Selective Control of the Symmetric Dicke Subspace in Trapped Ions

Abstract

We propose a method of manipulating selectively the symmetric Dicke subspace in the internal degrees of freedom of N trapped ions. We show that the direct access to ionic-motional subspaces, based on a suitable tuning of motion-dependent AC Stark shifts, induces a two-level dynamics involving previously selected ionic Dicke states. In this manner, it is possible to produce, sequentially and unitarily, ionic Dicke states with increasing excitation number. Moreover, we propose a probabilistic technique to produce directly any ionic Dicke state assuming suitable initial conditions.

5 pages and 1 figure. New version with minor changes and added references. Accepted in Physical Review A

References in corpus (3)

• Scalable multi-particle entanglement of trapped ions
• Experimental Observation of Four-Photon Entangled Dicke State with High Fidelity
• Universal and deterministic manipulation of the quantum state of harmonic oscillators: a route to unitary gates for Fock State qubits

Cited by in corpus (7)

• Dressed Collective Qubit States and the Tavis-Cummings Model in Circuit QED
• Decoherence Effects on the Non-locality of Symmetric States
• Simple implementation of a quantum search with trapped ions
• Spin Squeezing, Negative Correlations, and Concurrence in the Quantum Kicked Top Model
• Robust control of quantized motional states of a chain of trapped ions by collective adiabatic passage
• Deformations of the symmetric subspace of qubit chains
• Equally entangled multiqubit states