Signatures of quantum chaos in an out-of-time-order tensor
arXiv:2105.08282 · doi:10.1103/PhysRevLett.128.150601
Abstract
Motivated by the famous ink-drop experiment, where ink droplets are used to determine the chaoticity of a fluid, we propose an experimentally implementable method for measuring the scrambling capacity of quantum processes. Here, a system of interest interacts with a small quantum probe whose dynamical properties identify the chaoticity of the system. Specifically, we propose a fully quantum version of the out-of-time-order correlator (OTOC) - which we term the out-of-time-order matrix (OTOM) - whose correlations offer clear information theoretic meanings about the chaoticity of a process. We illustrate the utility of the OTOM as a signature of chaos using random unitary processes as well as in the quantum kicked rotor, where the chaoticity is tuneable.
References in corpus (10)
- Thermalization and its mechanism for generic isolated quantum systems
- Quantum Circuits Architecture
- Lyapunov Exponent and Out-of-Time-Ordered Correlator's Growth Rate in a Chaotic System
- Information Scrambling in Computationally Complex Quantum Circuits
- Operational Markov condition for quantum processes
- Microscopic model of quantum butterfly effect: out-of-time-order correlators and traveling combustion waves
- An introduction to operational quantum dynamics
- Scrambling and Complexity in Phase Space
- Quantum simulation of disordered systems with cold atoms
- Dynamical localization and the effects of aperiodicity in Floquet systems
Cited by in corpus (11)
- Scrambling is Necessary but Not Sufficient for Chaos
- Relaxation of Multitime Statistics in Quantum Systems
- Witnessing quantum chaos using observational entropy
- Quantum Chaos in the Extended Dicke Model
- Information scrambling -- a quantum thermodynamic perspective
- Power-law decay of the fraction of the mixed eigenstates in kicked top model with mixed-type classical phase space
- Statistical and dynamical aspects of quantum chaos in a kicked Bose-Hubbard dimer
- Markovian to non-Markovian phase transition in the operator dynamics of a mobile impurity
- Out-of-Time-Order-Correlation in perturbed quantum wells
- Long-time signatures of chaos in large atom-light frequency ratios Rabi model
- Diagnosing chaos with projected ensembles of process tensors