Probing Out-of-Time-Order Correlators

Abstract

We present a method to probe the Out-of-Time-Order Correlators (OTOCs) of a general system by coupling it to a harmonic oscillator probe. When the system's degrees of freedom are traced out, the OTOCs imprint themselves on the generalized influence functional of the oscillator. This generalized influence functional leads to a local effective action for the probe whose couplings encode OTOCs of the system. We study the structural features of this effective action and the constraints on the couplings from microscopic unitarity. We comment on how the OTOCs of the system appear in the OTOCs of the probe.

14 pages+appendices, minor changes

References in corpus (13)

• Cavity Optomechanics
• Microscopic model of quantum butterfly effect: out-of-time-order correlators and traveling combustion waves
• Measurement of many-body chaos using a quantum clock
• Jarzynski-like equality for the out-of-time-ordered correlator
• Chaos signatures in the short and long time behavior of the out-of-time ordered correlator
• Many-Body Quantum Interference and the Saturation of Out-of-Time-Order Correlators
• Three Dimensional View of the SYK/AdS Duality
• Eigenstate thermalization in the Sachdev-Ye-Kitaev model
• Entanglement production and information scrambling in a noisy spin system
• Thermal out-of-time-order correlators, KMS relations, and spectral functions
• Strengthening weak measurements of qubit out-of-time-order correlators
• Signature of Chaos and Delocalization in a Periodically Driven Many Body System : An Out-of-Time-Order Correlation Study
• The linear and nonlinear Jaynes-Cummings model for the multiphoton transition

Cited by in corpus (14)

• Open quantum systems and Schwinger-Keldysh holograms
• Nonlinear Langevin dynamics via holography
• The Generalized OTOC from Supersymmetric Quantum Mechanics: Study of Random Fluctuations from Eigenstate Representation of Correlation Functions
• Holographic open quantum systems: Toy models and analytic properties of thermal correlators
• The Cosmological OTOC: Formulating new cosmological micro-canonical correlation functions for random chaotic fluctuations in Out-of-Equilibrium Quantum Statistical Field Theory
• The Cosmological OTOC: A New Proposal for Quantifying Auto-Correlated Random Non-Chaotic Primordial Fluctuations
• Measuring out-of-time-ordered correlation functions with a single impurity qubit in a bosonic Josephson junction
• A Bound on Thermal Relativistic Correlators at Large Spacelike Momenta
• Out of time ordered effective dynamics of a quartic oscillator
• A study of non-linear Langevin dynamics under non-Gaussian noise with quartic cumulant
• Traveling discontinuity at the quantum butterfly front
• Cosmological Geometric Phase From Pure Quantum States: A study without/with having Bell's inequality violation
• Quantum harmonic oscillator, entanglement in the vacuum and its geometric interpretation
• Schwinger-Keldysh path integral formalism for a Quenched Quantum Inverted Oscillator