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Updated: May 24, 2026

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Evolution of fermion pairing from three to two dimensions.
Ariel T Sommer1, Lawrence W Cheuk, Mark J H Ku
1Department of Physics, MIT-Harvard Center for Ultracold Atoms, and Research Laboratory of Electronics, MIT, Cambridge, Massachusetts 02139, USA.
We observed how fermion pairing changes when a Fermi gas transitions from 3D to 2D. Dimensionality reduction opens a gap in radio-frequency spectra, matching theoretical predictions for fermion pairing and Bose-Einstein condensation crossover.
Area of Science:
- Atomic, Molecular, and Optical Physics
- Condensed Matter Physics
- Quantum Gases
Background:
- Fermion pairing is crucial for understanding superconductivity and superfluidity.
- Dimensionality plays a key role in the behavior of quantum many-body systems.
- Strongly interacting Fermi gases offer a tunable platform to study fundamental quantum phenomena.
Purpose of the Study:
- To investigate the evolution of fermion pairing during a dimensional crossover from 3D to 2D.
- To explore the impact of reduced dimensionality on the properties of strongly interacting Fermi gases.
- To compare experimental observations with theoretical models of pairing and phase transitions.
Main Methods:
- Utilizing a strongly interacting Fermi gas of Lithium-6 atoms.
- Confining the gas to a stack of 2D layers using a 1D optical lattice.
- Measuring radio-frequency spectra to probe pairing phenomena.
- Analyzing binding energies of fermion pairs.
Main Results:
- Observed the opening of a gap in radio-frequency spectra upon decreasing dimensionality.
- Demonstrated that this gap formation occurs even in the Bardeen-Cooper-Schrieffer regime.
- Measured binding energies closely match theoretical two-body binding energies.
- In the 2D limit, results align with zero-temperature mean-field Bose-Einstein condensation to Bardeen-Cooper-Schrieffer crossover theory.
Conclusions:
- Dimensional crossover significantly alters fermion pairing behavior.
- The observed gap opening is a robust signature of pairing in reduced dimensions.
- Experimental results validate theoretical frameworks for understanding quantum gas behavior across dimensions.
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