Abstract
We explore the effect of introducing mild nonlocality into otherwise local, chaotic quantum systems, on the rate of information spreading and associated rates of entanglement generation and operator growth. We consider various forms of nonlocality, both in 1-dimensional spin chain models and in holographic gauge theories, comparing the phenomenology of each. Generically, increasing the level of nonlocality increases the rate of information spreading, but in lattice models we find instances where these rates are slightly suppressed.
Highlights
Initially localized on some test subsystem T
We explore the effect of introducing mild nonlocality into otherwise local, chaotic quantum systems, on the rate of information spreading and associated rates of entanglement generation and operator growth
Introducing nonlocality into the system was found to enhance scrambling as well as the entanglement generation, eluding previous bounds proposed in the context of local quantum field theory
Summary
Before turning to consider the effects of nonlocality, we here summarize the various terms, concepts, and techniques employed in the investigation. The argument follows a variation of the Hayden and Preskill protocol of information recovery [45], and states that the information cone of a test site T can be identified, at any given time, by finding the largest region centered on the test site which satisfies two conditions. It must have reached entanglement saturation, and second, it must be within the butterfly cone of the test site T.
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