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Double Resonance Techniques: Overview

Double Resonance Techniques: Overview

Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
Spin decoupling is usually achieved by...

Atomic Nuclei: Nuclear Spin State Overview

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...

Atomic Nuclei: Nuclear Relaxation Processes

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...

NMR Spectroscopy: Spin–Spin Coupling

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...

Spin–Spin Coupling Constant: Overview

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...

Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)

Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)

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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Related Experiment Video

Updated: Jun 19, 2026

Experimental Methods for Trapping Ions Using Microfabricated Surface Ion Traps

Experimental Methods for Trapping Ions Using Microfabricated Surface Ion Traps

Published on: August 17, 2017

Entanglement and tunable spin-spin couplings between trapped ions using multiple transverse modes.

K Kim¹, M-S Chang, R Islam

¹Joint Quantum Institute: Department of Physics, University of Maryland, and National Institute of Standards and Technology, College Park, Maryland 20742, USA.

Physical Review Letters

|October 2, 2009

Summary

Researchers demonstrate tunable spin-spin couplings in trapped atomic ions using laser forces. This breakthrough enables tailored interactions for quantum computing and simulation with ytterbium ions.

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Area of Science:

Atomic, Molecular, and Optical Physics
Quantum Information Science
Condensed Matter Physics

Background:

Trapped atomic ions are promising qubits for quantum computing.
Controlling spin-spin interactions is crucial for developing quantum algorithms.
Laser-mediated forces offer a pathway to engineer qubit interactions.

Purpose of the Study:

To demonstrate tunable spin-spin couplings between trapped atomic ions.
To realize a sigma_{x}sigma_{x}-type Ising interaction for quantum information processing.
To explore the use of collective modes for novel quantum interactions.

Main Methods:

Utilizing laser forces to couple the spin states of trapped atomic ions.
Leveraging multiple transverse collective modes of ion motion.
Implementing entangling gates with two and three trapped {171}Yb{+} ions.

Main Results:

Achieved tunable spin-spin couplings mediated by laser forces.
Successfully realized a sigma_{x}sigma_{x}-type Ising interaction.
Demonstrated control over interactions in systems with two and three ions.

Conclusions:

Tunable spin-spin couplings can be engineered in trapped ions.
Closely spaced transverse modes offer a new avenue for quantum interactions.
This technique is relevant for quantum computing and simulation with large ion crystals.