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Spin–Spin Coupling: One-Bond Coupling

Spin–Spin Coupling: One-Bond Coupling

Coupling interactions are strongest between NMR-active nuclei bonded to each other, where spin information can be transmitted directly through the pair of bonding electrons. While nuclei polarize their electrons to the opposite spins, the bonding electron pair has opposite spins. Configurations with antiparallel nuclear spins are expected to be lower in energy. When coupling makes antiparallel states more favorable, J is considered to have a positive value. The one-bond coupling constant, 1J,...

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Fermi Level Dynamics

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Fermi Level

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Related Experiment Video

Updated: Sep 7, 2025

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Published on: March 30, 2017

Spin-charge separation in a one-dimensional Fermi gas with tunable interactions.

Ruwan Senaratne¹, Danyel Cavazos-Cavazos¹, Sheng Wang^2,3

¹Department of Physics and Astronomy, Rice University, Houston, TX 77005, USA.

Science (New York, N.Y.)

|June 16, 2022

Summary

Ultracold atoms in one dimension demonstrate spin-charge separation, a key quantum phenomenon. This research validates Tomonaga-Luttinger liquid theory and explores beyond its predictions.

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Area of Science:

Quantum simulation
Condensed matter physics
Ultracold atomic gases

Background:

Ultracold atoms in periodic potentials are powerful quantum simulators.
The Tomonaga-Luttinger liquid model describes one-dimensional many-body systems.

Purpose of the Study:

To realize and experimentally probe the Tomonaga-Luttinger liquid model using ultracold fermions.
To investigate spin-charge separation and its dependence on interaction strength.

Main Methods:

Confining fermionic atoms to one dimension using periodic potentials.
Employing Bragg spectroscopy to excite spin and charge waves.
Analyzing excitation spectra for varying interaction strengths.

Main Results:

Observed opposite shifts in spin and charge excitation velocities with increasing interaction, confirming spin-charge separation.
Achieved quantitative agreement between experimental spectra and theoretical models (Yang-Gaudin, Tomonaga-Luttinger liquid).
Identified nonlinear corrections to the theory due to band curvature and back-scattering.

Conclusions:

Experimental realization of the Tomonaga-Luttinger liquid model with ultracold fermions.
Direct observation and characterization of spin-charge separation in a quantum system.
Validation of theoretical predictions and identification of beyond-leading-order effects.