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Welcome to my physics corner! Below are some of the projects, personal and research, that I have worked on! Feel free to contact me if you have any questions about them.
Some aren't yet linked while I polish up the GitHub repositories. Coming soon!
-Kyle
Interactive
Interactive
A graphical interface for simulating the 2D square lattice Ising model, built in Python. See the lattice update in real time and adjust parameters on the fly! A great tool for teaching those who want to become familiar with classical lattice models.
Supports Metropolis-Hastings, Wolff, Swendsen-Wang, Kawasaki, and Glauber dynamics with live visualization of the lattice and plotting of key observables.
A graphical interface for simulating the 2D square lattice XY model, built in Python.
Supports Metropolis-Hastings and Wolff dynamics, with an additional limited-change implementation of Metropolis-Hastings, which boosts acceptance rate by limiting the maximum difference of new proposed spin states.
Computational
Computational
Classical Models
Classical Models
A collection of 2D square lattice Ising model simulations using the Metropolis, Wolff, and Worm algorithms written in Python. Comparisons of results between the different algorithms and a discussion on the benefits and pitfalls of each.
XY_Model
XY_Model
A collection of 2D square lattice XY model simulations using the Metropolis, Wolff, and Worm algorithms written in Python. Also includes an additional limited-change method for the XY model, which can save runtimes at low temperatures by shrinking the new angle proposal window, which drastically increases acceptance rates.
Quantum Models
Quantum Models
1D_TFIM
1D_TFIM
An exact diagonalization approach to solving the 1D transverse field Ising model. Used to show the D to D+1 correspondence between quantum and classical systems, where the 1D TFIM shows a discrete phase transition similar to the 2D classical Ising model.
Two implementations of a 1D chain geometry applied to the Fermi-Hubbard model, simulated using Determinant Quantum Monte Carlo (DQMC). I implemented one from scratch using Python, and the other using Julia and my fork of SmoQyDQMC.
Square_Hubbard
Square_Hubbard
A DQMC approach to the square lattice Fermi-Hubbard model using SmoQyDQMC.
Kagome_Hubbard
Kagome_Hubbard
A DQMC approach to the Kagome lattice Fermi-Hubbard model using SmoQyDQMC, where my research group was able to show evidence of Ferromagnetic behavior in a certain domain of density, temperature, and energy.
Tools
Tools
A fork of the powerful SmoQyDQMC.jl package, where I removed the necessity for large amounts of file reads/writes. This leads to significantly faster runtimes and is still fully compatible with code written for the base version of SmoQyDQMC.
A Python tool for gathering outputs from SmoQyDQMC.jl and calculating their averages and error bars. Condenses the results of hundreds or thousands of individual runs into just a few files that can easily be used for data analysis.
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