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    Interference-induced state engineering and Hamiltonian control for noisy collective-spin metrology

    Le Bin Ho1,2,*, Vu Xuan Tung Duong3, Nozomu Takahashi1, and Hiroaki Matsueda1,4

    • 1Department of Applied Physics, Graduate School of Engineering, Tohoku University, Sendai 980-8579, Japan
    • 2Frontier Research Institute for Interdisciplinary Sciences, Tohoku University, Sendai 980-8578, Japan
    • 3Department of Mechanical and Aerospace Engineering, Tohoku University, Sendai 980-0845, Japan
    • 4Center for Science and Innovation in Spintronics, Tohoku University, Sendai 980-8577, Japan

    • *Contact author: binho@fris.tohoku.ac.jp

    Phys. Rev. A 114, 032206 – Published 9 September, 2026

    DOI: https://doi.org/10.1103/sxxg-77b1

    Abstract

    Interference provides a fundamental mechanism for generating and manipulating entanglement in many-body quantum systems. Here, we develop an interference framework in which the nonlinear dynamics of collective spin-12 ensembles are mapped onto phase accumulation and self-interference in phase space, providing a direct and physically transparent description of entanglement formation. Within this framework, one-axis twisting produces Greenberger-Horne-Zeilinger (GHZ) states, while two-axis twisting generates multicomponent GHZ superpositions relevant for multiparameter quantum metrology. Building on this interference-based description, we analyze metrological performance under realistic Markovian noise, including local and collective emission, pumping, and dephasing, and examine the role of Hamiltonian control based on linear and nonlinear interactions. We show that the optimal control enhances sensitivity in both single- and multiparameter estimation across noise-dependent regimes. These results establish interference as a unifying principle linking nonlinear dynamics, entanglement generation, and metrological performance. This framework offers a broadly applicable route to robust quantum-enhanced sensing in noisy many-body systems.

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