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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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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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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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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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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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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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Gradient Echo Quantum Memory in Warm Atomic Vapor
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Tunable atomic spin-orbit coupling synthesized with a modulating gradient magnetic field.

Xinyu Luo1, Lingna Wu1, Jiyao Chen1

  • 1State Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing 100084, China.

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Researchers synthesized spin-orbit coupling (SOC) in ultracold rubidium-87 atoms using a gradient magnetic field. This novel method avoids spontaneous emission and allows tunable SOC for studying many-body physics.

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Area of Science:

  • Atomic physics
  • Quantum mechanics
  • Condensed matter physics

Background:

  • Spin-orbit coupling (SOC) is crucial for understanding electron behavior in materials.
  • Previous experiments synthesized one-dimensional (1D) SOC using Raman laser fields, which can induce atomic spontaneous emission.
  • Synthesizing tunable SOC in ultracold atoms offers a controlled environment for exploring quantum phenomena.

Purpose of the Study:

  • To demonstrate a new method for synthesizing spin-orbit coupling (SOC) in ultracold spin-1 rubidium-87 atoms.
  • To investigate the effects of tunable SOC on atomic condensates.
  • To provide an alternative approach for studying interacting many-body systems with SOC.

Main Methods:

  • Utilized a gradient magnetic field (GMF) and ground-state atoms to synthesize SOC, avoiding spontaneous emission.
  • Tuned the strength of SOC by adjusting the modulation amplitude of the GMF.
  • Observed SOC effects through collective dipole oscillations and minimum energy state studies in an atomic condensate.

Main Results:

  • Successfully synthesized tunable spin-orbit coupling in ultracold spin-1 rubidium-87 atoms.
  • Confirmed the effects of SOC by observing atomic condensate dynamics and energy states.
  • Maintained good condensate coherence even when driven by modulated GMFs.

Conclusions:

  • The GMF-based scheme provides a robust and tunable method for synthesizing SOC in ultracold atoms.
  • This technique offers an alternative pathway for investigating quantum many-body systems with engineered SOC.
  • The method's immunity to spontaneous emission enhances its applicability in precision quantum studies.