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Trion Formation and Ordering in the Attractive SU(3) Fermi-Hubbard Model
Jonathan Stepp1, Eduardo Ibarra-García-Padilla2, Richard T Scalettar3
1Rice University, Department of Physics and Astronomy, Houston, Texas 77005, USA.
Researchers explored the SU(3) attractive Fermi-Hubbard model using polar molecules. They discovered distinct Fermi liquid, trion liquid, and charge density wave phases, demonstrating a new quantum simulation platform.
Area of Science:
- Quantum simulation
- Condensed matter physics
- Ultracold atoms
Background:
- Advances in microwave shielding enable control of polar molecules for Bose-Einstein condensates.
- Shielded polar molecules exhibit SU(N) symmetry, offering tunable interactions and bosonic statistics.
- SU(N) systems with larger N are accessible, motivating studies of their properties.
Purpose of the Study:
- Investigate the SU(3) attractive Fermi-Hubbard model (FHM) on a square lattice.
- Explore the finite temperature phase diagram of this system.
- Demonstrate the potential of polar molecules as a quantum simulation platform.
Main Methods:
- Utilized the determinant quantum Monte Carlo (DQMC) method.
- Analyzed the finite temperature phase diagram.
- Extended the method for larger N and sign-problem-free simulations for even N.
Main Results:
- Identified three distinct regions: three-component Fermi liquid (FL), trion liquid (TL), and charge density wave (CDW).
- Found the CDW phase is stable at finite temperatures.
- Observed an FL to TL crossover suggesting a zero-temperature quantum phase transition.
Conclusions:
- Polar molecules provide a promising platform for simulating attractive SU(N) Fermi-Hubbard models.
- The study reveals rich phase diagrams with potential for new quantum phenomena.
- The DQMC method is adaptable for exploring larger SU(N) systems.
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