144 citations · 650 across the 46 of their papers we have counts for
46 papers
Hawking-Page transition on a spin chain
David Pérez-García, Leonardo Santilli, Miguel Tierz
The accessibility of the Hawking-Page transition in AdS through a 1d Heisenberg spin chain is demonstrated. We use the random matrix formulation of the Loschmidt echo for a set…
Landau-Zener transition rates of superconducting qubits and absorption spectrum in quantum dots
Jorge G. Russo, Miguel Tierz
New exact formulas are derived for systems involving Landau-Zener transition rates and for absorption spectra in quantum dots. These rectify previous inaccurate approximations util…
Dynamical quantum phase transitions from random matrix theory
David Pérez-García, Leonardo Santilli, Miguel Tierz
We uncover a novel dynamical quantum phase transition, using random matrix theory and its associated notion of planar limit. We study it for the isotropic XY Heisenberg spin chain.…
Crystal bases and three-dimensional Coulomb branches
Leonardo Santilli, Miguel Tierz
We establish and develop a correspondence between certain crystal bases (Kashiwara crystals) and the Coulomb branch of three-dimensional gauge theories. The resu…
Schur expansion of random-matrix reproducing kernels
Leonardo Santilli, Miguel Tierz
We give expansions of reproducing kernels of the Christoffel-Darboux type in terms of Schur polynomials. For this, we use evaluations of averages of characteristic polynomials and…
Multiple phases and meromorphic deformations of unitary matrix models
Leonardo Santilli, Miguel Tierz
We study a unitary matrix model with Gross-Witten-Wadia weight function and determinant insertions. After some exact evaluations, we characterize the intricate phase diagram. There…