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A python toolbox for calculations on one dimensional quantum spin chains. Includes model Hamiltonians, operators, symmetries, spectrum analysis, entropy calculations, and examples.
Simulation of 1D Ising model and visualized all the numerical configurations and energy level degenercy, to find the intersection with Boltzmann distribution function. 2D Ising model, etc.
Project developed for the Numeric Simulation Laboratory A.A. 2022-2023, held by professor Davide Emilio Galli at the University of Milan, Physics Department.
Implements the Cavity Method on a 1D Ising model, derives the Wigner semicircle law via Random Matrix Theory, and explores electron conduction in disordered systems using the Anderson model.
Ce projet explore le modèle d’Ising sur des réseaux de taille finie afin d’étudier les propriétés statistiques et thermodynamiques des systèmes magnétiques. L’objectif est de simuler et analyser le comportement collectif des spins en fonction de la température, en observant notamment la transition de phase entre l’état ordonné et désordonné.
Project developed for the Numeric Simulation Laboratory A.A. 2023-2024, held by professor Davide Emilio Galli at the University of Milan, Physics Department.