![]() ![]() Inset: Zoom-in on the region near the avoided crossing, indicating the relevant features of the Landau-Zener treatment: Δ is the energy gap between the adiabatic energies ε 1 and ε 2 at closest approach these adiabatic energies correspond to the two adiabatic states | χ 1 〉 and | χ 2 〉 at the avoided crossing. We highlight curves corresponding to the electronic states that contribute the most to the formation of the well (see text). (a) Ω = 0 + potential energy curves describing the interactions between one potassium Rydberg atom and one rubidium Rydberg atom: both atoms have been excited to the 70 s state. Three results (see text) are shown: D e ∼ n − 4 (blue line) gives a poor agreement, D e ∼ n − 3 (dashed black line) gives a good agreement, and D e ∼ n − 3 + n − 4 (red line) gives the best agreement. (c) Scaling relations for the dissociation energy D e vs the principal quantum number n. (b) Scaling relations for the equilibrium separation R e vs the principal quantum number n: R e ∼ n 12 / 5. Inset: Zoom-in on the deepest part of the well, showing the first few bound vibrational levels corresponding energies and classical turning points are listed in Table 4. ![]() We explicitly label the equilibrium separation R e and the dissociation energy D e. We note the existence of an ∼ 600-MHz-deep well associated with the 69 ( K ) s + 69 ( Rb ) d 5 / 2 asymptotic level, capable of supporting many bound states. (a) Long-range potential energy curves corresponding to the Ω = 0 + symmetry interactions of one potassium Rydberg atom and one rubidium Rydberg atom both atoms have been excited to the 70 s state. Finally, we apply a Landau-Zener treatment to show that the dimer states are stable with respect to predissociation. We discuss the specific effects of ℓ mixing and the exact composition of the calculated potential well via the expansion coefficients of the asymptotic basis states. We establish n-scaling relations for the equilibrium separation R e and the dissociation energy D e and find these relations to be consistent with similar calculations involving the homonuclear interactions between rubidium and cesium. We find that when both atoms are excited to either the 70 s state or the 70 p state, both the Ω = 0 + symmetry interactions and the Ω = 0 − symmetry interactions demonstrate a deep potential well capable of supporting many bound levels the sizes of the corresponding dimer states are of the order of 2.25 μ m. After establishing properly symmetrized asymptotic basis states, we diagonalize an interaction Hamiltonian consisting of the standard Coulombic potential expansion and atomic fine structure to calculate electronic potential energy curves. We investigate the long-range, two-body interactions between rubidium and potassium atoms in highly excited ( n = 70 ) Rydberg states. ![]()
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