Tomsovic, Steven and Urbina, Juan Diego and Richter, Klaus (2023) Controlling Quantum Chaos: Optimal Coherent Targeting. PHYSICAL REVIEW LETTERS, 130 (2): 020201. ISSN 0031-9007, 1079-7114
Full text not available from this repository. (Request a copy)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 PLANCK CONSTANT OVER TWO PI -> 0.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | LINEAR CANONICAL-TRANSFORMATIONS; SEMICLASSICAL DYNAMICS; HAMILTONIAN-SYSTEMS; SQUEEZED STATES; TRAJECTORIES; SELECTIVITY; SCHRODINGER; MECHANICS; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 10 Mar 2024 14:07 |
| Last Modified: | 10 Mar 2024 14:07 |
| URI: | https://pred.uni-regensburg.de/id/eprint/59598 |
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