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It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
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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.
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The highest and lowest values of a function, relative to a reference axis, are known as extreme values. These include absolute maximum and absolute minimum values, which represent the highest and lowest points the function reaches across its entire domain. Within a restricted portion of the function, the highest and lowest values are referred to as local maximum and local minimum values, respectively.Periodic functions, such as sine and cosine, show extreme values at infinitely many points due...
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Gradient Echo Quantum Memory in Warm Atomic Vapor
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Extreme Decoherence and Quantum Chaos.

Zhenyu Xu1,2, Luis Pedro García-Pintos2, Aurélia Chenu3,4,5

  • 1School of Physical Science and Technology, Soochow University, Suzhou 215006, China.

Physical Review Letters
|April 24, 2019
PubMed
Summary

Quantum chaotic systems exhibit extreme decoherence, with rates scaling exponentially with particle number. This finding offers a new platform for testing spontaneous wave function collapse models.

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Area of Science:

  • Quantum Physics
  • Quantum Information Science

Background:

  • Decoherence is a fundamental process limiting quantum system evolution.
  • Understanding decoherence limits is crucial for quantum technologies and fundamental physics.

Purpose of the Study:

  • To investigate the ultimate limits of decoherence rates in dephasing processes.
  • To explore the potential of quantum chaotic systems for testing fundamental physics models.

Main Methods:

  • Analysis of decoherence rates in fluctuating chaotic quantum systems.
  • Comparison of exponential scaling in chaotic systems versus polynomial scaling in k-body interactions.
  • Investigation of implications for AdS/CFT black hole decoherence.

Main Results:

  • Chaotic quantum systems demonstrate extreme decoherence rates.
  • Decoherence rate scales exponentially with particle number, surpassing polynomial dependencies.
  • Identified quantum chaotic systems as a test bed for spontaneous wave function collapse models.

Conclusions:

  • Quantum chaotic systems provide a unique regime for studying decoherence.
  • Findings have implications for understanding black hole information paradox and quantum gravity.
  • The study highlights novel avenues for experimental verification of quantum mechanics foundations.