Controlling Quantum Chaos: Optimal Coherent Targeting

Abstract

One of the principal goals of controlling classical chaotic dynamical systems is known as targeting, which is the very weakly perturbative process of using the system's extreme sensitivity to initial conditions in order to arrive at a predetermined target state. It is shown that a generalization to chaotic quantum systems is possible in the semiclassical regime, but requires tailored perturbations whose effects must undo the dynamical spreading of the evolving quantum state. The procedure described here is applied to initially minimum uncertainty wave packets in the quantum kicked rotor, a preeminent quantum chaotic paradigm, to illustrate the method, and investigate its accuracy. The method's error can be made to vanish as $\hslash \to 0$

7 pages, 5 figures

References in corpus (1)

• Observation of the Quantum Boomerang Effect

Cited by in corpus (5)

• Controlling Many-Body Quantum Chaos: Bose-Hubbard systems
• Counterdiabatic Route to Entanglement Steering and Dynamical Freezing in the Floquet Lipkin-Meshkov-Glick Model
• Control of the classical dynamics of a particle in the Morse-soft-Coulomb potential
• Study of double kicked top: a classical and quantum perspective
• Information acquisition, scrambling, and sensitivity to errors in quantum chaos