Dynamical excitation processes and correlations of three-body two-dimensional mixtures

Abstract

A scheme is proposed to dynamically excite distinct eigenstate superpositions in three-body Bose-Fermi mixtures confined in a two-dimensional harmonic trap. The system is initialized in a non-interacting state with a variable spatial extent, and the scattering lengths are subsequently quenched. For spatial widths smaller than the three-body harmonic oscillator length, a superposition of trimers and atom-dimers is dynamically attained, otherwise trap states are predominantly populated. Accordingly, the Tan contacts evince the build-up of short range two- and three-body correlations in the course of the evolution. A larger spatial extent of the initial state leads to a reduction of few-body correlations, endowed however with characteristic peaks at the positions of the avoided-crossings in the energy spectra, thereby signalling the participation of atom-dimers. Our results expose ways to dynamically excite selectively trimers, atom-dimers and trapped few-body states characterized by substantial correlations and likely to be accessible within current experiments.

18 pages, 10 figures

References in corpus (26)

• Dynamics of Loschmidt echoes and fidelity decay
• Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
• Verification of universal relations in a strongly interacting Fermi gas
• Observation of Efimov Resonances in a Mixture with Extreme Mass Imbalance
• Two-dimensional dynamics of expansion of a degenerate Bose gas
• Measurement of the Homogeneous Contact of a Unitary Fermi gas
• Universal Relations for Identical Bosons from 3-Body Physics
• Analytical solutions for the dynamics of two trapped interacting ultracold atoms
• Two and Three-body Contacts in the Unitary Bose Gas
• Precise determination of the structure factor and contact in a unitary Fermi gas
• Feshbach resonances, weakly bound molecular states and coupled-channel potentials for cesium at high magnetic fields
• Exact Relations for a Strongly-interacting Fermi Gas near a Feshbach Resonance
• Exact few-body results for strongly correlated quantum gases in two dimensions
• Universal properties of Fermi gases in arbitrary dimensions
• Universal Scaling Laws in the Dynamics of a Homogeneous Unitary Bose Gas
• Heteronuclear Efimov scenario with positive intraspecies scattering length
• Two trapped particles interacting by a finite-ranged two-body potential in two spatial dimensions
• Universal low-energy properties of three two-dimensional particles
• Mass-imbalanced Three-Body Systems in Two Dimensions
• Analyzing Feshbach resonances -- A ${}^6$Li -${}^{133}$Cs case study
• Three-body recombination of two-component cold atomic gases into deep dimers in an optical model
• Bunching, clustering, and the buildup of few-body correlations in a quenched unitary Bose gas
• Adiabatic Hyperspherical Representation for the Three-body Problem in Two Dimensions
• Dimensional Effects on the Momentum distribution of Bosonic Trimer States
• Ultracold heteronuclear three-body systems: How diabaticity limits the universality of recombination into shallow dimers
• Cold atom-dimer reaction rates with ${}^4$He, ${}^{6,7}$Li and ${}^{23}$Na

Cited by in corpus (4)

• 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
• Molecular excited state in the interaction quench dynamics of two different atoms in a two-dimensional anisotropic trap
• Arbitrary interaction quench phenomena in harmonically trapped two-body systems