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28 March 2024
 
  » arxiv » 1608.8938

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Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
Martin Gärttner ; Justin G. Bohnet ; Arghavan Safavi-Naini ; Michael L. Wall ; John J. Bollinger ; Ana Maria Rey ;
Date 31 Aug 2016
AbstractHighly controllable arrays of ions and ultra-cold atoms are providing exciting opportunities for realizing quantum simulators of complex many-body phenomena that can provide insights into unsolved problems in modern science. A fundamental step towards this goal is the development of protocols that can quantify how a quantum simulator builds up quantum correlations and stores quantum information starting from easily prepared uncorrelated states. Out-of-time-order correlation functions have been recently suggested as ideal probes to accomplish this task, because they can quantify the spreading, or "scrambling", of quantum information and set speed limits for thermalization. They might also enable experimental tests of the holographic duality between quantum and gravitational systems. Here we report experimental measurements of dynamics of out-of-time-order correlations in a quantum simulator of more than 100 ions in a Penning trap by using the many-body echo sequence developed in the context of nuclear magnetic resonance to probe the multiple quantum coherence spectrum. Our experiment involves the time reversal of the evolution under an all-to-all Ising Hamiltonian and allows us to measure the spin state purity, the spreading of many-body quantum coherences and the build-up of up to 8-body correlations. Comparisons to numerical simulations also allow us to use this protocol as a sensitive tool for quantifying and understanding various sources of decoherence. Our measurements pave the way for using time-reversal schemes for entanglement detection, quantum enhanced metrology, studies of quantum chaos, quantum phase transitions, and criticality.
Source arXiv, 1608.8938
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