Solution of inverse problem for Gross-Pitaevskii equation with artificial neural networks

Autor:	Pokatov, Stepan P., Ivanova, Tatiana Yu., Ivanov, Denis A.
Rok vydání:	2023
Předmět:	Condensed Matter - Quantum Gases Quantum Physics
Druh dokumentu:	Working Paper
DOI:	10.1088/1612-202X/ace70c
Popis:	We propose an Artificial Neural Network (ANN) design to solve the inverse problem for a 1D Gross-Pitaevskii equation (GPE). More precise, the ANN takes the squared modulus of the stationary GPE solution as an input and returns the parameters of the potential function and the factor in front of the GPE non-linear term. From the physical point of view the ANN predicts the parameters of a trap potential and the interaction constant of 1D Bose-Einstein Condensate (BEC) by its density distribution. Using the results of numerical solution of GPE for more than $30 000$ sets of GPE parameters as train and validation datasets we build the ANN as a fast and accurate inverse GPE solver. Comment: 9 pages, 8 figures; submitted to Laser Physics Letters
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.14184 Zobrazit plný text záznamu View this record from Arxiv