Quantum signatures of chaos in a cavity-QED-based stimulated Raman adiabatic passage

TL;DR

This paper investigates quantum signatures of chaos in a cavity-QED system during stimulated Raman adiabatic passage, demonstrating how quantum measures like OTOC and purity dips reveal chaotic behavior consistent with classical chaos indicators.

Contribution

It introduces a fully quantum many-body analysis of chaos in cavity-QED STIRAP, linking quantum signatures such as OTOC and purity dips to classical chaos metrics.

Findings

OTOC accurately captures chaotic vs. non-chaotic phases

Single-particle purity dips in chaotic phase

Quantum state spreading correlates with chaos

Abstract

A nonlinear stimulated Raman adiabatic passage (STIRAP) is a fascinating physical process that dynamically explores chaotic and non-chaotic phases. In a recent paper Phys. Rev. Res. 2, 042004 (R) (2020), such a phenomenon is realized in a cavity-QED platform. There, the emergence of chaos and its impact on STIRAP efficiency are mainly demonstrated in the semiclassical limit. In the present paper I treat the problem in a fully quantum many-body framework. With the aim of extracting quantum signatures of a classically chaotic system, it is shown that an out-of-time-ordered correlator (OTOC) measure precisely captures chaotic/non-chaotic features of the system. The prediction by OTOC is in precise matching with classical chaos quantified by Lyapunov exponent (LE). Furthermore, it is shown that the quantum route corresponding to the semiclassical followed state encounters a dip in single-particle purity within the chaotic phase, depicting a consequence of chaos. A dynamics through the chaotic phase is associated with spreading of many-body quantum state and an irreversible increase in the number of participating adiabatic eigenstates.