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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Published on: June 8, 2018

Localization of resonance eigenfunctions on quantum repellers.

Leonardo Ermann1, Gabriel G Carlo, Marcos Saraceno

  • 1Departamento de Física, CNEA, Libertador 8250, (C1429BNP) Buenos Aires, Argentina.

Physical Review Letters
|October 2, 2009
PubMed
Summary
This summary is machine-generated.

We developed a new phase space representation for open quantum systems. This method reveals how eigenstates scar along classical repeller orbits, aiding in understanding quantum system dynamics.

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Area of Science:

  • Quantum Mechanics
  • Statistical Physics

Background:

  • Open quantum systems present challenges in understanding eigenstate structure.
  • Characterizing the morphology of eigenstates is crucial for quantum dynamics.

Purpose of the Study:

  • Introduce a novel phase space representation for open quantum systems.
  • Analyze the scarring of eigenstates along classical periodic orbits.
  • Quantify eigenstate localization using antiunitary symmetry.

Main Methods:

  • Developed a new phase space representation.
  • Applied the representation to the baker map model (two versions).
  • Utilized an antiunitary symmetry measure for localization quantification.

Main Results:

  • Identified strong scarring of long-lived resonances along shortest periodic orbits of the classical repeller.
  • Analyzed the distinct shapes of short-lived eigenstates.
  • Quantified eigenstate localization on the repeller.

Conclusions:

  • The new phase space representation is a powerful tool for studying eigenstate morphology in open quantum systems.
  • Resonances exhibit scarring along specific classical orbits.
  • Quantifiable localization of eigenstates on the repeller is achievable.