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Scarring in open quantum systems.

Diego Wisniacki1, Gabriel G Carlo

  • 1Departamento de Física, FCEyN, UBA, Pabellón 1 Ciudad Universitaria, C1428EGA Buenos Aires, Argentina.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 4, 2008
PubMed
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We found that quantum scarring in open quantum systems localizes around unstable periodic orbits, similar to closed systems. This phenomenon persists even when the system is open, as shown in the cat map model.

Area of Science:

  • Quantum physics
  • Quantum chaos
  • Complex systems

Background:

  • Scarring phenomena in quantum mechanics describe the localization of eigenfunctions around unstable classical periodic orbits.
  • Understanding these phenomena in open quantum systems is crucial for their practical applications.

Purpose of the Study:

  • To investigate quantum scarring in open quantum systems.
  • To determine if scarring persists in open systems and how it relates to classical periodic orbits.

Main Methods:

  • Numerical simulations were employed to study the behavior of resonance eigenstates in an open quantum system.
  • The cat map, a paradigmatic model of quantum chaos, was used for the investigation.

Main Results:

Related Experiment Videos

  • Numerical evidence demonstrates that individual resonance eigenstates in open quantum systems exhibit localization around unstable short periodic orbits.
  • This localization pattern is analogous to that observed in closed quantum systems.
  • The structure of eigenfunctions around these classical objects remains intact despite the system being open.

    • Conclusions:

    • Quantum scarring is a robust phenomenon that is not destroyed by opening a quantum system.
    • The findings suggest that classical periodic orbits play a significant role in the quantum behavior of open systems, similar to closed systems.