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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
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Extended states with Poisson spectral statistics.

Triparna Mondal1, Suchetana Sadhukhan1, Pragya Shukla1

  • 1Department of Physics, Indian Institute of Technology, Kharagpur, India.

Physical Review. E
|July 16, 2017
PubMed
Summary
This summary is machine-generated.

The spectrum of extended states in complex systems can follow Poisson statistics under specific constraints, challenging previous assumptions. This finding impacts understanding eigenfunction localization and physical properties in such systems.

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Area of Science:

  • Complex Systems Analysis
  • Statistical Physics
  • Quantum Chaos

Background:

  • Prevailing theories often assume different universality classes for extended states in complex systems.
  • Understanding eigenfunction localization is crucial for predicting system behavior.

Purpose of the Study:

  • To investigate the universality class of the spectrum for extended states in constrained complex systems.
  • To challenge the prevailing notion regarding spectral properties.

Main Methods:

  • Exact theoretical analysis of constrained chiral ensembles.
  • Numerical analysis of column constrained chiral ensembles with circulant off-diagonal blocks.

Main Results:

  • The spectrum of extended states can belong to the Poisson universality class under specific constraints.
  • Demonstrated that constraints can alter the expected spectral statistics.

Conclusions:

  • Findings necessitate a revision of current models for extended states in complex systems.
  • Results are relevant for a complete understanding of eigenfunction localization and physical properties.