Hugo Bencomo Martín

Computational Physics

Simulations & Modeling

Numerical notebooks separated from the theoretical reports: quantum simulations for spin probability currents and toy-model simulations for dark-matter-driven binary hardening and stalling.

Computational Simulation Projects

Streamplot of spin probability currents in a quantum Hall-like system

Spin Probability Currents in a Magnetic Field

Numerical work developed for my bachelor's thesis and related preprint: imaginary-time ground-state evolution, spin and orbital particle-current analysis, and real-time dynamics using RK4 solvers. The aim is to test when spin currents cancel orbital currents and how interactions in a condensate modify the total current.

Jupyter / Python / SciPy
GitHub Repo View Notebook
Toy N-body frame of a supermassive black-hole binary interacting with a dark-matter spike

Final Parsec Problem - CDM Spike Depletion

Toy-model simulations for the IAC internship showing that a cold dark-matter spike produces dynamical friction and hardens the SMBH binary at first. Once the spike is depleted by microscopic slingshot ejections, the inspiral reaches a plateau, reproducing the Final Parsec Problem and motivating the SIDM replenishment mechanism discussed in the report.

Jupyter / Python
GitHub Repo View Notebook