dimensional surface trap. We want to show our visions of two-dimensional quantum simulations and first steps towards their realization by a two-dimensional Paul trap of 2 × 2 ions.
[1] Phys. Rev. Lett., to be submitted

[2] T. Schätz et. al., J. Mod. Opt., accepted

[3] J. Chiaverini et. al., Quant. Inf. Comp. 5, 419–439

[4] S. Seidelin et. al., Phys. Rev. Lett. 96, 253003–4