Nonlinear time-reversal interferometry with arbitrary quadratic collective-spin interaction

TL;DR

This paper introduces a robust nonlinear time-reversal interferometry scheme using arbitrary quadratic collective-spin interactions, enhancing precision and robustness in atomic quantum metrology.

Contribution

It proposes a novel interferometry method based on the LMG model with optimized squeezing and anti-squeezing, and introduces a Floquet driving technique for effective time reversal.

Findings

Two specific LMG model cases outperform in robustness and precision.

Floquet driving enables high-performance time reversal.

The scheme sets a benchmark for precision and robustness in atomic interferometry.

Abstract

Atomic nonlinear interferometry has wide applications in quantum metrology and quantum information science. Here we propose a nonlinear time-reversal interferometry scheme with high robustness and metrological gain based on the spin squeezing generated by arbitrary quadratic collective-spin interaction, which could be described by the Lipkin-Meshkov-Glick (LMG) model. We optimize the squeezing process, encoding process, and anti-squeezing process, finding that the two particular cases of the LMG model, one-axis twisting and two-axis twisting outperform in robustness and precision, respectively. Moreover, we propose a Floquet driving method to realize equivalent time reverse in the atomic system, which leads to high performance in precision, robustness, and operability. Our study sets a benchmark in achieving high precision and robustness in atomic nonlinear interferometry.