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Edge switch transformation in microwave networks.

Vitalii Yunko1, Małgorzata Białous1, Leszek Sirko1

  • 1Institute of Physics, Polish Academy of Sciences, Aleja Lotników 32/46, 02-668 Warsaw, Poland.

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Summary
This summary is machine-generated.

We experimentally show that microwave networks simulating quantum graphs exhibit level-1 interlaced spectra after an edge switch operation, regardless of time-reversal symmetry. This confirms theoretical predictions for quantum systems and spectral shifts.

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Area of Science:

  • Quantum Chaos
  • Mesoscopic Physics
  • Network Theory

Background:

  • Quantum graphs are models for complex quantum systems.
  • Time-reversal symmetry (TRS) plays a crucial role in quantum mechanics.
  • Spectral properties of quantum systems reveal underlying physics.

Purpose of the Study:

  • To experimentally investigate the spectral properties of microwave networks simulating quantum graphs.
  • To examine the effect of an edge switch operation on these spectra.
  • To compare experimental results with theoretical predictions for systems with and without time-reversal symmetry.

Main Methods:

  • Experimental realization using four-vertex microwave networks.
  • Measurement of resonance spectra before and after an edge switch operation.
  • Numerical simulations for quantum graphs with violated time-reversal symmetry.
  • Analysis of spectral interlacing and spectral shift distributions.

Main Results:

  • Microwave networks with preserved time-reversal symmetry showed level-1 interlaced spectra after the edge switch, matching theoretical predictions.
  • Experimental spectral shift distributions agreed with theoretical ones.
  • Networks with partially violated time-reversal symmetry also exhibited level-1 interlaced spectra.
  • Numerical and experimental spectral shift distributions for violated time-reversal symmetry systems agreed.

Conclusions:

  • The edge switch operation consistently leads to level-1 interlaced spectra in quantum graph simulations.
  • Experimental findings support theoretical models for spectral properties in quantum systems.
  • The study validates the use of microwave networks as simulators for quantum chaotic systems.