Two Atoms in a Double Well: An Exact Solution

Abstract

We propose to experimentally realize an odd parity eigenstate $|b⟩$ of two atoms in the double well. The occupation probability of this state shows evident dependence on the interaction, distinct from the result of two-mode model adopted in the Heidelberg experiment. The tunneling dynamics of two atoms starting from the $NOON$ state with infinite barrier height can be derived from the exactly solved model of $\delta$-barrier split double well based on a Bethe ansatz type hypothesis of the wave functions. We find that the single particle tunneling transfer the probabilities between double occupancy and single occupancy of each well.

5 pages, 3 figures, 6 pages Supplementary Material,

References in corpus (11)

• Orbital superfluidity in the $P$-band of a bipartite optical square lattice
• Collisions of matter-wave solitons
• Two Fermions in a double well: Exploring a fundamental building block of the Hubbard model
• State preparation and dynamics of ultracold atoms in higher lattice orbitals
• Few-boson dynamics in double wells: From single-atom to correlated-pair tunneling
• Ground-state properties of one-dimensional ultracold Bose gases in a hard-wall trap
• Tunneling dynamics of few bosons in a double well
• Excitations of Few-Boson Systems in 1-D Harmonic and Double Wells
• Boson Pairs in a One-dimensional Split Trap
• Ground-state properties of few-Boson system in a one-dimensional hard wall potential with split
• Hard-core Bose-Fermi mixture in one-dimensional split traps