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The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

62.0K
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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Quantum Numbers02:43

Quantum Numbers

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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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The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

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The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
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Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

2.3K
NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of one, the...
2.3K
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

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In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
1.7K
Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

1.6K
Coupling interactions are strongest between NMR-active nuclei bonded to each other, where spin information can be transmitted directly through the pair of bonding electrons. While nuclei polarize their electrons to the opposite spins, the bonding electron pair has opposite spins. Configurations with antiparallel nuclear spins are expected to be lower in energy. When coupling makes antiparallel states more favorable, J is considered to have a positive value. The one-bond coupling constant, 1J,...
1.6K

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Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots
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スピン量子ビットを使った量子電動学の回路.

K D Petersson1, L W McFaul, M D Schroer

  • 1Department of Physics, Princeton University, Princeton, New Jersey 08544, USA.

Nature
|October 19, 2012
PubMed
まとめ
この要約は機械生成です。

研究者はインジウムアルセニドスピン量子ビットで集積回路量子電動力学 (cQED) を開発した. これにより,スケーラブルな量子コンピューティングと探査スピンダイナミクスにとって不可欠な長距離量子ビット相互作用が可能になります.

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Silicon Metal-oxide-semiconductor Quantum Dots for Single-electron Pumping
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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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科学分野:

  • 量子コンピューティング
  • 凝縮物質物理学 凝縮物質物理学
  • 量子情報科学とは,量子情報科学である.

背景:

  • 量子ドットにおける電子のスピンは,量子プロセッサにとって有望である.
  • スケーラブルな量子コンピューティングには,近隣結合を超えた長距離量子ビット相互作用が必要です.
  • サーキット量子電動力学 (cQED) は,超伝導性空洞を介して,遠くにある量子ビット間の相互作用を容易にします.

研究 の 目的:

  • 拡張可能な量子コンピューティングのために,cQEDアーキテクチャをスピン量子ビットと組み合わせる.
  • 超導体空洞を使用してスピンクビット間の長距離相互作用を調査する.
  • シングルスピン物理学のプローブとしてcQEDの使用を実証する.

主な方法:

  • インジウムアルセニドナノワイヤのダブル量子ドットを超伝導マイクロ波腔に結合する.
  • インジウムアーセニドの強いスピン軌道相互作用を利用して,電気的なスピン回転を行う.
  • スピンダイナミクスを測定するために,電荷-空洞の相互作用を使用します.

主要な成果:

  • およそ30MHzの電荷-空洞結合率を達成しました.
  • ローカルゲート電極を使用して,スピン回転の電気制御を実証した.
  • 約1MHzの可行性のあるスピン・キャビティ・カップリング率を示した.

結論:

  • cQEDアーキテクチャは,スピン量子ビットに効果的に適応することができます.
  • このアプローチにより,単回転物理学の敏感な探査が可能になります.
  • 示されたスピン・キャビティ・カップリングは,量子プロセッサにおける長距離スピン相互作用の道を開く.