14 citations
- University of LisbonPT22 papers
- Universidad Complutense de MadridES3 papers
- FernUniversität in HagenDE2 papers
- Instituto Superior TécnicoPT2 papers
- Iscte – Instituto Universitário de LisboaPT2 papers
- Universidade LusófonaPT2 papers
- A. Alikhanyan National LaboratoryAM1 paper
- Concordia UniversityCA1 paper
- Czech Technical University in PragueCZ1 paper
- Escola Superior Náutica Infante Dom HenriquePT1 paper
- Heriot-Watt UniversityGB1 paper
- Institució Catalana de Recerca i Estudis AvançatsES1 paper
23 papers
Borel -multitransforms and Quantum Leray-Hirsch: integral representations of solutions of quantum differential equations for -bundles
Giordano Cotti
In this paper, we address the integration problem of the isomonodromic system of quantum differential equations (s) associated with the quantum cohomology of -bun…
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.…
Impediments to diffusion in quantum graphs: geometry-based upper bounds on the spectral gap
Gregory Berkolaiko, James B. Kennedy, Pavel Kurasov +1
We derive several upper bounds on the spectral gap of the Laplacian with standard or Dirichlet vertex conditions on compact metric graphs. In particular, we obtain estimates based…
Families of non-tiling domains satisfying Pólya's conjecture
Pedro Freitas, Isabel Salavessa
We show the existence of classes of non-tiling domains satisfying Pólya's conjecture in any dimension, in both the Euclidean and non-Euclidean cases. This is a consequence of a mor…
On solutions of the Bethe Ansatz for the Quantum KdV model
Riccardo Conti, Davide Masoero
We study the Bethe Ansatz Equations for the Quantum KdV model, which are also known to be solved by the spectral determinants of a specific family of anharmonic oscillators called…
On the universality of integrable deformations of solutions of degenerate Riemann-Hilbert-Birkhoff problems
Giordano Cotti
This paper addresses the classification problem of integrable deformations of solutions of "degenerate" Riemann-Hilbert-Birkhoff (RHB) problems. These consist of those RHB problems…