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Related Experiment Videos

Quantizing Ulam's control conjecture.

M Gruebele1, P G Wolynes

  • 1Department of Chemistry, Department of Physics, and Center for Biophysics and Computational Biology, University of Illinois, Urbana, Illinois 61801, USA.

Physical Review Letters
|October 13, 2007
PubMed
Summary
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Quantum systems can be controlled using weak fields, but the time required depends on system size and energy flow. Control range scales with expended photons, especially in quantum localized dynamics.

Area of Science:

  • Quantum mechanics
  • Quantum control theory
  • Chaos theory

Background:

  • Classical chaotic systems exhibit sensitivity to initial conditions.
  • Quantum systems possess unique dynamics influenced by control fields.
  • Understanding quantum state transfer is crucial for quantum technologies.

Purpose of the Study:

  • To investigate the possibility of controlling quantum systems using weak fields.
  • To establish fundamental limits on population transfer time in quantum systems.
  • To explore the relationship between control field strength, system properties, and transfer efficiency.

Main Methods:

  • Development of a scaling theory for quantum population transfer.
  • Analysis of control field influence on quantum state space.

Related Experiment Videos

  • Examination of energy flow dynamics within quantum systems.

    • Main Results:

    • Weak control fields can drive quantum systems between states.
    • Population transfer time is fundamentally limited by system size and energy flow.
    • Control efficacy is enhanced in quantum localized systems.
    • Achievable state space distance scales linearly with photon expenditure in localized systems.

    Conclusions:

    • Quantum systems, analogous to classical chaotic ones, can be steered with weak fields.
    • The efficiency of quantum control is constrained by system-specific parameters.
    • Photon expenditure is a key factor in determining the extent of quantum state control.