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Atomic Nuclei: Nuclear Spin State Overview01:03

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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...
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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: Nuclear Spin State Population Distribution01:14

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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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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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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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Generating Long-Lived Macroscopically Distinct Superposition States in Atomic Ensembles.

Wei Qin1, Adam Miranowicz1,2, Hui Jing1,3

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Researchers created long-lived atomic Schrödinger cat states using quantum amplifiers. These quantum superposition states exhibit lifetimes up to 4 orders of magnitude longer than photonic states, paving the way for quantum technologies.

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Area of Science:

  • Quantum physics
  • Atomic physics
  • Quantum optics

Background:

  • Macroscopic quantum superposition states are crucial for quantum technologies.
  • Generating stable and long-lived quantum states, such as Schrödinger cat states, remains a significant challenge.

Purpose of the Study:

  • To propose and demonstrate a method for creating and stabilizing long-lived macroscopic quantum superposition states in atomic ensembles.
  • To investigate the potential of quantum amplifiers in generating atomic Schrödinger cat states.

Main Methods:

  • Utilizing a fully quantum parametric amplifier to induce simultaneous decay of two atoms.
  • Creating stabilized atomic Schrödinger cat states within an optical cavity.

Main Results:

  • Achieved stabilized atomic cat states with lifetimes up to 4 orders of magnitude longer than photonic cat states.
  • Demonstrated state lifetimes reaching tens of milliseconds, limited to seconds by minimal spin relaxation and thermal noise.
  • Showcased the creation of large-size and long-lived cat states.

Conclusions:

  • The proposed method offers a novel pathway to generate long-lived macroscopic quantum superposition states.
  • These atomic cat states have significant potential for fundamental quantum studies and the development of noise-immune quantum technologies.