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28 March 2024 |
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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 | Abstract: | Highly 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 | Services: | Forum | Review | PDF | Favorites |
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