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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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Fermi Level Dynamics01:12

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The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
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Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

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Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
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Spin–Spin Coupling: One-Bond Coupling01:17

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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,...
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Spin–Spin Coupling Constant: Overview01:08

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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.
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¹H NMR: Long-Range Coupling01:27

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The coupling interactions of nuclei across four or more bonds are usually weak, with J values less than 1 Hz. While these are usually not observed in spectra, the presence of multiple bonds along the coupling pathway can result in observable long-range coupling.
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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
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Floquet Engineering the Quantum Rabi Model in the Ultrastrong Coupling Regime.

Kamran Akbari1, Franco Nori2,3,4, Stephen Hughes1

  • 1Queen's University, Department of Physics, Engineering Physics and Astronomy, Kingston, Ontario K7L 3N6, Canada.

Physical Review Letters
|February 28, 2025
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Summary
This summary is machine-generated.

We demonstrate how modulating quantum coupling can generate photons from vacuum using mechanical driving. This opens new avenues for quantum state engineering and information processing.

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Area of Science:

  • Quantum optics
  • Quantum information science
  • Condensed matter physics

Background:

  • The quantum Rabi model describes light-matter interaction in a quantized cavity.
  • Ultrastrong coupling regimes exhibit unique quantum phenomena.
  • Floquet states arise in periodically driven quantum systems.

Purpose of the Study:

  • To investigate photon generation in the quantum Rabi model under modulated ultrastrong coupling.
  • To explore the role of the quantum vacuum in this driven system.
  • To assess potential applications in quantum technologies.

Main Methods:

  • Studying the quantum Rabi model with periodic modulation of cavity-dipole coupling.
  • Analyzing the system in the ultrastrong coupling regime.
  • Investigating photon production via purely mechanical driving.

Main Results:

  • Rich Floquet states emerge due to periodic modulation.
  • Real photons can be produced by exploiting the quantum vacuum through mechanical driving.
  • Photon generation is dependent on the strength and frequency of the coupling rate.

Conclusions:

  • Periodic modulation of coupling in the ultrastrong regime enables photon generation from vacuum.
  • This method offers a novel approach for coherent manipulation of hybrid quantum systems.
  • Potential applications include quantum state engineering, quantum information processing, and studying nonequilibrium phenomena.