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Generator voltage control is crucial for maintaining the stable operation of synchronous generators and wind turbines. In older models, a DC generator driven by the rotor delivers DC power to the rotor's field winding, and the power is transferred through slip rings and brushes. In the latest models, static or brushless exciters are used. Static exciters rectify AC power from the generator terminals and then transfer the DC power directly to the rotor. Brushless exciters, on the other hand,...
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Updated: Jul 23, 2025

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

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Critical state generators from perturbed flatbands.

S Lee1,2, S Flach1,2, Alexei Andreanov1,2

  • 1Center for Theoretical Physics of Complex Systems, Institute for Basic Science (IBS), Daejeon 34126, Republic of Korea.

Chaos (Woodbury, N.Y.)
|July 11, 2023
PubMed
Summary
This summary is machine-generated.

Researchers explored quasiperiodic perturbations in one-dimensional all-bands-flat lattices. They discovered critical-to-insulator transitions and fractality edges, revealing how these flat band models behave under perturbation.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Materials Science

Background:

  • One-dimensional all-bands-flat lattices feature flat and degenerate energy bands.
  • These lattices are diagonalizable via local unitary transformations.
  • Previous work showed quasiperiodic perturbations induce critical-to-insulator transitions and fractality edges in specific models.

Purpose of the Study:

  • Generalize findings on quasiperiodic perturbations to the entire manifold of all-bands-flat models.
  • Investigate the impact of quasiperiodic perturbations across this manifold.
  • Characterize the resulting critical phenomena and localization properties.

Main Methods:

  • Derivation of an effective Hamiltonian for weak quasiperiodic perturbations.
  • Analysis of the mapping of effective models to extended or off-diagonal Harper models.
  • Study of spectral properties and transitions under varying perturbation strengths.

Main Results:

  • Identification of manifold parameters leading to critical states via extended Harper models.
  • Observation of localized spectra for other parameter values.
  • Emergence of energy-dependent fractality edges (perturbation-independent) in the extended Harper model.
  • Tunable critical-to-insulator transitions at finite disorder for the off-diagonal Harper model.

Conclusions:

  • Quasiperiodic perturbations on all-bands-flat lattices lead to diverse critical behaviors and localization.
  • Fractality edges are a robust feature, independent of perturbation strength in certain regimes.
  • The study provides a comprehensive understanding of critical phenomena in a broad class of flat band systems.