Realization of a Laughlin state of two rapidly rotating fermions

Realization of a Laughlin state of two rapidly rotating fermions

February 23, 2024 | Philipp Lunt, Paul Hill, Johannes Reiter, Philipp Preiss, Maciej Galka, and Selim Jochim
A Laughlin state of two rapidly rotating fermions has been realized in an optical tweezer. By using a single atom and spin-resolved imaging technique, the researchers sampled the Laughlin wavefunction, revealing its distinctive features, including a vortex distribution in the relative motion, correlations in the particles' relative angle, and suppression of inter-particle interactions. This work lays the foundation for atom-by-atom assembly of fractional quantum Hall states in rotating atomic gases. Neutral particles in a rotating frame mimic the motion of charged particles in a magnetic field. The Coriolis force acts as the Lorentz force, leading to quantized energy levels known as Landau levels. The filling factor ν determines the system's properties, with ν = 1/m described by Laughlin's wavefunction. Rotating ultracold atomic gases are a method to study quantum many-body physics in magnetic fields. In the slow-rotation limit, quantized flux vortices form in a triangular Abrikosov lattice. At ν ≈ 1, strongly correlated phases emerge, similar to those in the fractional quantum Hall effect. The researchers achieved ν = 1/2 by rotating two spinful fermions in an optical tweezer, using a Laguerre-Gaussian beam to induce angular momentum. The experiment involved preparing two non-interacting fermions in the ground state of a radially symmetric optical tweezer. The trap was tuned to an elliptical shape to induce rotation. Interactions broke the symmetry between the center-of-mass and relative motion, allowing for selective addressing of states with angular momentum in the relative motion. The Laughlin state was identified through spectroscopic measurements and Rabi oscillations, showing a high preparation fidelity. The researchers observed the Laughlin wavefunction in momentum space, revealing a vortex distribution in the relative motion and angular momentum correlations. The state was insensitive to environmental noise, with a long coherence time. The results demonstrate the non-interacting yet strongly correlated nature of the Laughlin state, providing insights into spinful fractional quantum Hall states in ultracold atoms. Future work aims to explore topological phases, quantum Hall ferromagnetism, and quantum phase transitions in cold atom systems.A Laughlin state of two rapidly rotating fermions has been realized in an optical tweezer. By using a single atom and spin-resolved imaging technique, the researchers sampled the Laughlin wavefunction, revealing its distinctive features, including a vortex distribution in the relative motion, correlations in the particles' relative angle, and suppression of inter-particle interactions. This work lays the foundation for atom-by-atom assembly of fractional quantum Hall states in rotating atomic gases. Neutral particles in a rotating frame mimic the motion of charged particles in a magnetic field. The Coriolis force acts as the Lorentz force, leading to quantized energy levels known as Landau levels. The filling factor ν determines the system's properties, with ν = 1/m described by Laughlin's wavefunction. Rotating ultracold atomic gases are a method to study quantum many-body physics in magnetic fields. In the slow-rotation limit, quantized flux vortices form in a triangular Abrikosov lattice. At ν ≈ 1, strongly correlated phases emerge, similar to those in the fractional quantum Hall effect. The researchers achieved ν = 1/2 by rotating two spinful fermions in an optical tweezer, using a Laguerre-Gaussian beam to induce angular momentum. The experiment involved preparing two non-interacting fermions in the ground state of a radially symmetric optical tweezer. The trap was tuned to an elliptical shape to induce rotation. Interactions broke the symmetry between the center-of-mass and relative motion, allowing for selective addressing of states with angular momentum in the relative motion. The Laughlin state was identified through spectroscopic measurements and Rabi oscillations, showing a high preparation fidelity. The researchers observed the Laughlin wavefunction in momentum space, revealing a vortex distribution in the relative motion and angular momentum correlations. The state was insensitive to environmental noise, with a long coherence time. The results demonstrate the non-interacting yet strongly correlated nature of the Laughlin state, providing insights into spinful fractional quantum Hall states in ultracold atoms. Future work aims to explore topological phases, quantum Hall ferromagnetism, and quantum phase transitions in cold atom systems.
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Understanding Realization of a Laughlin State of Two Rapidly Rotating Fermions.