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Quantum Dynamics with Time-Dependent Neural Quantum States

by Alejandro Romero-Ros, Javier Rozalén Sarmiento and Arnau Rios

Submission summary

Authors (as registered SciPost users): Alejandro Romero-Ros
Submission information
Preprint Link: scipost_202509_00052v1  (pdf)
Code repository: https://github.com/Alejandro-FQA/EuCAIFCon2025
Date submitted: Sept. 29, 2025, 10:36 a.m.
Submitted by: Alejandro Romero-Ros
Submitted to: SciPost Physics Proceedings
Proceedings issue: The 2nd European AI for Fundamental Physics Conference (EuCAIFCon2025)
Ontological classification
Academic field: Physics
Specialties:
  • Nuclear Physics - Theory
  • Quantum Physics
Approaches: Theoretical, Computational

Abstract

We present proof-of-principle time-dependent neural quantum state (NQS) simulations to illustrate the ability of this approach to effectively capture key aspects of quantum dynamics in the continuum. NQS leverage the parameterization of the wave function with neural-network architectures. Here, we put NQS to the test by solving the quantum harmonic oscillator. We obtain the ground state and perform coherent state and breathing mode dynamics. Our results are benchmarked against analytical solutions, showcasing an excellent agreement.

Current status:
In refereeing

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