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Q: Fachverband Quantenoptik und Photonik
Q 42: Quanteninformation: Atome und Ionen II
Q 42.5: Talk
Thursday, March 5, 2009, 11:30–11:45, Audi-B
Simulating the Quantum Magnet Reloaded — •Christian Schneider1, Hector Schmitz1,2, Martin Enderlein1, Thomas Huber1, Axel Friedenauer1, and Tobias Schaetz1 — 1Max-Planck-Institut für Quantenoptik — 2LMU München
The simulation of the dynamics of quantum mechanical systems on a classical computer is a hard task, because the requirements of computational power increase exponentially with (linearly) increasing number of quantum mechanical constituents. One possibility to cope with that problem is a quantum simulator. In 2008 our group successfully demonstrated in a proof-of-concept experiment all building blocks for the simulation of Quantum Spin Hamiltonians with trapped Mg ions [1] based on a proposal by Porras and Cirac [2]. The simulation of an adiabatic evolution of two spins from paramagnetic (|→→>) to ferromagnetic order (|↑↑> or |↓↓>) of the Quantum Ising Hamiltonian was performed with a fidelity exceeding 98%. Recently we achieved the initialization of up to five ions in the motional ground state in the radial degrees of freedom and a phase gate [3] with two ions with a fidelity exceeding 90%. We will present our results, talk about our future plans of one- and two-dimensional simulations of Quantum Spin Hamiltonians [2, 4] and discuss the challange of scalability.
[1] A. Friedenauer, H. Schmitz et al., Nat. Phys. 4, 757, 2008
[2] D. Porras and J.I. Cirac, Phys. Rev. Lett. 92, 207901, 2004
[3] D. Leibfried et al., Nature 422, 412, 2003
[4] T. Schaetz et al., J. Mod. Opt. 54, 2317, 2007