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Related Concept Videos

Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

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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 Relaxation Processes01:23

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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.
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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: Three-Bond Coupling (Vicinal Coupling)01:22

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Vicinal or three-bond coupling is commonly observed between protons attached to adjacent carbons. Here, nuclear spin information is primarily transferred via electron spin interactions between adjacent C‑H bond orbitals. This generally favors the antiparallel arrangement of spins, so 3J values are usually positive.
The extent of coupling depends on the C‑C bond length, the two H‑C‑C angles, any electron-withdrawing substituents, and the dihedral angle between the...
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Atomic Nuclei: Nuclear Spin State Overview01:03

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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...
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Researchers created long-range spin order in one-dimensional systems using a trapped-ion quantum simulator. This breakthrough enables the study of quantum phases of matter previously inaccessible in such systems.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Quantum simulation

Background:

  • One-dimensional systems with continuous symmetry typically require long-range interactions for true long-range order.
  • Short-range interactions in most physical systems limit the emergence of these quantum phases in one dimension.

Purpose of the Study:

  • To experimentally realize and study quantum phases with long-range order in a one-dimensional system.
  • To investigate the role of interaction range in stabilizing quantum phases.
  • To explore the out-of-equilibrium dynamics of these systems.

Main Methods:

  • Utilized a one-dimensional trapped-ion quantum simulator.
  • Employed simultaneous control of multiple focused laser beams for precise interaction engineering.
  • Prepared states exhibiting spin order over system sizes up to 23 spins.

Main Results:

  • Successfully prepared states with long-range spin order characteristic of a continuous symmetry-breaking phase.
  • Observed a disordered phase with frustrated correlations.
  • Studied the influence of varying interaction ranges on emergent phases.

Conclusions:

  • Demonstrated the feasibility of creating long-range quantum order in one-dimensional systems via engineered interactions.
  • Opened new avenues for exploring novel quantum phases and non-equilibrium dynamics in low dimensions.