29 citations · 114 across the 19 of their papers we have counts for
7 papers · 1 filter
Rotating-wave approximation for spin-boson models with structured fields
Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo
We derive state-dependent bounds on the difference between two quantum evolutions generated by unbounded Hamiltonians sharing a common form domain. The main technical tool is a sec…
On a sharper bound on the stability of non-autonomous Schrödinger equations and applications to quantum control
Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo
We study the stability of the Schrödinger equation generated by time-dependent Hamiltonians with constant form domain. That is, we bound the difference between solutions of the Sch…
On Uhlmann's proof of the Monotonicity of the Relative Entropy
Juan Manuel Pérez-Pardo
This article presents in a self-contained way A. Uhlmann's celebrated Theorem of monotonicity of the relative entropy under completely positive and trace preserving maps. The Theor…
Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions
Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo
We investigate the controllability of an infinite-dimensional quantum system: a quantum particle confined on a Thick Quantum Graph, a generalisation of Quantum Graphs whose edges a…
Dirac-like operators on the Hilbert space of differential forms on manifolds with boundaries
J. M. Pérez-Pardo
The problem of self-adjoint extensions of Dirac-type operators in manifolds with boundaries is analysed. The boundaries might be regular or non-regular. The latter situation includ…
Hamilton-Jacobi approach to Potential Functions in Information Geometry
Florio M. Ciaglia, Fabio Di Cosmo, Domenico Felice +3
The search for a potential function allowing to reconstruct a given metric tensor and a given symmetric covariant tensor on a manifold is formulated as th…
On the Theory of Self-Adjoint Extensions of the Laplace-Beltrami Operator, Quadratic Forms and Symmetry
Juan Manuel Pérez-Pardo
The main objective of this dissertation is to analyse thoroughly the construction of self-adjoint extensions of the Laplace-Beltrami operator defined on a compact Riemannian manifo…