Confinement induced molecules in a 1D Fermi gas

Area of Science:

• Atomic physics
• Condensed matter physics
• Quantum mechanics

Background:

• Two-particle bound states are fundamental in atomic and molecular physics.
• In free space, their existence depends on the sign of the scattering length.
• Understanding these states in confined systems is crucial for quantum technologies.

Purpose of the Study:

• To investigate the formation and properties of two-particle bound states in one-dimensional atomic waveguides.
• To explore the influence of scattering length and confinement on these bound states.
• To realize and study a tunable one-dimensional Fermi gas as a Luttinger liquid.

Main Methods:

• Confining atoms in a one-dimensional matter waveguide.
• Utilizing radio-frequency spectroscopy to measure binding energies.
• Creating a strongly interacting one-dimensional Fermi gas in an optical lattice.

Main Results:

• Observed two-particle bound states of atoms in a 1D waveguide.
• Found that bound states exist irrespective of the scattering length sign, unlike in free space.
• Measured binding energies showed good agreement with theoretical models as a function of scattering length and confinement.

Conclusions:

• The study demonstrates a novel type of two-particle bound state in one-dimensional systems.
• The observed system serves as a tunable Luttinger liquid, a key model in condensed matter physics.
• Experimental findings validate theoretical predictions for bound states in one-dimensional confined atomic gases.