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    Purified pseudomode model for nonlinear system-bath interactions

    Cheng Zhang1,2, Neill Lambert3,*, Xin-Qi Li1,2, Mauro Cirio4,†, and Pengfei Liang1,2,‡

    • *Contact author: nwlambert@gmail.com
    • †Contact author: cirio.mauro@gmail.com
    • ‡Contact author: pfliang@imu.edu.cn

    Phys. Rev. B 112, 115131 – Published 15 September, 2025

    DOI: https://doi.org/10.1103/c91x-bhqw

    Abstract

    The theory of purified pseudomodes (arXiv:2412.04264) was recently developed to provide a numerical tool for the analysis of the properties of a quantum system and the environment it couples to via linear system-bath interactions. Here we extend this theory to allow for the description of general nonlinear system-bath interactions. We demonstrate the validity of our method by considering the spontaneous decay of a two-level atom placed inside a single-mode lossy cavity, and furthermore, its potential application to nanophotonics by calculating the resonance fluorescence spectrum of a quantum dot in the presence of a phonon environment. Our method provides a useful tool for the study of phonon-assisted emission in quantum dots and holds the promise for broad applications in fields like quantum biology, nonlinear phononics, and nanophotonics.

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