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Determination of Multi-mode Motional Quantum States in a Trapped Ion System

Quantum Physics 2022-09-14 v1 Atomic Physics

Abstract

Trapped atomic ions are a versatile platform for studying interactions between spins and bosons by coupling the internal states of the ions to their motion. Measurement of complex motional states with multiple modes is challenging, because all motional state populations can only be measured indirectly through the spin state of ions. Here we present a general method to determine the Fock state distributions and to reconstruct the density matrix of an arbitrary multi-mode motional state. We experimentally verify the method using different entangled states of multiple radial modes in a 5-ion chain. This method can be extended to any system with Jaynes-Cummings type interactions.

Keywords

Cite

@article{arxiv.2205.11444,
  title  = {Determination of Multi-mode Motional Quantum States in a Trapped Ion System},
  author = {Zhubing Jia and Ye Wang and Bichen Zhang and Jacob Whitlow and Chao Fang and Jungsang Kim and Kenneth R. Brown},
  journal= {arXiv preprint arXiv:2205.11444},
  year   = {2022}
}

Comments

11 pages, 8 figures