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Related Concept Videos

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.
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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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Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

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

Atomic Nuclei: Nuclear Spin State Population Distribution

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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.
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Atomic Nuclei: Nuclear Magnetic Moment00:59

Atomic Nuclei: Nuclear Magnetic Moment

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All atomic nuclei are positively charged. When they have a nonzero spin, they behave like rotating charges. As a consequence of their charge and spin, these nuclei generate a magnetic field (B). This, in turn, gives rise to a magnetic moment (μ), which is randomly oriented in the absence of an external magnetic field. When an external magnetic field (B0) is applied, the magnetic moment vectors can align with the field or against it in 2 + 1 orientations. A hydrogen nucleus, which is just a...
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Paramagnetism01:30

Paramagnetism

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Paramagnets are materials with unpaired electrons that possess a finite magnetic moment. In the absence of a magnetic field, these moments are randomly oriented, and thus the net moment is zero. Under an external field, a torque acting on the moments tends to align them along the field's direction. However, the random thermal motion of electrons produces a torque opposite to the external field and tries to disorient the moments. These two competing effects align only a few moments along the...
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Paramagnetic resonance in spin-polarized disordered Bose-Einstein condensates.

V M Kovalev1,2,3, I G Savenko4,5,6

  • 1Center for Theoretical Physics of Complex Systems, Institute for Basic Science, Daejeon, 305-732, South Korea. vadimkovalev@isp.nsc.ru.

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We investigated spin-polarized Bose gas response to magnetic fields. The study reveals a narrow resonance in the Bose-condensed state due to impurity scattering, offering insights into quantum gas dynamics.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Gases
  • Spintronics

Background:

  • Disordered two-dimensional spin-polarized Bose gas systems are crucial for quantum technologies.
  • Understanding spin susceptibility is key to controlling quantum states.
  • Microcavity exciton polaritons serve as a viable experimental platform.

Purpose of the Study:

  • To analyze the pseudo-spin density response of a Bose gas to an alternating magnetic field.
  • To investigate the impact of disorder and spin-flip processes on spin susceptibility.
  • To explore the resonance structure and width in magnetic field power absorption.

Main Methods:

  • Bogoliubov theory for weakly-interacting gases.
  • Calculation of spatial and temporal dispersions of spin susceptibility.
  • Analysis of spin-flip processes and impurity scattering effects.

Main Results:

  • A double resonance structure in magnetic field power absorption was observed, corresponding to two spin states.
  • Impurity scattering affects polariton scattering in two ways: direct potential scattering and scattering from disordered condensate density.
  • The resonance width for the Bose-condensed spin state is significantly narrower than for the non-condensed state.

Conclusions:

  • The study provides a theoretical framework for understanding the magnetic response of disordered Bose gases.
  • The narrow resonance in the condensed state offers potential for sensitive spin manipulation.
  • Findings are relevant for exciton-polariton systems and future quantum devices.