output
20142022
most citedSpectral order statistics of Gaussian random matrices: large deviations for trapped fermions and associated phase transitions

24 citations

5 papers

quant-ph2022★ 18 cited

Non-Hermitian topological mobility edges and transport in photonic quantum walks

Stefano Longhi

In non-Hermitian quasicrystals, mobility edges (ME) separating localized and extended states in complex energy plane can arise as a result of non-Hermitian terms in the Hamiltonian…

physics.chem-ph2021★ 8 cited

Identifying Reaction Pathways in Phase Space via Asymptotic Trajectories

Yutaka Nagahata, Florentino Borondo, Rosa M. Benito +1

In this paper, we revisit the concepts of the reactivity map and the reactivity bands as an alternative to the use of perturbation theory for the determination of the phase space g…

cond-mat.stat-mech2015

On the passage properties of the gradual capture of a diffusive particle in the presence of drift

Javier Quetzalcóatl Toledo-Marín, Isaac Pérez Castillo

We investigate a stochastic process consisting of a two-dimensional particle with anisotropic diffusion, mortality rate and a drift velocity, in the presence of an absorbing bounda…

cond-mat.stat-mech2014★ 24 cited

Spectral order statistics of Gaussian random matrices: large deviations for trapped fermions and associated phase transitions

Isaac Pérez Castillo

We compute the full order statistics of a one-dimensional gas of fermions in a harmonic trap at zero temperature, including its large deviation tails. The problem amounts to comput…

cond-mat.stat-mech2014★ 7 cited

Phase transitions in the condition number distribution of Gaussian random matrices

Isaac Pérez Castillo, Eytan Katzav, Pierpaolo Vivo

We study the statistics of the condition number (the ratio between largest and smallest squared singular values) of Gaussian rando…