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Related Concept Videos

Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

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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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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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Atomic Nuclei: Nuclear Spin State Population Distribution01:14

Atomic Nuclei: Nuclear Spin State Population Distribution

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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.
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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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Atomic Nuclei: Nuclear Magnetic Moment00:59

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All atomic nuclei are positively charged. When they have a nonzero spin, they behave like rotating charges. As a consequence of their charge and spin, these nuclei generate a magnetic field (B). This, in turn, gives rise to a magnetic moment (μ), which is randomly oriented in the absence of an external magnetic field. When an external magnetic field (B0) is applied, the magnetic moment vectors can align with the field or against it in 2 + 1 orientations. A hydrogen nucleus, which is just a...
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Atomic Nuclei: Nuclear Spin01:08

Atomic Nuclei: Nuclear Spin

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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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Area of Science:

  • Quantum physics
  • Condensed-matter physics
  • Quantum computing

Background:

  • Disordered quantum many-body models with all-to-all interactions have broad applications but lack physical realization.
  • These models are crucial in fields like spin glasses, holographic duality, and quantum annealing.

Purpose of the Study:

  • To physically realize and study all-to-all interacting, disordered quantum spin systems.
  • To explore the interplay between interactions and disorder in quantum systems.
  • To enable the design of arbitrary spin Hamiltonians via programmable cavity-mediated interactions.

Main Methods:

  • Utilized an atomic cloud within an optical cavity subjected to a controllable light shift.
  • Tuned the system between disordered central-mode and Lipkin-Meshkov-Glick models by adjusting atom-cavity detuning.
  • Employed spectroscopic probing of low-energy excitations to analyze the effects of disorder.

Main Results:

  • Observed disorder breaking collective coupling in the central-mode model, leading to 'grey' states.
  • Demonstrated the evolution of the Lipkin-Meshkov-Glick model from a ferromagnetic ground state to a paramagnetic phase with increasing disorder.
  • Identified the emergence of semi-localized eigenstates in the disordered Lipkin-Meshkov-Glick regime.

Conclusions:

  • Successfully realized a tunable, disordered all-to-all interacting spin system in a cavity.
  • Provided experimental insights into the competition between interactions and disorder in quantum many-body systems.
  • Paved the way for programmable quantum simulations and the design of novel quantum Hamiltonians.