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Deutsche Physikalische Gessellschaft IOP Institute of Physics

Trapped Rydberg ions: from spin chains to fast quantum gates

Markus Müller1,3, Linmei Liang2, Igor Lesanovsky1 and Peter Zoller1

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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.


PACS

37.10.De Atom cooling methods

03.67.Lx Quantum computation architectures and implementations

42.50.-p Quantum optics

Subjects

Atomic and molecular physics

Computational physics

Optics, quantum optics and lasers

Quantum information and quantum mechanics

Dates

Issue 9 (September 2008)

Received 20 April 2008

Published 10 September 2008



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