Machine Learning Time Propagators for Time-Dependent Density Functional Theory Simulations
- URL: http://arxiv.org/abs/2508.16554v2
- Date: Wed, 24 Sep 2025 12:54:35 GMT
- Title: Machine Learning Time Propagators for Time-Dependent Density Functional Theory Simulations
- Authors: Karan Shah, Attila Cangi,
- Abstract summary: We present a machine learning approach to accelerate electron dynamics simulations based on real time TDDFT.<n>We demonstrate the effectiveness of our model on a class of one-dimensional diatomic molecules under the influence of a range of laser parameters.
- Score: 0.28647133890966986
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Time-dependent density functional theory (TDDFT) is a widely used method to investigate electron dynamics under external time-dependent perturbations such as laser fields. In this work, we present a machine learning approach to accelerate electron dynamics simulations based on real time TDDFT using autoregressive neural operators as time-propagators for the electron density. By leveraging physics-informed constraints and featurization, and high-resolution training data, our model achieves superior accuracy and computational speed compared to traditional numerical solvers. We demonstrate the effectiveness of our model on a class of one-dimensional diatomic molecules under the influence of a range of laser parameters. This method has potential in enabling on-the-fly modeling of laser-irradiated molecules and materials by utilizing fast machine learning predictions in a large space of varying experimental parameters of the laser.
Related papers
- Acceleration of Atomistic NEGF: Algorithms, Parallelization, and Machine Learning [61.12861060232382]
The Non-equilibrium Green's function (NEGF) formalism is a powerful method to simulate the quantum transport properties of nanoscale devices.<n>This paper summarizes key (algorithmic) achievements that have allowed us to bring DFT+NEGF simulations closer to the dimensions and functionality of realistic systems.
arXiv Detail & Related papers (2026-02-03T12:01:39Z) - Accelerating Long-Term Molecular Dynamics with Physics-Informed Time-Series Forecasting [7.705860755153007]
Molecular dynamics (MD) simulation is vital for understanding atomic-scale processes in materials science and biophysics.<n>Traditional density functional theory (DFT) methods are computationally expensive, which limits the feasibility of long-term simulations.<n>We propose a novel approach that formulates MD simulation as a time-series forecasting problem.
arXiv Detail & Related papers (2025-09-16T02:00:52Z) - Fractional Spike Differential Equations Neural Network with Efficient Adjoint Parameters Training [63.3991315762955]
Spiking Neural Networks (SNNs) draw inspiration from biological neurons to create realistic models for brain-like computation.<n>Most existing SNNs assume a single time constant for neuronal membrane voltage dynamics, modeled by first-order ordinary differential equations (ODEs) with Markovian characteristics.<n>We propose the Fractional SPIKE Differential Equation neural network (fspikeDE), which captures long-term dependencies in membrane voltage and spike trains through fractional-order dynamics.
arXiv Detail & Related papers (2025-07-22T18:20:56Z) - FlashMD: long-stride, universal prediction of molecular dynamics [4.10341947149624]
We propose FlashMD, a method to predict the evolution of positions and momenta over strides that are between one and two orders of magnitude longer than typical MD time steps.<n>We validate FlashMD's accuracy in reproducing equilibrium and time-dependent properties, using both system-specific and general-purpose models.
arXiv Detail & Related papers (2025-05-25T22:34:31Z) - Accelerating Electron Dynamics Simulations through Machine Learned Time Propagators [0.9208007322096533]
We present a novel approach to accelerate real time TDDFT based electron dynamics simulations.
By leveraging physics-informed constraints and high-resolution training data, our model achieves superior accuracy and computational speed.
This method has potential in enabling real-time, on-the-fly modeling of laser-irradiated molecules and materials.
arXiv Detail & Related papers (2024-07-12T18:29:48Z) - A Multi-Grained Symmetric Differential Equation Model for Learning Protein-Ligand Binding Dynamics [73.35846234413611]
In drug discovery, molecular dynamics (MD) simulation provides a powerful tool for predicting binding affinities, estimating transport properties, and exploring pocket sites.
