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Related Concept Videos

Double Resonance Techniques: Overview01:12

Double Resonance Techniques: Overview

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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...
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Atomic Nuclei: Magnetic Resonance01:05

Atomic Nuclei: Magnetic Resonance

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The number of nuclear spins aligned in the lower energy state is slightly greater than those in the higher energy state. In the presence of an external magnetic field, as the spins precess at the Larmor frequency, the excess population results in a net magnetization oriented along the z axis. When a pulse or a short burst of radio waves at the Larmor frequency is applied along the x axis, the coupling of frequencies causes resonance and flips the nuclear spins of the excess population from the...
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NMR Spectrometers: Radiofrequency Pulses and Pulse Sequences01:17

NMR Spectrometers: Radiofrequency Pulses and Pulse Sequences

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A pulse is a short burst of radio waves distributed over a range of frequencies that simultaneously excites all the nuclei in the sample. Upon passing a radio frequency pulse along the x-axis, the nuclei absorb energy corresponding to their Larmor frequencies and achieve resonance. This shifts the net magnetization vector from the z-axis toward the transverse plane. This angle of rotation of the magnetization vector, or the flip angle, is proportional to the duration and intensity of the pulse.
1.8K
Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

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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.
1.3K
Atomic Nuclei: Nuclear Spin State Population Distribution01:14

Atomic Nuclei: Nuclear Spin State Population Distribution

2.4K
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.
2.4K
NMR Spectroscopy: Spin–Spin Coupling01:08

NMR Spectroscopy: Spin–Spin Coupling

3.3K
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...
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Phase Transitions in Electron Spin Resonance Under Continuous Microwave Driving.

A Karabanov1, D C Rose1, W Köckenberger1

  • 1School of Physics and Astronomy, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom and Centre for the Mathematics and Theoretical Physics of Quantum Non-equilibrium Systems, University of Nottingham, Nottingham NG7 2RD, United Kingdom.

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We explore how microwave irradiation and dissipation create polarized electron states. Our findings reveal phase transitions and collective phenomena in paramagnetic systems, offering new insights into low-temperature physics.

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Area of Science:

  • Quantum Many-Body Physics
  • Condensed Matter Physics
  • Non-equilibrium Quantum Dynamics

Background:

  • Studying strongly coupled electrons under microwave irradiation is crucial for creating highly polarized nonequilibrium states.
  • Nuclear Magnetic Resonance (NMR) applications require understanding these complex quantum states.

Purpose of the Study:

  • To analyze the stationary states of strongly coupled electrons interacting with a dissipative environment.
  • To identify steady-state phase transitions between high and low polarization phases.
  • To explore collective phenomena in paramagnetic systems at low temperatures.

Main Methods:

  • Utilizing a Lindblad master equation framework to describe system dynamics.
  • Employing mean-field approximation for analyzing stationary states.
  • Comparing mean-field predictions with numerically exact simulations.

Main Results:

  • Identified steady-state phase transitions controlled by disordered electronic interactions.
  • Observed good agreement between mean-field theory and exact simulations.
  • Demonstrated the potential for collective phenomena like metastable states and critical behavior.

Conclusions:

  • Paramagnetic systems can exhibit collective phenomena, including phase transitions, under specific conditions.
  • The study provides a theoretical framework for understanding non-equilibrium quantum states.
  • Findings are relevant for creating highly polarized states in systems not accessible by conventional methods.