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Related Concept Videos

Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

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...
Atomic Nuclei: Nuclear Spin State Population Distribution01:14

Atomic Nuclei: Nuclear Spin State Population Distribution

Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis. This...
Valence Bond Theory02:42

Valence Bond Theory

Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)

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 Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

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 have a...

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Related Experiment Video

Updated: May 10, 2026

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
11:21

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Published on: March 30, 2017

Engineering spin waves in a high-spin ultracold Fermi gas.

J Heinze1, J S Krauser, N Fläschner

  • 1Institut für Laser-Physik, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany.

Physical Review Letters
|July 9, 2013
PubMed
Summary

Researchers studied multicomponent spin waves in a high-spin Fermi gas, revealing novel tensorial properties and controlling spin currents. This work advances understanding of quantum spin dynamics.

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Last Updated: May 10, 2026

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Ultracold atomic gases

Background:

  • Spin waves are fundamental excitations in magnetic systems.
  • High-spin systems (s > 1/2) offer richer physics than conventional spin-1/2 systems due to tensorial degrees of freedom.
  • Understanding multicomponent spin waves is crucial for developing novel quantum technologies.

Purpose of the Study:

  • To investigate the detailed properties of multicomponent spin waves in an s=3/2 Fermi gas.
  • To explore the excitations of a spin-nematic state, particularly its tensorial character.
  • To demonstrate control over spin-wave characteristics and counterflow spin currents by tuning the initial state.

Main Methods:

  • Experimental study of multicomponent spin waves in an s=3/2 Fermi gas.
  • Investigation across linear and nonlinear excitation regimes.
  • Comparison with theoretical predictions from numerical and analytical models.

Main Results:

  • Observed novel tensorial degrees of freedom arising from the high spin (s=3/2) in the Fermi gas.
  • Characterized the spin-nematic state excitations, highlighting the pronounced tensorial nature.
  • Successfully engineered the tensorial spin-wave character to control the magnitude and sign of counterflow spin currents.

Conclusions:

  • The study confirms the significant role of tensorial degrees of freedom in high-spin Fermi gases.
  • Experimental findings show good agreement with theoretical calculations, validating the models used.
  • The ability to engineer spin-wave properties opens avenues for controlling quantum spin dynamics.