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The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra. Schrödinger...
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Measurement of Coherence Decay in GaMnAs Using Femtosecond Four-wave Mixing
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Published on: December 3, 2013

Witnessing Quantum Coherence: from solid-state to biological systems.

Che-Ming Li1, Neill Lambert, Yueh-Nan Chen

  • 1Department of Engineering Science, National Cheng Kung University, Tainan 701, Taiwan. cmli@mail.ncku.edu.tw

Scientific Reports
|November 28, 2012
PubMed
Summary

Researchers developed novel quantum witnesses to efficiently detect quantum coherence and dynamics. These indicators offer a more robust and precise method for verifying quantumness in complex systems, reducing experimental challenges.

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Area of Science:

  • Quantum physics
  • Quantum information science

Background:

  • Quantum coherence is a key non-classical feature of quantum systems.
  • Detecting quantumness in complex systems is experimentally challenging, often requiring invasive measurements or full quantum tomography.
  • Existing methods like the Leggett-Garg inequality (LGI) face limitations in feasibility and efficiency.

Purpose of the Study:

  • To introduce efficient and robust "quantum witnesses" for verifying quantum coherence and dynamics.
  • To provide a method that avoids the experimental burden of non-invasive measurements or tomographic processes.
  • To enhance the detection resolution for quantum dynamics in the time domain.

Main Methods:

  • Development of two novel "quantum witnesses".
  • Application of quantum witnesses to physical systems, including quantum transport in nanostructures and biological organisms.
  • Comparative analysis of quantum witnesses against the Leggett-Garg inequality (LGI).

Main Results:

  • The proposed quantum witnesses efficiently verify quantum coherence and dynamics.
  • These witnesses are robust and demonstrate significantly finer resolution compared to the LGI.
  • The method bypasses the need for complex tomographic procedures or non-invasive measurements.

Conclusions:

  • Quantum witnesses offer a more practical and efficient approach to detecting quantum coherence and dynamics.
  • These indicators can significantly reduce experimental overhead in complex quantum systems.
  • The findings may accelerate the verification of quantum phenomena in diverse physical and biological applications.