Topological physics of non-Hermitian optics and photonics: a review
The notion of non-Hermitian optics and photonics rooted in quantum mechanics and
photonic systems has recently attracted considerable attention ushering in tremendous …
photonic systems has recently attracted considerable attention ushering in tremendous …
Introduction to the Pontryagin maximum principle for quantum optimal control
Optimal control theory is a powerful mathematical tool, which has known a rapid
development since the 1950s, mainly for engineering applications. More recently, it has …
development since the 1950s, mainly for engineering applications. More recently, it has …
Training Schrödinger's cat: Quantum optimal control: Strategic report on current status, visions and goals for research in Europe
It is control that turns scientific knowledge into useful technology: in physics and engineering
it provides a systematic way for driving a dynamical system from a given initial state into a …
it provides a systematic way for driving a dynamical system from a given initial state into a …
[图书][B] Introduction to quantum control and dynamics
D d'Alessandro - 2021 - taylorfrancis.com
The introduction of control theory in quantum mechanics has created a rich, new
interdisciplinary scientific field, which is producing novel insight into important theoretical …
interdisciplinary scientific field, which is producing novel insight into important theoretical …
Krotov method for optimal control of closed quantum systems
OV Morzhin, AN Pechen - Russian Mathematical Surveys, 2019 - iopscience.iop.org
The mathematics of optimal control of quantum systems is of great interest in connection with
fundamental problems of physics as well as with existing and prospective applications to …
fundamental problems of physics as well as with existing and prospective applications to …
Time minimal trajectories for a spin 1∕ 2 particle in a magnetic field
In this paper we consider the minimum time population transfer problem for the z component
of the spin of a (spin 1/2) particle, driven by a magnetic field, that is constant along the z axis …
of the spin of a (spin 1/2) particle, driven by a magnetic field, that is constant along the z axis …
Local controllability of 1D linear and nonlinear Schrödinger equations with bilinear control
K Beauchard, C Laurent - Journal de mathématiques pures et appliquées, 2010 - Elsevier
We consider a linear Schrödinger equation, on a bounded interval, with bilinear control, that
represents a quantum particle in an electric field (the control). We prove the exact …
represents a quantum particle in an electric field (the control). We prove the exact …
Controllability of the discrete-spectrum Schrödinger equation driven by an external field
We prove approximate controllability of the bilinear Schrödinger equation in the case in
which the uncontrolled Hamiltonian has discrete non-resonant spectrum. The results that are …
which the uncontrolled Hamiltonian has discrete non-resonant spectrum. The results that are …
Invariant Carnot–Caratheodory Metrics on , , , and Lens Spaces
In this paper we study the Carnot–Caratheodory metrics on SU(2)≃S^3, SO(3), and SL(2)
induced by their Cartan decomposition and by the Killing form. Besides computing explicitly …
induced by their Cartan decomposition and by the Killing form. Besides computing explicitly …
A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds
We consider a generalization of Riemannian geometry that naturally arises in the framework
of control theory. Let $ X $ and $ Y $ be two smooth vector fields on a two-dimensional …
of control theory. Let $ X $ and $ Y $ be two smooth vector fields on a two-dimensional …