Universality and itinerant ferromagnetism in rotating strongly interacting Fermi gases

Abstract

We analytically determine the properties of three interacting fermions in a harmonic trap subject to an external rotation. Thermodynamic quantities such as the entropy and energy are calculated from the third order quantum virial expansion. By parameterizing the solutions in the rotating frame we find that the energy and entropy are universal for all rotations in the strongly interacting regime. Additionally, we find that rotation suppresses the onset of itinerant ferromagnetism in strongly interacting repulsive three-body systems.

5 pages with 3 figures

References in corpus (16)

• Many-Body Physics with Ultracold Gases
• Revealing the Superfluid Lambda Transition in the Universal Thermodynamics of a Unitary Fermi Gas
• Direct Observation of the Superfluid Phase Transition in Ultracold Fermi Gases
• Phase diagram of a two-component Fermi gas with resonant interactions
• Itinerant Ferromagnetism in a Fermi Gas of Ultracold Atoms
• Molecules of Fermionic Atoms in an Optical Lattice
• Feynman diagrams versus Fermi-gas Feynman emulator
• Virial expansion for a strongly correlated Fermi gas
• Measurement of the Entropy and Critical Temperature of a Strongly Interacting Fermi Gas
• The potential energy of a ${}^{40}$K Fermi gas in the BCS-BEC crossover
• Correlations and Pair Formation in a Repulsively Interacting Fermi Gas
• Three attractively interacting fermions in a harmonic trap: Exact solution, ferromagnetism, and high-temperature thermodynamics
• Natural and unnatural parity states of small trapped equal-mass two-component Fermi gases at unitarity and fourth-order virial coefficient
• Level crossing in the three-body problem for strongly interacting fermions in a harmonic trap
• A new field theoretic method for the virial expansion
• The universal equation of state of a unitary fermionic gas

Cited by in corpus (7)

• Two-body quench dynamics of harmonically trapped interacting particles
• Coupled pair approach for strongly-interacting trapped fermionic atoms
• Thermodynamics of rotating quantum matter in the virial expansion
• Quench dynamics of mass-imbalanced three-body fermionic systems in a spherical trap
• Effects of Efimov states on quench dynamics in a three-boson trapped system
• Energetics of three interacting mass-imbalanced bodies in a three-dimensional spherical harmonic trap
• Arbitrary interaction quench phenomena in harmonically trapped two-body systems