Trapped Rydberg Ions: From Spin Chains to Fast Quantum Gates

Details Trapped Rydberg Ions: From Spin Chains to Fast Quantum Gates Trapped Rydberg Ions: From Spin Chains to Fast Quantum Gates

2007-09-18

arxiv.org/abs/0709.2849v4

New J. Phys. 10, 093009 (2008)

Physics

Quantum Physics

26 pages, 9 figures

Scientific paper

10.1088/1367-2630/10/9/093009

We study the dynamics of Rydberg ions trapped in a linear Paul trap, and discuss the properties of ionic Rydberg states in the presence of the static and time-dependent electric fields constituting the trap. The interactions in a system of many ions are investigated and coupled equations of the internal electronic states and the external oscillator modes of a linear ion chain are derived. We show that strong dipole-dipole interactions among the ions can be achieved by microwave dressing fields. Using low-angular momentum states with large quantum defect the internal dynamics can be mapped onto an effective spin model of a pair of dressed Rydberg states that describes the dynamics of Rydberg excitations in the ion crystal. We demonstrate that excitation transfer through the ion chain can be achieved on a nanosecond timescale and discuss the implementation of a fast two-qubit gate in the ion chain.

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