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A minimal model for fast scrambling | | Ron Belyansky
; Przemyslaw Bienias
; Yaroslav A. Kharkov
; Alexey V. Gorshkov
; Brian Swingle
; | | Date: |
11 May 2020 | | Abstract: | We study quantum information scrambling in spin models with both long-range
all-to-all and short-range interactions. We argue that a simple global,
spatially homogeneous interaction together with local chaotic dynamics is
sufficient to give rise to fast scrambling, which describes the spread of
quantum information over the entire system in a time that is logarithmic in the
system size. This is illustrated in two exactly solvable models: (1) a random
circuit with Haar random local unitaries and a global interaction and (2) a
classical model of globally coupled non-linear oscillators. We use exact
numerics to provide further evidence by studying the time evolution of an
out-of-time-order correlator and entanglement entropy in spin chains of
intermediate sizes. Our results can be verified with state-of-the-art quantum
simulators. | | Source: | arXiv, 2005.5362 | | Services: | Forum | Review | PDF | Favorites | |
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