Generation of continuous variable squeezing and entanglement of trapped ions in time-varying potentials

Abstract

We investigate the generation of squeezing and entanglement for the motional degrees of freedom of ions in linear traps, confined by time-varying and oscillating potentials, comprised of an DC and an AC component. We show that high degrees of squeezing and entanglement can be obtained by controlling either the DC or the AC trapping component (or both), and by exploiting transient dynamics in regions where the ions' motion is unstable, without any added optical control. Furthermore, we investigate the time-scales over which the potentials should be switched in order for the manipulations to be most effective.

10 pages, submitted to Quantum Information Processing (special issue on Quantum Decoherence and Entanglement)

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• Dynamical recurrence and the quantum control of coupled oscillators
• Observing different phases for the dynamics of entanglement in an ion trap
• Input-output Gaussian channels: theory and application
• Would one rather store squeezing or entanglement in continuous variable quantum memories?
• Propagation properties and limitations on the attainable entanglement in a driven harmonic chain
• Exponentially enhanced gravitationally induced entanglement between quantum systems with a two-phonon drive
• Squeezing below the ground state of motion of a continuously monitored levitating nanoparticle