Quench dynamics of mass-imbalanced three-body fermionic systems in a spherical trap
arXiv:2207.09091 · doi:10.1103/PhysRevA.106.053310
Abstract
We consider a system of two identical fermions of general mass interacting with a third distinguishable particle via a contact interaction within an isotropic three-dimensional harmonic trap. We calculate time-dependent observables of the system after it is quenched in s-wave scattering length. To do this we use exact closed form mass-imbalanced hyperspherical solutions to the static three-body problem. These exact solutions enable us to calculate two time-dependent observables, the Ramsey signal and particle separation, after the system undergoes a quench from non-interacting to the unitary regime or vice-versa.
References in corpus (11)
- Molecules of Fermionic Atoms in an Optical Lattice
- Two Fermions in a double well: Exploring a fundamental building block of the Hubbard model
- Virial expansion for a strongly correlated Fermi gas
- Three attractively interacting fermions in a harmonic trap: Exact solution, ferromagnetism, and high-temperature thermodynamics
- Level crossing in the three-body problem for strongly interacting fermions in a harmonic trap
- Universality of the unitary Fermi gas: A few-body perspective
- Exactly solvable model of two trapped quantum particles interacting via finite-range soft-core interactions
- Strongly Interacting One-Dimensional Systems with Small Mass Imbalance
- Bunching, clustering, and the buildup of few-body correlations in a quenched unitary Bose gas
- Complex scaling flows in the quench dynamics of interacting particles
- Dynamical excitation processes and correlations of three-body two-dimensional mixtures