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Quantum Numbers02:43

Quantum Numbers

49.4K
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.
49.4K
Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

11.4K
The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
Imagine taking a large number of identical...
11.4K
Hyperbolic and Inverse Hyperbolic Functions: Problem Solving01:30

Hyperbolic and Inverse Hyperbolic Functions: Problem Solving

106
An arched gate can be effectively modeled using a hyperbolic cosine profile because this type of function is smooth and symmetric about the vertical axis. When the arch is centered at the origin, its maximum height occurs at the center point. This symmetry ensures that any height below the crown of the arch is reached at two horizontal positions that are equal in distance from the centerline but lie on opposite sides.To determine where the gate reaches a height of five meters, the height of the...
106
Trends in Lattice Energy: Ion Size and Charge02:54

Trends in Lattice Energy: Ion Size and Charge

26.6K
An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
26.6K
Hyperbolic Functions01:25

Hyperbolic Functions

55
A flexible cable suspended between two points at the same height naturally forms a curve known as a catenary. This shape results from the balance between the cable’s weight and the tension acting along its length, representing a state of mechanical equilibrium. Unlike simpler approximations, the true shape of a hanging cable is described using hyperbolic functions.Hyperbolic functions are closely related to exponential functions and are named for their connection to the geometry of the...
55
Bewley Lattice Diagram01:12

Bewley Lattice Diagram

1.5K
The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.
1.5K

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Updated: Jan 22, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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回路量子電動学のハイパーボリック格子

Alicia J Kollár1,2,3, Mattias Fitzpatrick4, Andrew A Houck4

  • 1Department of Electrical Engineering, Princeton University, Princeton, NJ, USA. akollar@umd.edu.

Nature
|July 5, 2019
PubMed
まとめ

超伝導回路は量子シミュレーションのための 新しいハイパーボリック格子を作り出します これらの人工素材は 独特の平らな帯状を示し チップ上で曲線空間物理学を 研究する道を開きます

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Trapping of Micro Particles in Nanoplasmonic Optical Lattice
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科学分野:

  • 量子物理学
  • 凝縮物質物理学
  • 量子情報科学

背景:

  • 超伝導回路を備えた量子力学は量子計算とシミュレーションのための主要なプラットフォームです.
  • コプラナー波導体共振器の格子は,マイクロ波光子のための人工材料として機能します.

研究 の 目的:

  • 超伝導回路における 変形可能な格子領域の可能性を 探求するためです
  • 量子シミュレーションのための 超ボリック幾何学を表現する人工的材料を作る

主な方法:

  • コプラナー波導体共振器ネットワークの変形可能な格子サイトを使用する.
  • ハイパーボリックカゴメ網類の数値シミュレーション
  • ハイパーボリック・グリッドの実証実験

主要な成果:

  • 超伝導回路の実証 効果的ハイパーボリック空間における格子を作る
  • スペクトル的に隔離された平面帯を持つ状態の異常な密度の観測.
  • ハイパーボリック・レーツの概念の実験的検証

結論:

  • 超伝導回路はハイパーボリック格子を実現するためのユニークなプラットフォームを提供します.
  • このハイパーボリック・グリッドは 曲線空間における物質と粒子の オン・チップ・シミュレーションを可能にします
  • エンジニアリング量子システムにおける 基本的な物理学の探索のための 新しい道を開く.