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Creating Two-Dimensional Patterned Substrates for Protein and Cell Confinement
Published on: September 6, 2011
Exactly solvable model of two interacting Rydberg-dressed atoms confined in a two-dimensional harmonic trap
Przemysław Kościk1, Tomasz Sowiński2
1Institute of Physics, Jan Kochanowski University, ul. Świȩtokrzyska 15, PL-25406, Kielce, Poland.
Abstract:
Exactly solvable model of two Rydberg-dressed atoms moving in a quasi-two-dimensional harmonic trap is introduced and its properties are investigated. Depending on the strength of inter-particle interactions and the critical range of the potential, the two-particle eigenstates are classified with respect to the excitations of the center-of-mass motion, relative angular momentum, and relative distance variable. Having these solutions in hand, we discuss inter-particle correlations as functions of interaction parameters. We also present a straightforward prescription of how to generalize obtained solutions to higher dimensions.
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