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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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Materials consisting of paired electrons have zero net magnetic moments. However, when these materials are placed under an external magnetic field, the moments opposite to the field are induced. Such materials are called diamagnets. Diamagnetism is the response of the diamagnets when placed in an external magnetic field.
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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

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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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A moving charge or a current creates a magnetic field in the surrounding space, in addition to its electric field. The magnetic field exerts a force on any other moving charge or current that is present in the field. Like an electric field, the magnetic field is also a vector field. At any position, the direction of the magnetic field is defined as the direction in which the north pole of a compass needle points.
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Electrons revolving around a nucleus are analogous to a circular current carrying loop. This current produces a magnetic dipole moment proportional to the electron's orbital angular momentum. Since the orbital angular momentum is quantized in terms of the reduced Planck's constant, the dipole moment is quantized in the Bohr Magneton. The value of the Bohr magneton is 9.27 x 10-24 Am2. Electrons also have an intrinsic spin angular momentum, and the associated spin magnetic moment is...
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A self-sustaining atomic magnetometer with τ(-1) averaging property.

C Xu1,2, S G Wang1,3, Y Y Feng1,3

  • 1Joint Institute for Measurement Science (JMI), Tsinghua University, Beijing 100084, China.

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This study introduces a method to extend quantum measurement coherence indefinitely. This breakthrough enhances magnetometer precision significantly, approaching the shot noise limit.

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Area of Science:

  • Quantum Metrology
  • Atomic Physics

Background:

  • Coherent quantum measurement offers absolute measurement capabilities for metrological standards.
  • Current precision is limited by coherence time (uncertainty decreases as τ(-1/2)).

Purpose of the Study:

  • To overcome coherence time limitations in quantum measurements.
  • To enhance the precision of magnetometers and atomic clocks.

Main Methods:

  • Non-destructive phase measurement of Larmor precession.
  • Coherence regeneration using optical pumping to sustain atomic spin signals indefinitely.

Main Results:

  • Achieved indefinite persistence of self-sustaining Larmor precession signals.
  • Magnetometer precision improved following a τ(-1) rule, significantly faster than τ(-1/2).
  • Realized a mean sensitivity of 240 fT/√Hz from 1 to 10 Hz, near the shot noise limit.

Conclusions:

  • Coherence regeneration offers a pathway to surpass conventional precision limits in quantum measurements.
  • The developed method has potential applications for improving atomic clock performance.