Classical and Quantum Controllability of a Rotating Symmetric Molecule

  title={Classical and Quantum Controllability of a Rotating Symmetric Molecule},
  author={Ugo V. Boscain and Eugenio Pozzoli and Mario Sigalotti},
  journal={SIAM J. Control. Optim.},
In this paper we study the controllability problem for a symmetric-top molecule, both for its classical and quantum rotational dynamics. The molecule is controlled through three orthogonal electric fields interacting with its electric dipole. We characterize the controllability in terms of the dipole position: when it lies along the symmetry axis of the molecule neither the classical nor the quantum dynamics are controllable, due to the presence of a conserved quantity, the third component of… Expand

Figures from this paper

Classical and quantum controllability of a rotating asymmetric molecule
We study both the classical and quantum rotational dynamics of an asymmetric top molecule, controlled through three orthogonal electric fields. Concerning the classical rotational dynamics, we proveExpand


Quantum control of molecular rotation
The angular momentum of molecules, or, equivalently, their rotation in three-dimensional space, is ideally suited for quantum control. Molecular angular momentum is naturally quantized, timeExpand
Controllability of quantum harmonic oscillators
It is proven in a previous paper that any modal approximation of the one-dimensional quantum harmonic oscillator is controllable. We prove here that, contrary to such finite-dimensionalExpand
Approximate Controllability, Exact Controllability, and Conical Eigenvalue Intersections for Quantum Mechanical Systems
We study the controllability of a closed control-affine quantum system driven by two or more external fields. We provide a sufficient condition for controllability in terms of existence of conicalExpand
Controlling several atoms in a cavity
We treat control of several two-level atoms interacting with one mode of the electromagnetic field in a cavity. This provides a useful model to study pertinent aspects of quantum control in infiniteExpand
Controllability of a quantum particle in a moving potential well
We consider a nonrelativistic charged particle in a 1D moving potential well. This quantum system is subject to a control, which is the acceleration of the well. It is represented by a wave functionExpand
A Weak Spectral Condition for the Controllability of the Bilinear Schrödinger Equation with Application to the Control of a Rotating Planar Molecule
An approximate controllability result for the bilinear Schrödinger equation is proved based on fine controllable properties of the finite dimensional Galerkin approximations and allows to get estimates for the L1 norm of the control. Expand
Multi-input Schrödinger equation: Controllability, tracking, and application to the quantum angular momentum
Abstract We present a sufficient condition for approximate controllability of the bilinear discrete-spectrum Schrodinger equation in the multi-input case. The controllability result extends toExpand
On the Controllability of Quantum Transport in an Electronic Nanostructure
It is proved that, generically with respect to the shape of the domain and boundary conditions on the gate, the MOS field-effect transistor is controllable. Expand
Modeling and Control of Quantum Systems: An Introduction
An introduction to a selection of basic theoretical aspects in the modeling and control of quantum mechanical systems, as well as a brief survey on the main approaches to control synthesis are presented. Expand
A scalable quantum computing platform using symmetric-top molecules
We propose a new scalable platform for quantum computing (QC) -- an array of optically trapped symmetric-top molecules (STMs) of the alkaline earth monomethoxide (MOCH$_3$) family. Individual STMsExpand