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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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2D NMR: Overview of Heteronuclear Correlation Techniques01:18

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

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

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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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¹H NMR: Interpreting Distorted and Overlapping Signals01:02

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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.
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Quantum Correlation Dynamics in Controlled Two-Coupled-Qubit Systems.

Iulia Ghiu1, Roberto Grimaudo2, Tatiana Mihaescu3,4

  • 1Faculty of Physics, Centre for Advanced Quantum Physics, University of Bucharest, P.O. Box MG-11, R-077125 Bucharest-Magurele, Romania.

Entropy (Basel, Switzerland)
|December 8, 2020
PubMed
Summary
This summary is machine-generated.

This study analyzes quantum correlations in a two-qubit system, revealing how entanglement appears and disappears due to the system's dynamics. The research explains this phenomenon by linking it to the initial state's structure.

Keywords:
Werner statequantum discordsudden death of entanglement

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Theoretical Physics

Background:

  • Understanding quantum correlations is crucial for quantum information processing.
  • The Werner state is a key model for studying entanglement in multi-qubit systems.
  • Dynamical evolution of quantum states reveals complex quantum phenomena.

Purpose of the Study:

  • To investigate the time evolution of entanglement and quantum discord in a driven two-qubit system.
  • To analytically explain the mechanisms behind the appearance and disappearance of entanglement.
  • To explore the long-term quantum correlations in the system.

Main Methods:

  • Exact analytical treatment of the quantum dynamics.
  • Calculation of concurrence and quantum discord over time.
  • Analysis of the fidelity of the initial Werner state.

Main Results:

  • The study demonstrates the cyclical appearance and disappearance of entanglement.
  • The observed dynamics are directly linked to the invariant 'X' structure of the initial Werner state.
  • Asymptotic quantum correlations are characterized by the fidelity evolution.

Conclusions:

  • The dynamical invariance of the initial state's structure dictates entanglement dynamics.
  • Analytical insights provide a clear physical understanding of entanglement oscillations.
  • The research offers a framework for controlling quantum correlations in driven qubit systems.