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Related Concept Videos

Continuous Charge Distributions01:17

Continuous Charge Distributions

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Imagine a bucket of water. It contains many molecules, of the order of 1026 molecules. Thus, although it contains discrete elements (molecules) at the microscopic level, macroscopically, it can be considered continuous. Small volume elements of water, infinitesimal compared to the bulk of the bucket's volume, still contain many molecules. Under this framework, quantized matter is approximated as continuous for practical purposes.
The electric charge can also be subjected to an analogical...
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Coulomb's Law and The Principle of Superposition01:15

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Coulomb's Law describes the force experienced by two point charges under each other's presence. But what if there are more than two charges? For example, if there is a third charge, does it experience a force that is a simple combination of the individual forces due to the first two charges? Can it be described mathematically?
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Time and frequency -Domain Interpretation of Phase-lead Control01:24

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Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
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The Quantum-Mechanical Model of an Atom02:45

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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 Uncertainty Principle04:08

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Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He...
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The work done to bring a charge through a distance r is given by the potential difference between the initial and the final position. To assemble a collection of point charges, the total work done can be expressed in terms of the product of each pair of charges divided by their separation distance, defined with respect to a suitable origin. Solving this expression gives the energy stored in a point charge distribution.
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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Controlling charge quantization with quantum fluctuations.

S Jezouin1, Z Iftikhar1, A Anthore1

  • 1Centre de Nanosciences et de Nanotechnologies (C2N), CNRS, Université Paris Sud-Université Paris-Saclay, Université Paris Diderot-Sorbonne Paris Cité, 91120 Palaiseau, France.

Nature
|August 5, 2016
PubMed
Summary
This summary is machine-generated.

Charge quantization, the fundamental principle that electric charge exists in discrete units, is fully controlled and characterized. Researchers observed its destruction by quantum fluctuations as connections strengthen, revealing new scaling laws for electron behavior in conductors.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Nanotechnology

Background:

  • Charge quantization, established by Millikan in 1909, is fundamental to electron behavior.
  • Persistence of charge quantization enables single-electron manipulation in circuits for metrology and detectors.
  • Quantum fluctuations reduce charge discreteness as conductor connection strength increases.

Purpose of the Study:

  • To achieve full quantum control and characterization of charge quantization.
  • To explore the complete evolution of charge quantization across all connection strengths, from tunneling to ballistic contacts.
  • To investigate the impact of quantum and thermal fluctuations on charge quantization.

Main Methods:

  • Utilized semiconductor-based tunable elemental conduction channels to connect a metallic island to a circuit.
  • Scanned the entire range of connection strengths, from weak (tunnel) to perfect (ballistic) contact.
  • Investigated behavior at increased temperatures to study thermal fluctuations.

Main Results:

  • Observed destruction of charge quantization by quantum fluctuations approaching the ballistic limit.
  • Quantized charge scales with the square root of electron reflection probability, a law extending beyond current theoretical regimes.
  • Thermal fluctuations cause exponential suppression of charge quantization and universal square-root scaling at higher temperatures.

Conclusions:

  • Demonstrated full quantum control and characterization of charge quantization across varying connection strengths.
  • Revealed new scaling laws for charge quantization influenced by quantum and thermal fluctuations.
  • Findings are crucial for advancing single-electron circuits, topological quantum computing, and quantum engineering of nanoelectronic devices.