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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 one, the...
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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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Atomic Nuclei: Nuclear Spin State Population Distribution01:14

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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 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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The probability of having two carbon-13 atoms next to each other is negligible because of the low natural abundance of carbon-13. Consequently, peak splitting due to carbon-carbon spin-spin coupling is not observed in spectra. However, protons up to three sigma bonds away split the carbon signal according to the n+1 rule, resulting in complicated spectra.
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Updated: Nov 23, 2025

Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser
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Electron cascade for distant spin readout.

Cornelis J van Diepen1, Tzu-Kan Hsiao1, Uditendu Mukhopadhyay1

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This summary is machine-generated.

Electron cascades in semiconductor quantum dots enable long-distance spin readout. This domino-like effect transmits information, paving the way for scalable quantum computation.

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Area of Science:

  • Quantum Computing
  • Semiconductor Physics
  • Quantum Information Science

Background:

  • Single electron spins in semiconductor quantum dots are promising qubits due to their control and longevity.
  • Electron charge facilitates quantum dot manipulation and sensing, crucial for probing charge configurations.

Purpose of the Study:

  • To demonstrate a novel method for reading out distant electron spins in quantum dot arrays.
  • To explore the potential of electron cascades for scalable quantum information processing.

Main Methods:

  • Inducing sequential charge transitions via Coulomb repulsion to create an electron cascade.
  • Combining electron cascades with Pauli spin blockade for spin readout.
  • Utilizing remote charge sensors in a quadruple quantum dot device.

Main Results:

  • Electron cascades transmit information over distances exceeding direct Coulomb repulsion effects.
  • Demonstrated high-fidelity spin readout potential using cascades and remote charge sensing.
  • Analyzed various cascade operating modes and their scaling behavior.

Conclusions:

  • Electron cascades offer a scalable solution for remote spin readout in quantum dot systems.
  • Application to densely-packed 2D quantum dot arrays enhances quantum computation and simulation capabilities.