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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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When protons A and X are coupled, their nuclear spin energy levels are slightly modified. This is because the energy required to excite proton A to a spin state parallel to proton X is slightly different from the energy required for it to become anti-parallel to spin X. Consequently, there are two possible excitation frequencies for A (A1 and A2), depending on the spin state of X, and vice versa. The mutual nature of coupling implies that the difference between frequencies A1 and A2, indicated...
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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 coupling interactions of nuclei across four or more bonds are usually weak, with J values less than 1 Hz. While these are usually not observed in spectra, the presence of multiple bonds along the coupling pathway can result in observable long-range coupling.
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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Nonreciprocal quantum synchronization.

Deng-Gao Lai1, Adam Miranowicz2,3, Franco Nori2,4

  • 1RIKEN Center for Quantum Computing (RQC), RIKEN Wako-shi, Saitama, Japan. denggaolai@foxmail.com.

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Summary
This summary is machine-generated.

This study demonstrates directional quantum synchronization of phonons, a novel quantum resource. The method shows robustness against imperfections and noise, paving the way for advanced quantum technologies.

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Area of Science:

  • Quantum physics
  • Quantum information science
  • Optomechanics

Background:

  • Nonreciprocal physics is crucial for classical and quantum resources.
  • Nonreciprocal quantum synchronization of phonons remains unexplored.
  • Existing methods are sensitive to imperfections and noise.

Purpose of the Study:

  • To demonstrate nonreciprocal quantum synchronization of phonons.
  • To reveal the robustness of this quantum resource against practical device imperfections and thermal noise.
  • To establish a foundation for generating robust nonreciprocal quantum resources.

Main Methods:

  • Harnessing the synergy of the Sagnac and magnon-Kerr effects.
  • Utilizing light or magnetic fields to control phonon synchronization.
  • Investigating the impact of fabrication imperfections and thermal noise.

Main Results:

  • Achieved directional quantum synchronization of phonons.
  • Demonstrated counterintuitive robustness against random fabrication imperfections and thermal noise.
  • Observed unique nonreciprocity in quantum synchronization based on direction.

Conclusions:

  • The proposed method enables nonreciprocal quantum synchronization of phonons.
  • The approach overcomes limitations of previous proposals by enhancing resonator resilience.
  • Lays the groundwork for creating robust nonreciprocal quantum resources.