Bound on quantum scrambling with all-to-all interactions
Chao Yin, Andrew Lucas
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.
Topics & Concepts
ScramblingQuantumPhysicsOperator (biology)Degrees of freedom (physics and chemistry)Spin (aerodynamics)Quantum gravityQuantum mechanicsTheoretical physicsMathematical physicsMathematicsChemistryAlgorithmThermodynamicsBiochemistryRepressorGeneTranscription factorBlack Holes and Theoretical PhysicsQuantum many-body systemsQuantum Mechanics and Applications