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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Exponential spreading and singular behavior of quantum dynamics near hyperbolic points.

A Iomin1

  • 1Department of Physics, Technion, Haifa, 32000, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 18, 2013
PubMed
Summary

Quantum dynamics near hyperbolic points exhibit exponentially fast extension. Researchers analyzed the conditions and singular behavior for this rapid quantum evolution.

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Area of Science:

  • Quantum mechanics
  • Theoretical physics

Background:

  • Understanding quantum dynamics is crucial for various fields.
  • Hyperbolic points represent unique configurations in physical systems.

Purpose of the Study:

  • To investigate quantum dynamics of a particle near a hyperbolic point.
  • To analyze the singular behavior and expectation values of dynamical variables.

Main Methods:

  • Calculation of expectation values for dynamical variables.
  • Analysis of singular behavior in quantum systems.

Main Results:

  • Demonstration of exponentially fast extension of quantum dynamics.
  • Identification of conditions enabling this rapid quantum evolution.

Conclusions:

  • Quantum dynamics near hyperbolic points can exhibit extreme speed.
  • The study provides insights into the behavior of quantum systems in singular environments.