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Related Concept Videos

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Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
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NMR Spectroscopy: Spin–Spin Coupling01:08

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The spin state of an NMR-active nucleus can have a slight effect on its immediate electronic environment. This effect propagates through the intervening bonds and affects the electronic environments of NMR-active nuclei up to three bonds away; occasionally, even farther. This phenomenon is called spin–spin coupling or J-coupling. Coupling interactions are mutual and result in small changes in the absorption frequencies of both nuclei involved. While nuclei of the same element are involved...
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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.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
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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.
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...
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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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Atomic Nuclei: Nuclear Spin01:08

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All atomic particles possess an intrinsic angular momentum, or 'spin'. Electrons, protons, and neutrons each have a spin value of ½, although protons and neutrons in nuclei may have higher half-integer spins owing to energetic factors.
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Updated: Apr 11, 2026

Measurement of Coherence Decay in GaMnAs Using Femtosecond Four-wave Mixing
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Many-body interferometry with semiconductor spins.

D Jirovec1, S Reale1, P Cova Fariña1

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Summary
This summary is machine-generated.

Researchers developed a new spectroscopy method for quantum simulators using germanium quantum dots. This technique allows studying up to eight interacting spins, revealing a transition toward chaotic phases in quantum systems.

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Area of Science:

  • Quantum Simulation
  • Condensed Matter Physics
  • Quantum Computing Hardware

Background:

  • Classical hardware struggles with simulating complex many-body quantum phenomena.
  • Semiconductor quantum dots offer electrical control and scalability for quantum simulation.
  • Challenges in nanofabrication and controlling multiple interactions limit many-body studies in quantum dots.

Purpose of the Study:

  • To develop a spectroscopy protocol for studying many-body phenomena in semiconductor quantum dots.
  • To enable precise energy spectrum reconstruction of interacting spin systems.
  • To investigate the transition from localized to chaotic phases in quantum dot systems.

Main Methods:

  • Utilized a 2-×-4 array of gate-defined germanium quantum dots.
  • Employed Ramsey interferometry for spin state manipulation.
  • Applied adiabatic mapping of many-body eigenstates to single-spin eigenstates for spectrum reconstruction.

Main Results:

  • Successfully performed spectroscopy on up to eight interacting spins.
  • Observed signatures of a crossover from localization to a chaotic phase as interaction strength increased.
  • Demonstrated a complete energy spectrum reconstruction protocol.

Conclusions:

  • The developed spectroscopy method advances the study of many-body phenomena in quantum dot systems.
  • The observed phase transition is a significant step toward exploring complex quantum behaviors.
  • Germanium quantum dots show promise for scalable quantum simulation platforms.