Interferometric-Spectroscopy With Quantum-Light; Revealing Out-of-Time-Ordering Correlators

TL;DR

This paper explores how interferometric techniques with quantum light can measure out-of-time-ordering correlators, revealing information about quantum system dynamics and information scrambling.

Contribution

It introduces experimental schemes to access out-of-time-ordering correlators using quantum interferometry, linking quantum optics with quantum information concepts.

Findings

Quantum light sensitivity to coupling order enhances measurement capabilities.

Interferometric schemes can recover quantum information encoded in matter correlations.

OTOCs reveal how perturbations propagate in quantum systems.

Abstract

We survey the inclusion of interferometric elements in nonlinear spectroscopy performed with quantum light. Controlled interference of electromagnetic fields coupled to matter can induce constructive or destructive contributions of microscopic coupling sequences (histories) of matter. Since quantum fields do not commute, quantum light signals are sensitive to the order of light-matter coupling sequence. Matter correlation functions are thus imprinted by different field factors, which depend on that order. We identify the associated quantum information obtained by controlling the weights of different contributing pathways, and offer several experimental schemes for recovering it. Nonlinear quantum response functions include out-of-time-ordering matter correlators (OTOC) which reveal how perturbations spread throughout a quantum system (information scrambling). Their effect becomes most notable when using ultrafast pulse sequences with respect to the path difference induced by the interferometer. OTOC appear in quantum-informatics studies in other fields, including black holes, high energy, and condensed matter physics.