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Related Concept Videos

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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Salts with Acidic Ions
Salts are ionic compounds composed of cations and anions, either of which may be capable of undergoing an acid or base ionization reaction with water. Aqueous salt solutions, therefore, may be acidic, basic, or neutral, depending on the relative acid-base strengths of the salt’s constituent ions. For example, dissolving the ammonium chloride in water results in its dissociation, as described by the equation:
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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 movement of ions like sodium, potassium, and calcium into and out of the cell is essential to maintain the electrochemical gradient in living cells. The ion channels—a class of membrane transport proteins—help maintain this ionic gradient for the smooth functioning of physiological activities such as maintaining cell size and volume, conducting nerve impulses, and gas and nutrient exchange.
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Common Ion Effect

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Compared with pure water, the solubility of an ionic compound is less in aqueous solutions containing a common ion (one also produced by dissolution of the ionic compound). This is an example of a phenomenon known as the common ion effect, which is a consequence of the law of mass action that may be explained using Le Châtelier’s principle. Consider the dissolution of silver iodide:
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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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Ion-Based Quantum Sensor for Optical Cavity Photon Numbers.

Moonjoo Lee1, Konstantin Friebe1, Dario A Fioretto1

  • 1Institut für Experimentalphysik, Universität Innsbruck, Technikerstraße 25, 6020 Innsbruck, Austria.

Physical Review Letters
|May 4, 2019
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Summary
This summary is machine-generated.

We developed a nondestructive method using a trapped ion and optical cavity to measure photon distribution. This technique accurately reconstructs cavity states, crucial for quantum information processing.

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Area of Science:

  • Quantum Optics
  • Atomic Physics
  • Quantum Information Science

Background:

  • Characterizing quantum states in optical cavities is essential for quantum technologies.
  • Nondestructive measurement techniques are highly desirable for preserving quantum information.

Purpose of the Study:

  • To develop and demonstrate a nondestructive method for extracting cavity photon-number distributions.
  • To utilize a single trapped ion coupled to an optical cavity for quantum state characterization.

Main Methods:

  • Dispersive coupling of a single trapped ion to an optical cavity.
  • Measurement of photon-number-dependent ac Stark shift using Ramsey spectroscopy.
  • Calibration of ion-cavity interaction strength.

Main Results:

  • Successfully reconstructed cavity photon-number distributions for coherent and mixed thermal-coherent states.
  • Achieved high fidelity (above 99% overlap) with calibrated quantum states.
  • Demonstrated the nondestructive nature of the measurement technique.

Conclusions:

  • The developed ion-cavity system provides a powerful tool for nondestructive characterization of quantum states.
  • This method offers high accuracy in determining photon-number distributions, vital for quantum metrology and information processing.