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Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/231683
Soliton dynamics with time-dependent neural quantum states
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A variational approach based on Neural Quantum States is used to simulate the real-time dynamics of bright and dark solitons in the one-dimensional Gross–Pitaevskii equation. In this framework, the condensate wavefunction is represented by a complex-valued neural network, whose parameters are evolved according to the Time-Dependent Variational Principle. This method provides a flexible neural network representation of the wavefunction and it is validated against analytical benchmarks to assess its accuracy and stability. The developed tool captures the main dynamics of several scenarios, including stationary soliton preparation, single soliton propagation, and two soliton interaction and collision processes. These examples serve as proof of principle to explore the capacity of Neural Quantum States to represent time-dependent nonlinear wavefunctions, highlighting their potential as a flexible variational framework for nonlinear quantum dynamics
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Màster Oficial de Ciència i Tecnologia Quàntiques / Quantum Science and Technology, Facultat de Física, Universitat de Barcelona. Curs: 2025-2026. Tutors: Arnau Rios, Alejandro Romero-Ros, Javier Rozalén
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AYERBE MOLINÉ, Mikel. Soliton dynamics with time-dependent neural quantum states. [consulted: 25 of September of 2026]. Available at: https://hdl.handle.net/2445/231683