13 citations · 28 across the 7 of their papers we have counts for
7 papers
Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices
Edgar Guzmán-González, Isaac Pérez Castillo
We develop a replica-based framework for the scaled cumulant-generating functional of the empirical spectral distribution function of diluted Hermitian random matrices. Withi…
Noise Effects on the Wilczek-Zee Geometric Phase
Pedro Aguilar, Chryssomalis Chryssomalakos, Edgar Guzmán-González
Non-abelian geometric phases have been proposed as an essential ingredient in logical gate implementation -- their geometric nature guarantees their invariance under reparametrizat…
Symmetric Multiqudit States: Stars, Entanglement, Rotosensors
Chryssomalis Chryssomalakos, Louis Hanotel, Edgar Guzmán-González +3
A constellation of Majorana stars represents an arbitrary pure quantum state of dimension or a permutation-symmetric state of a system consisting of qubits. We gene…
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…
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…
Analytic approach for the number statistics of non-Hermitian random matrices
Antonio Tonatiúh Ramos Sánchez, Edgar Guzmán-González, Isaac Pérez Castillo +1
We introduce a powerful analytic method to study the statistics of the number of eigenvalues inside any contour for infinitely large…
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…