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This study demonstrates controlling quantum chaotic systems by applying tailored perturbations to guide wave packets to a target state. The method

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Area of Science:

  • Quantum chaos
  • Dynamical systems theory
  • Semiclassical physics

Background:

  • Classical chaotic dynamical systems exhibit extreme sensitivity to initial conditions.
  • Controlling these systems, known as targeting, involves weak perturbations to reach a desired state.
  • Extending targeting to quantum systems presents challenges due to wave packet spreading.

Purpose of the Study:

  • To generalize the concept of targeting to chaotic quantum systems in the semiclassical regime.
  • To develop a method using tailored perturbations to counteract quantum state spreading.
  • To investigate the accuracy and applicability of the proposed targeting method.

Main Methods:

  • Utilized a generalization of classical targeting applicable to quantum systems.
  • Employed tailored perturbations designed to undo the dynamical spreading of quantum states.
  • Applied the method to minimum uncertainty wave packets in the quantum kicked rotor model.

Main Results:

  • Demonstrated the feasibility of targeting in chaotic quantum systems within the semiclassical limit.
  • Showcased the effectiveness of tailored perturbations in controlling wave packet evolution.
  • Established that the method's error diminishes to zero as the scaled Planck constant (ℏ) approaches zero.

Conclusions:

  • Targeting chaotic quantum systems is achievable using carefully designed perturbations.
  • The developed method offers a pathway to control quantum dynamics in chaotic regimes.
  • The accuracy of quantum targeting improves significantly in the semiclassical limit.