6 citations · 24 across the 10 of their papers we have counts for
10 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…
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…
Quantum Control at the Boundary: an application to quantum circuits
Aitor Balmaseda
Approximate controllability for a quantum system on a graph using as control parameters boundary conditions will be proven. This establishes a first theoretical proof of the feasib…
On -invariant self-adjoint extensions of the Laplacian on quantum circuits
A. Balmaseda, F. Di Cosmo, J. M. Pérez-Pardo
An analysis of the invariance properties of self-adjoint extensions of symmetric operators under the action of a group of symmetries is presented. For a given group , criteria f…
Quantum Control at the Boundary
A. Balmaseda, J. M. Pérez-Pardo
We present a scheme for controlling the state of a quantum system by modifying the boundary conditions. This constitutes an infinite-dimensional control problem. We provide conditi…