Hugo Bencomo Martín

Research

Research & Publications

My current work examines spin-dependent particle currents in synthetic Hall systems and interacting Bose–Einstein condensates. This page collects the resulting preprint, thesis, and selected theoretical projects.

Research Output

Publications

Preprint · arXiv:2606.17248 · 2026

Spin effects in the particle current of Bose–Einstein condensates in synthetic gauge fields

Hugo Bencomo Martín and Antonio Muñoz Mateo

Manuscript submitted to Physical Review A

We examine how spin contributes to the particle-current density of pseudospin-1/2 Bose–Einstein condensates. It restores the local classical Hall drift in the non-interacting ground state, while interactions reduce the spin-to-orbital current ratio and alter the circulation.

View on arXiv Download Preprint

Selected Work

Selected Research Projects

One-dimensional cross section of spin and orbital probability currents

Bachelor's Thesis: Spin Effects in Particle Currents

Bachelor's thesis · 10/10 with Honors · 2026

The thesis studies a spin contribution often omitted from non-relativistic particle currents. It recovers the classical Hall drift in the non-interacting ground state, while interactions break the spin–orbital cancellation. This work led to the preprint above.

Quantum Mechanics / BEC / Hall Physics
View in ULL Repository Download Thesis Related Preprint
Numerical frame of a supermassive black-hole binary inspiral

Solving the Final Parsec Problem with Self-Interacting Dark Matter

IAC internship · 2026

During my IAC internship, I reviewed how a thermalized self-interacting dark-matter core may replenish the depleted spike around a supermassive black-hole binary and sustain dynamical friction.

Astrophysics / SIDM / Gravitational Waves
GitHub Repo View report
Landau-level diagram for charged quantum states in a magnetic field

Gauge Invariance, Landau Quantization, and Probability Currents

Research notes · 2025

Notes connecting minimal coupling and U(1) gauge invariance with Landau quantization and probability-current densities in non-relativistic and relativistic quantum dynamics.

Non-relativistic Quantum Mechanics View report
Spatial symmetry diagram for conserved quantities in the Pauli equation

Symmetries of the Pauli Equation

Research notes · 2025

Notes on spin rotations, spacetime translations, generators, commutators, and the conserved quantities of the Pauli Hamiltonian.

Non-relativistic Quantum Mechanics Read more

Reports

Selected Reports

Full thesis and supporting reports for the projects above.