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We prove bounds on operator growth and infinite temperature out-of-time-ordered correlators in many-body systems with $N$ spin-$\frac{1}{2}$ degrees of freedom which interact via two-body all-to-all interactions. Our results parametrically improve… Click to show full abstract
We prove bounds on operator growth and infinite temperature out-of-time-ordered correlators in many-body systems with $N$ spin-$\frac{1}{2}$ degrees of freedom which interact via two-body all-to-all interactions. Our results parametrically improve previous bounds, and sharply constrain when and how quantum simulators, including trapped ion crystals and cavity quantum electrodynamics, can study quantum gravity.
Keywords:
scrambling interactions;
bound quantum;
quantum scrambling
Journal Title: Physical Review A
Year Published: 2020
Link to full text (if available)
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Journal Title: Physical Review A
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!