arXiv:1205.2231 · Physical Review A

Born-Oppenheimer description of two atoms in a combined oscillator and lattice trap

Ole Søe Sørensen, Klaus Mølmer

Published Jul 17, 2012• 2 citations

Abstract

We analyze the quantum states of two identical bosons in a combined harmonic oscillator and periodic lattice trap in one spatial dimension. In the case of tight-binding and only nearest-neighbor tunneling, the equations of motion are conveniently represented in the momentum representation. We show that in the case of strong attraction between the particles, the different time scales of relative and center-of-mass motions validate a separation of the problem similar to the Born-Oppenheimer approximation applied in the description of electronic and nuclear motions in molecules.

DOI: 10.1103/physreva.86.013625

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arXiv:1205.2231 · Physical Review A

Born-Oppenheimer description of two atoms in a combined oscillator and lattice trap

Ole Søe Sørensen, Klaus Mølmer

Published Jul 17, 2012• 2 citations

arXiv HTML PDF

Abstract

DOI: 10.1103/physreva.86.013625

Related papers

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g

from the ground (

n=N=0

) and first excited atomic states in the trap with respect to relative (

n=2,N=0

) and center-of-mass (

n=0,N=2

) atomic motion. This allows us to investigate the initial population and pair correlation, as well as the effective coupling constant

g

, of the system by comparing the calculated tunneling rate with the experimental one. We observe that the only possible tunneling scenario is a sequential particle tunneling in the cases we consider. We also analyze a rearrangement $(0,2)\ensuremath{\rightleftarrows}(2,0)$ of the spectrum in the limit $g\ensuremath{\rightarrow}\ifmmode\pm\else\textpm\fi{}0$ of noninteracting atoms.