29 citations · 114 across the 19 of their papers we have counts for
19 papers
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…
The relativistic rotated harmonic oscillator
A. Balmaseda, D. Krejcirik, J. M. Pérez-Pardo
We introduce a relativistic version of the non-self-adjoint operator obtained by a dilation analytic transformation of the quantum harmonic oscillator. While the spectrum is real a…
Global approximate controllability of quantum systems by form perturbations and applications
Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo
We provide sufficient conditions for the approximate controllability of infinite-dimensional quantum control systems corresponding to form perturbations of the drift Hamiltonian mo…
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…
316
Fedele Lizzi
A room, a teacher and many friends.
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…
On global approximate controllability of a quantum particle in a box by moving walls
Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo
We study a system composed of a free quantum particle trapped in a box whose walls can change their position. We prove the global approximate controllability of the system. That is…
On the Schrödinger Equation for Time-Dependent Hamiltonians with a Constant Form Domain
Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo
We study two seminal approaches, developed by B. Simon and J. Kisyński, to the well-posedness of the Schrödinger equation with a time-dependent Hamiltonian. In both cases the Hamil…
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…
Representation of non-semibounded quadratic forms and orthogonal additivity
Alberto Ibort, José G. Llavona, Fernando Lledó +1
A representation theorem for non-semibounded Hermitian quadratic forms in terms of a (non-semibounded) self-adjoint operator is proven. The main assumptions are closability of the…
Generalised Potential Functions in Differential Geometry and Information Geometry
Florio M. Ciaglia, Giuseppe Marmo, Juan Manuel Pérez-Pardo
Potential functions can be used as generating potentials of relevant geometric structures for a Riemannian manifold such as the Riemannian metric and affine connections. We study w…
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…
A Hodge - De Rham Dirac operator on the quantum
Fabio Di Cosmo, Giuseppe Marmo, Juan Manuel Pérez-Pardo +1
We describe how it is possible to describe irreducible actions of the Hodge - de Rham Dirac operator upon the exterior algebra over the quantum spheres equipped wit…
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…
Time, classical and quantum
Paolo Aniello, Florio Maria Ciaglia, Fabio Di Cosmo +2
We propose a new point of view regarding the problem of time in quantum mechanics, based on the idea of replacing the usual time operator with a suitable real-valued f…
Boundary dynamics and topology change in quantum mechanics
J. M. Pérez-Pardo, M. Barbero-Liñán, A. Ibort
We show how to use boundary conditions to drive the evolution on a Quantum Mechanical system. We will see how this problem can be expressed in terms of a time-dependent Schrödinger…
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…
Self-adjoint extensions of the Laplace-Beltrami operator and unitaries at the boundary
Alberto Ibort, Fernando LLedó, Juan Manuel Pérez-Pardo
We construct in this article a class of closed semi-bounded quadratic forms on the space of square integrable functions over a smooth Riemannian manifold with smooth boundary. Each…
Quantum Control and Representation Theory
A. Ibort, J. M. Pérez-Pardo
A new notion of controllability for quantum systems that takes advantage of the linear superposition of quantum states is introduced. We call such notion von Neumann controllabilty…