Spectral analysis of the Koopman operator recovers Hamiltonian parameters in open quantum systems

• URL: http://arxiv.org/abs/2511.23470v3
• Date: Fri, 05 Dec 2025 15:05:31 GMT
• Title: Spectral analysis of the Koopman operator recovers Hamiltonian parameters in open quantum systems
• Authors: Jorge E. Pérez-García, Carlos Colchero, Julio C. Gutiérrez-Vega,
• Abstract summary: We show that the multichannel Hankel alternative view of Koopman (mHAVOK) algorithm is a robust and reliable data-driven method for retrieving Hamiltonian parameters.<n>The method relies on the discrete spectrum of the Koopman operator to obtain these parameters, which are computed using the mHAVOK algorithm.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Accurate identification of Hamiltonian parameters is essential for modeling and controlling open quantum systems. In this work, we demonstrate that the multichannel Hankel alternative view of Koopman (mHAVOK) algorithm is a robust and reliable spectral data-driven method for retrieving Hamiltonian parameters from the evolution of first-moment observables in open quantum systems. The method relies on the discrete spectrum of the Koopman operator to obtain these parameters, which are computed using the mHAVOK algorithm; a theoretical connection to this affirmation is presented. The method is tested on noiseless quadratures of an open two-dimensional quantum harmonic oscillator and shown to retrieve oscillation frequencies, damping rates, nonlinear Kerr shifts, the qubit-photon coupling strength of a Jaynes-Cummings interaction, and the modulated frequency of a time-dependent Hamiltonian. The majority of the recovered parameters remained within 5\% of their actual values. Compared with Fourier and matrix-pencil estimators, our approach yields lower errors for dynamics with strong dissipation. Overall, these findings suggest that Koopman operator theory provides a practical framework for studying quantum dynamical systems.

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