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Related Concept Videos

2D NMR: Heteronuclear Single-Quantum Correlation Spectroscopy (HSQC)01:19

2D NMR: Heteronuclear Single-Quantum Correlation Spectroscopy (HSQC)

Heteronuclear single-quantum correlation spectroscopy (HSQC) is a 2D NMR technique that reveals one-bond correlations between hydrogen and a heteronucleus. The HSQC experiment is similar to the heteronuclear correlation experiment (HETCOR) but is more sensitive. In the HSQC spectrum, the proton chemical shift is plotted on the horizontal F2 axis, while the 13C chemical shift is plotted on the vertical F1 axis. The corresponding proton and 13C spectra are also shown. The HSQC contour plot does...
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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra. Schrödinger...
NMR Spectroscopy: Spin–Spin Coupling01:08

NMR Spectroscopy: Spin–Spin Coupling

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 in...
2D NMR: Overview of Heteronuclear Correlation Techniques01:18

2D NMR: Overview of Heteronuclear Correlation Techniques

Heteronuclear correlation spectroscopy is an analytical technique that investigates the coupling between different types of nuclei, often a proton and an X-nucleus, such as carbon-13 or nitrogen-15. This method is commonly used in nuclear magnetic resonance (NMR) spectroscopy to gain insights into complex chemical compounds' structural and compositional aspects. A typical heteronuclear correlation spectrum displays X-nucleus chemical shifts on one axis and a proton spectrum on the other axis.
Quantum Numbers02:43

Quantum Numbers

It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
¹H NMR: Long-Range Coupling01:27

¹H NMR: Long-Range Coupling

The coupling interactions of nuclei across four or more bonds are usually weak, with J values less than 1 Hz. While these are usually not observed in spectra, the presence of multiple bonds along the coupling pathway can result in observable long-range coupling.
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene π orbitals.

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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Control of quantum transverse correlations on a four-photon system.

P-L de Assis1, M A D Carvalho, L P Berruezo

  • 1Departamento de Física, Universidade Federal de Minas Gerais, Caixa Postal 702, 30123-980, Belo Horizonte, Brazil. plouis@fisica.ufmg.br

Optics Express
|March 4, 2011
PubMed
Summary

Researchers demonstrate control over quantum correlations in four-photon states, moving beyond single bi-photon experiments. This advancement in quantum imaging utilizes spatially encoded qubits to influence interference and diffraction patterns.

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Area of Science:

  • Quantum Optics
  • Quantum Information Science
  • Quantum Imaging

Background:

  • Spatial quantum correlations in bi-photons are crucial for quantum imaging.
  • Previous experiments were limited to controlling single bi-photon states using linear optics.

Purpose of the Study:

  • To demonstrate experimental control of quantum correlations in a four-photon state.
  • To explore the manipulation of entangled and separable photon pairs.
  • To investigate the influence of quantum correlations on interference and diffraction.

Main Methods:

  • Utilizing a high-efficiency parametric downconversion source.
  • Coupling the source to a double slit via a variable linear optical setup.
  • Generating spatially encoded qubits from two pairs of photons.

Main Results:

  • Achieved experimental control over quantum correlations in a four-photon state.
  • Successfully generated both entangled and separable photon pairs by adjusting experimental parameters.
  • Demonstrated the impact of these correlations on double-slit interference and diffraction phenomena.

Conclusions:

  • This work extends quantum correlation control to multi-photon systems.
  • The developed scheme offers a new pathway for advanced quantum imaging techniques.
  • The findings highlight the role of quantum correlations in shaping optical phenomena.