Control of Spin-Exchange Interaction between Alkali-Earth Atoms via Confinement-Induced Resonances in a Quasi 1+0 Dimensional System
arXiv:1804.03388 · doi:10.1103/PhysRevA.97.043627
Abstract
A nuclear-spin exchange interaction exists between two ultracold fermionic alkali-earth (like) atoms in the electronic state (-state) and state (-state), and is an essential ingredient for the quantum simulation of Kondo effect. We study the control of this spin-exchange interaction for two atoms simultaneously confined in a quasi-one-dimensional (quasi-1D) tube, where the -atom is freely moving in the axial direction while the -atom is further localized by an additional axial trap and behaves as a quasi-zero-dimensional (quasi-0D) impurity. In this system, the two atoms experience effective-1D spin-exchange interactions in both even and odd partial wave channels, whose intensities can be controlled by the characteristic lengths of the confinements via the confinement-induced-resonances (CIRs). In current work, we go beyond that pure-1D approximation. We model the transverse and axial confinements by harmonic traps with finite characteristic lengths and , respectively, and exactly solve the "quasi-1D + quasi-0D" scattering problem between these two atoms. Using the solutions we derive the effective 1D spin-exchange interaction and investigate the locations and widths of the even/odd wave CIRs for our system. It is found that when the ratio is larger, the CIRs can be induced by weaker confinements, which are easier to be realized experimentally. The comparison between our results and the recent experiment shows that the two experimentally observed resonance branches of the spin-exchange effect are due to an even-wave CIR and an odd-wave CIR, respectively. Our results are advantageous for the control and description of either the effective spin-exchange interaction or other types of interactions between ultracold atoms in quasi 1+0 dimensional systems.
arXiv comment14 pages, 3 figures. Compare to previous version, we did a major revision in current version
References in corpus (24)
- A spin-orbit coupled Bose-Einstein condensate
- Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
- Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
- Josephson Junction Arrays with Bose-Einstein Condensates
- Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
- Degenerate Quantum Gases with Spin-Orbit Coupling
- Visualizing edge states with an atomic Bose gas in the quantum Hall regime
- Observation of the Meissner effect with ultracold atoms in bosonic ladders
- Microscopy of the interacting Harper-Hofstadter model in the few-body limit
- Chiral Ladders and the Edges of Chern Insulators
- Meissner effect in a bosonic ladder
- Josephson effects in dilute Bose-Einstein condensates
- Exploring Interacting Topological Insulators with Ultracold Atoms: the Synthetic Creutz-Hubbard Model
- Thermal vs quantum decoherence in double well trapped Bose-Einstein condensates
- Non-Abelian Josephson effect between two spinor Bose-Einstein condensates in double optical traps
- Spontaneous increase of magnetic flux and chiral-current reversal in bosonic ladders: Swimming against the tide
- Josephson dynamics of a spin-orbit coupled Bose-Einstein condensate in a double well potential
- Chiral currents in one-dimensional fractional quantum Hall states
- Quantum Charge Pumps with Topological Phases in Creutz Ladder
- Momentum-Space Josephson Effects
- Topological Phases of Fermionic Ladders with Periodic Magnetic Fields
- Tunable topological phases with fermionic atoms in a one-dimensional flux lattice