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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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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...
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Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

1.2K
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.
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: 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: Three-Bond Coupling (Vicinal Coupling)01:22

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1.3K
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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Spin-orbit coupling and quantum spin Hall effect for neutral atoms without spin flips.

Colin J Kennedy1, Georgios A Siviloglou1, Hirokazu Miyake1

  • 1MIT-Harvard Center for Ultracold Atoms, Research Laboratory of Electronics, Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.

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We demonstrate a novel method for achieving spin-orbit coupling and the quantum spin Hall effect in neutral atoms. This approach avoids complex laser setups, enabling new possibilities for quantum simulations.

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Area of Science:

  • Atomic, Molecular, and Optical (AMO) Physics
  • Condensed Matter Theory
  • Quantum Simulation

Background:

  • Spin-orbit coupling is crucial for understanding topological phases of matter.
  • The quantum spin Hall effect is a key phenomenon in topological insulators.
  • Implementing these effects with neutral atoms in optical lattices presents significant experimental challenges.

Purpose of the Study:

  • To propose a scheme for realizing spin-orbit coupling and the quantum spin Hall effect in neutral atoms.
  • To achieve these quantum phenomena without using near-resonant laser light for spin state coupling.
  • To explore alternative all-optical methods for creating a quantum spin Hall Hamiltonian.

Main Methods:

  • Utilizing laser recoil to impart spin-dependent momentum shifts to neutral atoms.
  • Employing Zeeman shifts from magnetic field gradients for spin selectivity.
  • Investigating an all-optical approach with a period-tripling, spin-dependent superlattice.

Main Results:

  • A scheme is proposed that successfully generates spin-orbit coupling for neutral atoms.
  • The quantum spin Hall effect can be realized using the proposed methods.
  • The methods offer alternatives to complex laser-driven spin coupling techniques.

Conclusions:

  • The proposed scheme provides an experimentally accessible route to realizing spin-orbit coupling and the quantum spin Hall effect in neutral atom systems.
  • This work opens avenues for simulating topological phases of matter using neutral atoms.
  • The developed techniques could be valuable for future quantum information processing and condensed matter studies.