15 citations · 31 across the 4 of their papers we have counts for
8 papers
Analytic solution of the two-star model with correlated degrees
Maíra Bolfe, Fernando L. Metz, Edgar Guzmán-González +1
Exponential random graphs are important to model the structure of real-world complex networks. Here we solve the two-star model with degree-degree correlations in the sparse regime…
Efficient qubit phase estimation using adaptive measurements
Marco A. Rodríguez-García, Isaac Pérez Castillo, P. Barberis-Blostein
Estimating correctly the quantum phase of a physical system is a central problem in quantum parameter estimation theory due to its wide range of applications from quantum metrology…
Quantum quench in a driven Ising chain
Neil J. Robinson, Isaac Pérez Castillo, Edgar Guzmán-González
We consider the Ising chain driven by oscillatory transverse magnetic fields. For certain parameter regimes, we reveal a hidden integrable structure in the problem, which allows ac…
The exact two-spinon longitudinal dynamical structure factor of the anisotropic XXZ model
Isaac Pérez Castillo
Inelastic neutron scattering experiments are commonly used to unveil how excitations on Heisenberg spin models play a role in dynamical correlations functions. For a certain class…
Phase transitions in atypical systems induced by a condensation transition on graphs
Edgar Guzmán-González, Isaac Pérez Castillo, Fernando L. Metz
Random graphs undergo structural phase transitions that are crucial for dynamical processes and cooperative behavior of models defined on graphs. In this work we investigate the im…
Condensation of degrees emerging through a first-order phase transition in classical random graphs
Fernando L. Metz, Isaac Pérez Castillo
Due to their conceptual and mathematical simplicity, Erdös-Rényi or classical random graphs remain as a fundamental paradigm to model complex interacting systems in several areas.…