We propose NeuralMD, the first machine learning (ML) surrogate that can facilitate numerical MD and provide accurate simulations in protein-ligand binding dynamics.
We demonstrate the efficiency and effectiveness of NeuralMD, achieving over 1K$times$ speedup compared to standard numerical MD simulations.
arXiv Detail & Related papers (2024-01-26T09:35:17Z) - Equivariant Graph Neural Operator for Modeling 3D Dynamics [148.98826858078556]
We propose Equivariant Graph Neural Operator (EGNO) to directly models dynamics as trajectories instead of just next-step prediction.
EGNO explicitly learns the temporal evolution of 3D dynamics where we formulate the dynamics as a function over time and learn neural operators to approximate it.
Comprehensive experiments in multiple domains, including particle simulations, human motion capture, and molecular dynamics, demonstrate the significantly superior performance of EGNO against existing methods.
arXiv Detail & Related papers (2024-01-19T21:50:32Z) - Accelerating Electronic Stopping Power Predictions by 10 Million Times with a Combination of Time-Dependent Density Functional Theory and Machine Learning [1.0327148933896368]
Knowing the rate at which particle radiation releases energy in a material is key to designing nuclear reactors, medical treatments, semiconductor and quantum materials.
We establish a method that combines time-dependent density functional theory and machine learning to reduce the time to assess new materials to mere hours on a supercomputer.
Our approach uses TDDFT to compute the electronic stopping contributions to stopping power from first principles in several directions and then machine learning to interpolate to other directions at a cost of 10 million times fewer core-hours.
arXiv Detail & Related papers (2023-11-01T19:11:46Z) - Neural Operators for Accelerating Scientific Simulations and Design [85.89660065887956]
An AI framework, known as Neural Operators, presents a principled framework for learning mappings between functions defined on continuous domains.
Neural Operators can augment or even replace existing simulators in many applications, such as computational fluid dynamics, weather forecasting, and material modeling.
arXiv Detail & Related papers (2023-09-27T00:12:07Z) - Machine learning enabled experimental design and parameter estimation
for ultrafast spin dynamics [54.172707311728885]
We introduce a methodology that combines machine learning with Bayesian optimal experimental design (BOED)
Our method employs a neural network model for large-scale spin dynamics simulations for precise distribution and utility calculations in BOED.
Our numerical benchmarks demonstrate the superior performance of our method in guiding XPFS experiments, predicting model parameters, and yielding more informative measurements within limited experimental time.
arXiv Detail & Related papers (2023-06-03T06:19:20Z) - Forecasting the outcome of spintronic experiments with Neural Ordinary
Differential Equations [4.154570557236527]
We show that a dynamical neural network, trained on a minimal amount of data, can predict the behavior of spintronic devices.
Spin-Neural ODE is a disruptive tool for developing spintronic applications in complement to micromagnetic simulations.
arXiv Detail & Related papers (2021-07-23T16:35:41Z) - Fast and differentiable simulation of driven quantum systems [58.720142291102135]
We introduce a semi-analytic method based on the Dyson expansion that allows us to time-evolve driven quantum systems much faster than standard numerical methods.
We show results of the optimization of a two-qubit gate using transmon qubits in the circuit QED architecture.
arXiv Detail & Related papers (2020-12-16T21:43:38Z) - Learning Compact Physics-Aware Delayed Photocurrent Models Using Dynamic
Mode Decomposition [1.933681537640272]
Radiation-induced photocurrent in semiconductor devices can be simulated using complex physics-based models.
It is computationally infeasible to evaluate detailed models for multiple individual circuit elements.
We show a procedure for learning compact delayed photocurrent models that are efficient enough to implement in large-scale circuit simulations.
arXiv Detail & Related papers (2020-08-27T18:21:46Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.