Exploring exchange mechanisms with a cold atom gas

Abstract

Fermionic atoms trapped in a double well potential are an ideal setting to study fundamental exchange mechanisms. We use exact diagonalization and complementary analytic calculations to demonstrate that two trapped fermions deliver a minimal model of the direct exchange mechanism. This is an ideal quantum simulator of the Heisenberg antiferromagnet, exposes the competition between covalent and ionic bonding, and can create, manipulate, and detect quantum entanglement. Three trapped atoms form a faithful simulator of the double exchange mechanism that is the fundamental building block behind many Heisenberg ferromagnets.

References in corpus (8)

• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Virial expansion for a strongly correlated Fermi gas
• Analytical solutions for the dynamics of two trapped interacting ultracold atoms
• Three attractively interacting fermions in a harmonic trap: Exact solution, ferromagnetism, and high-temperature thermodynamics
• Itinerant ferromagnetism in an atomic Fermi gas: Influence of population imbalance
• Ferromagnetic spin correlations in a few-fermion system
• Atom-dimer scattering for confined ultracold fermion gases
• Two interacting fermions in a 1D harmonic trap: matching the Bethe ansatz and variational approaches

Cited by in corpus (8)

• One-dimensional mixtures of several ultracold atoms: a review
• Three interacting atoms in a one-dimensional trap: A benchmark system for computational approaches
• Pair tunneling of two atoms out of a trap
• Inhomogeneous state of few-fermion superfluids
• High-fidelity pseudopotentials for the contact interaction
• Quasi-Perfect State Transfer in Spin Chains via Parametrization of On-Site Energies
• Pair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential
• State transfer analysis for linear spin chains with non-uniform on-site energies