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Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
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Fermion pairing across a dipolar interaction induced resonance.

Ran Qi1, Zhe-Yu Shi1, Hui Zhai1

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Physical Review Letters
|August 29, 2014
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We studied a two-component Fermi gas near dipolar interaction induced resonances (DIIR). Even with anisotropic interactions, low-density pairing is isotropic, while high-density pairing transitions from singlet to triplet, breaking time-reversal symmetry.

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Area of Science:

  • Quantum physics
  • Ultracold atomic gases
  • Condensed matter physics

Background:

  • Anisotropic dipolar interactions in two-component Fermi gases can lead to scattering resonances.
  • Dipolar Interaction Induced Resonances (DIIR) are known from two-body problem solutions.
  • Understanding many-body physics near these resonances is crucial.

Purpose of the Study:

  • Investigate the zero-temperature many-body physics of a two-component Fermi gas across a DIIR.
  • Analyze the impact of anisotropic dipolar interactions on pairing properties.
  • Characterize phase transitions in different density regimes.

Main Methods:

  • Theoretical study of a two-component Fermi gas at zero temperature.
  • Analysis across a dipolar interaction induced resonance (DIIR).
  • Examination of pairing order parameters and energy in low and high-density regimes.

Main Results:

  • In the low-density regime, pairing is nearly isotropic singlet pairing, described by an s-wave resonant potential.
  • Pairing energy in the low-density regime is comparable to a unitary Fermi gas near a magnetic Feshbach resonance.
  • In the high-density regime, anisotropic effects drive phase transitions: singlet -> mixed singlet-triplet -> pure triplet pairing.
  • The mixed pairing state spontaneously breaks time-reversal symmetry.

Conclusions:

  • The study reveals distinct pairing behaviors in low and high-density regimes of a Fermi gas near DIIR.
  • Anisotropic dipolar interactions significantly influence pairing symmetry and lead to novel phases.
  • The findings offer insights into quantum phenomena in interacting Fermi systems with long-range interactions.