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Related Concept Videos

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The mean is a measure of the central tendency of a data set. In some data sets, the data is inherently multiplicative, and the arithmetic mean is not useful. For example, the human population multiplies with time, and so does the credit amount of financial investment, as the interest compounds over successive time intervals.
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Several methods are available for the fabrication of channels of non-rectangular sections embedded in polydimethylsiloxane microfluidic devices. Most of them involve multistep manufacturing and extensive alignment. In this paper, a one-step approach is reported for fabricating microfluidic channels of different geometric cross sections by polydimethylsiloxane sequential wet...
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Updated: Jan 20, 2026

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Non-Abelian Geometric Dephasing.

Kyrylo Snizhko1, Reinhold Egger2, Yuval Gefen1

  • 1Department of Condensed Matter Physics, Weizmann Institute, 7610001 Rehovot, Israel.

Physical Review Letters
|September 7, 2019
PubMed
Summary
This summary is machine-generated.

We discovered a new dephasing effect in quantum systems, called non-Abelian geometric dephasing (NAGD). This effect can amplify or decay quantum coherences, impacting quantum computations and can be detected in experiments.

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Area of Science:

  • Quantum mechanics
  • Quantum information science
  • Condensed matter physics

Background:

  • Adiabatic dynamics of quantum states are influenced by control parameter paths.
  • Weak coupling to environmental modes introduces noise, resembling noisy trajectories.
  • Conventional dynamic dephasing is a known phenomenon affecting quantum coherence.

Purpose of the Study:

  • To investigate the adiabatic dynamics of degenerate quantum states.
  • To identify and characterize novel dephasing mechanisms beyond conventional dynamic dephasing.
  • To explore the implications of these dephasing effects on quantum coherences and their potential for experimental detection.

Main Methods:

  • Studying adiabatic dynamics induced by loop paths in control parameter space.
  • Developing a theoretical framework to express the non-Abelian geometric dephasing (NAGD) contribution.
  • Utilizing concepts of non-Abelian Berry connection and curvature.
  • Proposing interference experiments to probe the NAGD matrix structure.

Main Results:

  • Identified a universal non-Abelian geometric dephasing (NAGD) contribution.
  • Expressed NAGD in terms of non-Abelian Berry connection and curvature.
  • Demonstrated that NAGD leads to either decay or amplification of coherences compared to dynamic dephasing alone.
  • Outlined a detection scheme for NAGD in modified Majorana braiding setups.

Conclusions:

  • NAGD is a significant factor in the dynamics of quantum states, affecting coherence.
  • The NAGD matrix structure provides a detailed understanding of coherence evolution.
  • Interference experiments offer a viable pathway to observe and study NAGD, with implications for quantum technologies.