Operator Growth from Global Out-of-time-order Correlators
arXiv:2112.01562 · doi:10.1038/s41467-023-39065-5
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.
arXiv comment10+7 pages, 14 figures
References in corpus (27)
- A bound on chaos
- Black holes and the butterfly effect
- Observation of discrete time-crystalline order in a disordered dipolar many-body system
- Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
- Realizing a lattice spin model with polar molecules
- Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
- Environment-independent decoherence rate in classically chaotic systems
- Measuring the scrambling of quantum information
- Emergence and Frustration of Magnetic Order with Variable-Range Interactions in a Trapped Ion Quantum Simulator
- Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
- Exact Spectral Form Factor in a Minimal Model of Many-Body Quantum Chaos
- Exploring Localization in Nuclear Spin Chains
- Microscopic model of quantum butterfly effect: out-of-time-order correlators and traveling combustion waves
- Many-body dynamics of dipolar molecules in an optical lattice
- Weak Quantum Chaos
- Experimental observation of a phase transition in the evolution of many-body systems with dipolar interactions
- The acceleration of evolutionary spread by long-range dispersal
- Strongly interacting ultracold polar molecules
- Emergent perturbation independent decay of the Loschmidt echo in a many-spin system studied through scaled dipolar dynamics
- Operator Dynamics in Brownian Quantum Circuit
- Quantum chaos dynamics in long-range power law interaction systems
- The operator Lévy flight: light cones in chaotic long-range interacting systems
- NMR multiple quantum coherences in quasi-one-dimensional spin systems: Comparison with ideal spin-chain dynamics
- Scrambling and Lyapunov Exponent in Unitary Networks with Tunable Interactions
- Dynamics of quantum information scrambling under decoherence effects measured via active spins clusters
- Quantum simulations of localization effects with dipolar interactions
- Scrambling dynamics and many-body chaos in a random dipolar spin model