Ramp dynamics of phonons in an ion trap: entanglement generation and cooling

Abstract

We show that the ramp dynamics of phonons in an one-dimensional ion trap can be used for both generating multi-particle entangled states and motional state cooling of a string of trapped ions. We study such ramp dynamics using an effective Bose-Hubbard model which describes these phonons at low energies and show that specific protocols, involving site-specific dynamical tuning of the on-site potential of the model, can be used to generate entangled states and to achieve motional state cooling without involving electronic states of the ions. We compare and contrast our schemes for these to the earlier suggested ones and discuss specific experiments to realize the suggested protocols.

v2, final version accepted for publication in PHys. Rev. Lett

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Cited by in corpus (7)

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• Dissipatively driven strongly interacting bosons in a gauge field
• Realizing Exactly Solvable SU(N) Magnets with Thermal Atoms
• Tuning energy transport using interacting vibrational modes
• NOON state generation with phonons in acoustic wave resonators assisted by a nitrogen-vacancy-center ensemble
• Operator-based derivation of phonon modes and characterization of correlations for trapped ions at zero and finite temperature
• Theory of phonon dynamics in an ion trap