Neural-network quantum states for ultra-cold Fermi gases

J Kim, G Pescia, B Fore, J Nys, G Carleo… - Communications …, 2024 - nature.com
Ultra-cold Fermi gases exhibit a rich array of quantum mechanical properties, including the
transition from a fermionic superfluid Bardeen-Cooper-Schrieffer (BCS) state to a bosonic …

Second-order optimization strategies for neural network quantum states

M Drissi, JWT Keeble… - Philosophical …, 2024 - royalsocietypublishing.org
The Variational Monte Carlo (VMC) method has recently seen important advances through
the use of neural network quantum states. While more and more sophisticated ansatze have …

A Machine Learning Approach to Trapped Many-Fermion Systems

PF Bedaque, H Kumar, A Sheng - arXiv preprint arXiv:2410.17383, 2024 - arxiv.org
We apply a variational Ansatz based on neural networks to the problem of spin-$1/2$
fermions in a harmonic trap interacting through a short distance potential. We showed that …

Fermionic Neural Networks through the lens of Group Theory

JR Sarmiento, A Rios - arXiv preprint arXiv:2411.11605, 2024 - arxiv.org
We present an overview of the method of Neural Quantum States applied to the many-body
problem of atomic nuclei. Through the lens of group representation theory, we focus on the …

Transfer Learning For Many-Body Systems

A Azzam - 2023 - diposit.ub.edu
We study the ground-state properties of fully-polarized, trapped, one-dimensional fermions
interacting through a Gaussian potential using a variational wavefunction represented by an …

Radial and angular correlations in a confined system of two atoms in two-dimensional geometry

P Kościk - Quantum Information Processing, 2024 - Springer
We study the ground-state entanglement between two atoms in a two-dimensional isotropic
harmonic trap. We consider a finite-range soft-core interaction that can be applied to …

Machine learning for self-bound quantum systems

J Mosteiro García - 2024 - diposit.ub.edu
In this work we compute the ground-state properties of one-dimensional systems composed
of fully-polarized fermions interacting through an attractive Gaussian potential. If the …

Analytical and Machine Learning study of one-dimensional non-interacting spinless trapped fermionic systems

J Rius Casado - 2023 - diposit.ub.edu
In this work we study the ground-state properties of three different one-dimensional systems
of N identical, non-interacting, spinless fermions trapped in a potential well. We consider a …

Machine learning solutions for the two-dimensional quantum harmonic oscillator

L Begiristain Ribó - 2023 - diposit.ub.edu
In this work, I have used Artificial Neural Networks to find the ground state of the 2D quantum
harmonic oscillator. I have trained networks in two different ways: by using a mesh of points …