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Patterning via Optical Saturable Transitions - Fabrication and Characterization
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Noise-induced phase transition in the electronic Mach-Zehnder interferometer.

Ivan P Levkivskyi1, Eugene V Sukhorukov

  • 1Département de Physique Théorique, Université de Genève, CH-1211 Genève 4, Switzerland.

Physical Review Letters
|August 8, 2009
PubMed
Summary

We studied dephasing in electronic Mach-Zehnder interferometers affected by quantum point contact noise. High noise levels surprisingly restore interference visibility, revealing a sharp transition at specific quantum point contact transparency.

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Area of Science:

  • Quantum electronics
  • Mesoscopic physics
  • Condensed matter theory

Background:

  • Electronic Mach-Zehnder interferometers are key for quantum information processing.
  • Dephasing due to current noise degrades interference visibility.
  • Quantum point contacts (QPCs) are tunable electronic components influencing noise.

Purpose of the Study:

  • Investigate dephasing effects in a Mach-Zehnder interferometer coupled to a voltage-biased QPC.
  • Analyze the influence of QPC-generated current noise on Aharonov-Bohm oscillation visibility.
  • Determine the relationship between visibility, voltage bias, and QPC transparency.

Main Methods:

  • Theoretical modeling of dephasing in the interferometer.
  • Calculation of Aharonov-Bohm oscillation visibility.
  • Utilizing the cumulant generating function of noise to characterize QPC effects.
  • Analysis of the large-bias regime and high-order current cumulants.

Main Results:

  • Visibility is suppressed by QPC noise, but this suppression depends on voltage bias.
  • High-order cumulants of current counteract the noise-induced dilution effect in the large-bias regime.
  • An abrupt change in visibility dependence occurs at QPC transparency T=1/2.
  • Quantum fluctuations near T=1/2 lead to a smeared, rather than perfectly sharp, transition.

Conclusions:

  • The interplay between QPC noise and interferometer dephasing exhibits non-trivial behavior.
  • The critical transparency T=1/2 marks a significant shift in how noise affects quantum interference.
  • Understanding these effects is crucial for designing robust quantum electronic devices.