Replacing neural networks by optimal analytical predictors for the detection of phase transitions

J Arnold, F Schäfer - Physical Review X, 2022 - APS
Identifying phase transitions and classifying phases of matter is central to understanding the
properties and behavior of a broad range of material systems. In recent years, machine …

Quantum kernels to learn the phases of quantum matter

T Sancho-Lorente, J Román-Roche, D Zueco - Physical Review A, 2022 - APS
Classical machine learning has succeeded in the prediction of both classical and quantum
phases of matter. Notably, kernel methods stand out for their ability to provide interpretable …

Critical scaling through Gini index

S Das, S Biswas - Physical Review Letters, 2023 - APS
In the systems showing critical behavior, various response functions have a singularity at the
critical point. Therefore, as the driving field is tuned toward its critical value, the response …

Experimental demonstration of adversarial examples in learning topological phases

H Zhang, S Jiang, X Wang, W Zhang, X Huang… - Nature …, 2022 - nature.com
Classification and identification of different phases and the transitions between them is a
central task in condensed matter physics. Machine learning, which has achieved dramatic …

Machine learning phase transitions: Connections to the Fisher information

J Arnold, N Lörch, F Holtorf, F Schäfer - arxiv preprint arxiv:2311.10710, 2023 - arxiv.org
Despite the widespread use and success of machine-learning techniques for detecting
phase transitions from data, their working principle and fundamental limits remain elusive …

Energy transfer in random-matrix ensembles of Floquet Hamiltonians

C Psaroudaki, G Refael - Physical Review B, 2023 - APS
We explore the statistical properties of energy transfer in ensembles of doubly driven
random-matrix Floquet Hamiltonians based on universal symmetry arguments. The energy …

Combining machine learning with physics: A framework for tracking and sorting multiple dark solitons

S Guo, SM Koh, AR Fritsch, IB Spielman… - Physical Review …, 2022 - APS
In ultracold-atom experiments, data often comes in the form of images which suffer
information loss inherent in the techniques used to prepare and measure the system. This is …

Finding critical points and correlation length exponents using finite size scaling of Gini index

S Das, S Biswas, A Chakraborti, BK Chakrabarti - Physical Review E, 2024 - APS
The order parameter for a continuous transition shows diverging fluctuation near the critical
point. Here we show, through numerical simulations and scaling arguments, that the …

On Theoretical Analyses of Quantum Systems: Physics and Machine Learning

S Guo - 2022 - search.proquest.com
Engineered quantum systems can help us learn more about fundamental physics topics and
quantum technologies with real-world applications. However, building them could involve …

A Study of the Scaling Behavior of the Two-dimensional Ising Model by Methods of Machine Learning

AA Chubarova, MV Mamonova, PV Prudnikov - 2024 - elib.sfu-kras.ru
In the field of condensed matter physics, machine learning methods have become an
increas-ingly important instrument for researching phase transitions. Here we present a …