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.

arXiv comment5 pages and 1 figure. New version with minor changes and added references. Accepted in Physical Review A

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Cited by in corpus (14)

• Dressed Collective Qubit States and the Tavis-Cummings Model in Circuit QED
• Preparation of Dicke States in an Ion Chain
• Decoherence Effects on the Non-locality of Symmetric States
• Characterizing multipartite symmetric Dicke states under the effects of noise
• Creation of arbitrary Dicke and NOON states of trapped-ion qubits by global addressing with composite pulses
• Deterministic generation of arbitrary symmetric states and entanglement classes
• Entanglement of formation for a class of $(2\otimes d)$-dimensional systems
• Simple implementation of a quantum search with trapped ions
• Spin Squeezing, Negative Correlations, and Concurrence in the Quantum Kicked Top Model
• Stochastic local operations and classical communication properties of the n-qubit symmetric Dicke states
• Robust control of quantized motional states of a chain of trapped ions by collective adiabatic passage
• Multipartite Entanglement Generation Assisted by Inhomogeneous Coupling
• Deformations of the symmetric subspace of qubit chains
• Equally entangled multiqubit states