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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...
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...
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...
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...
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...

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Related Experiment Video

Updated: Jun 12, 2026

Resonance Fluorescence of an InGaAs Quantum Dot in a Planar Cavity Using Orthogonal Excitation and Detection
12:57

Resonance Fluorescence of an InGaAs Quantum Dot in a Planar Cavity Using Orthogonal Excitation and Detection

Published on: October 13, 2017

Fast spin rotations by optically controlled geometric phases in a charge-tunable InAs quantum dot.

Erik D Kim1, Katherine Truex, Xiaodong Xu

  • 1The H. M. Randall Laboratory of Physics, The University of Michigan, Ann Arbor, Michigan 48109, USA.

Physical Review Letters
|May 21, 2010
PubMed
Summary
This summary is machine-generated.

Researchers optically controlled electron spin phase in quantum dots using cyclic excitations. This geometric phase acts as a spin phase gate, crucial for advancing quantum information applications.

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Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots
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Published on: November 1, 2013

High Resolution Phonon-assisted Quasi-resonance Fluorescence Spectroscopy
10:40

High Resolution Phonon-assisted Quasi-resonance Fluorescence Spectroscopy

Published on: June 28, 2016

Related Experiment Videos

Last Updated: Jun 12, 2026

Resonance Fluorescence of an InGaAs Quantum Dot in a Planar Cavity Using Orthogonal Excitation and Detection
12:57

Resonance Fluorescence of an InGaAs Quantum Dot in a Planar Cavity Using Orthogonal Excitation and Detection

Published on: October 13, 2017

Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots
15:47

Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots

Published on: November 1, 2013

High Resolution Phonon-assisted Quasi-resonance Fluorescence Spectroscopy
10:40

High Resolution Phonon-assisted Quasi-resonance Fluorescence Spectroscopy

Published on: June 28, 2016

Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Optoelectronics

Background:

  • Electron spins in quantum dots are fundamental for quantum computing.
  • Controlling spin states with optical methods is challenging but essential.
  • Geometric phase offers a robust way to encode quantum information.

Purpose of the Study:

  • To demonstrate optical control over the geometric phase of an electron spin in an Indium Arsenide (InAs) quantum dot.
  • To explore the potential of optically induced geometric phases as a spin phase gate for quantum information processing.

Main Methods:

  • Utilizing cyclic 2pi excitations of an optical transition in a charge-tunable InAs quantum dot.
  • Applying a constant in-plane magnetic field to influence spin dynamics.
  • Analyzing spin quantum beat signals generated by time-delayed, circularly polarized optical pulses.

Main Results:

  • Successfully demonstrated optical control of geometric phase for an electron spin state.
  • Observed that optically induced geometric phases cause effective spin rotation around the magnetic field axis.
  • Phase shifts in spin quantum beat signals confirmed the geometric phase acquisition.

Conclusions:

  • Optically controlled geometric phases can serve as a spin phase gate.
  • This technique shows promise for developing new quantum information applications.
  • The study highlights the potential of InAs quantum dots for quantum control.