Operator Growth from Global Out-of-time-order Correlators
- URL: http://arxiv.org/abs/2112.01562v1
- Date: Thu, 2 Dec 2021 19:09:06 GMT
- Title: Operator Growth from Global Out-of-time-order Correlators
- Authors: Tianci Zhou and Brian Swingle
- Abstract summary: We show that operator growth, as diagnosed by out-of-time-order correlators of local operators, also leaves a sharp imprint in out-of-time-order correlators of global operators.
Building on an earlier conjectured phase diagram for operator growth in chaotic systems with power-law interactions, we show that existing nuclear spin data for out-of-time-order correlators of global operators are well fit by our theory.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In the context of chaotic quantum many-body systems, we show that operator
growth, as diagnosed by out-of-time-order correlators of local operators, also
leaves a sharp imprint in out-of-time-order correlators of global operators. In
particular, the characteristic spacetime shape of growing local operators can
be accessed using global measurements without any local control or readout.
Building on an earlier conjectured phase diagram for operator growth in chaotic
systems with power-law interactions, we show that existing nuclear spin data
for out-of-time-order correlators of global operators are well fit by our
theory. We also predict super-polynomial operator growth in dipolar systems in
3d and discuss the potential observation of this physics in future experiments
with nuclear spins and ultra-cold polar molecules.
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