期刊
NATURE PHYSICS
卷 13, 期 8, 页码 781-+出版社
NATURE PUBLISHING GROUP
DOI: 10.1038/NPHYS4119
关键词
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资金
- Defense Advanced Research Projects Agency (DARPA) [W911NF-16-1-0576]
- Defense Advanced Research Projects Agency (DARPA) through the Army Research Office (ARO)
- NSF [PHY 1521080]
- JILA-NSF [PFC-1125844]
- ARO
- Air Force Office of Scientific Research and its Multidisciplinary University Research Initiative (AFOSR-MURI)
- National Research Council Research Associateship Award at NIST
- NIST
Controllable arrays of ions and ultracold atoms can simulate complex many-body phenomena and may provide insights into unsolved problems in modern science. To this end, experimentally feasible protocols for quantifying the buildup of quantum correlations and coherence are needed, as performing full state tomography does not scale favourably with the number of particles. Here we develop and experimentally demonstrate such a protocol, which uses time reversal of the many-body dynamics to measure out-of-time-order correlation functions (OTOCs) in a long-range Ising spin quantum simulator with more than 100 ions in a Penning trap. By measuring a family of OTOCs as a function of a tunable parameter we obtain fine-grained information about the state of the system encoded in the multiple quantum coherence spectrum, extract the quantum state purity, and demonstrate the buildup of up to 8-body correlations. Future applications of this protocol could enable studies of many-body localization, quantum phase transitions, and tests of the holographic duality between quantum and gravitational systems.
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