Fig. 3
From: Quantum simulation of ultrafast dynamics using trapped ultracold atoms
Tunable excitation spectra via trap shaping. a Bound fraction after a 1-s pulse as a function of excitation frequency for an unmodified trap. Bold dotted lines are theoretically predicted frequencies of collective resonances expected to couple to our drive. Labels on theory lines indicate the quantum numbers (k,β,γ), using the notation of26. β and γ are parity quantum numbers, and k indicates the form of the nodal surface for the excitation. The quantum number m is 1 for all resonances plotted. The only inputs to this theory are the three trap frequencies. The resonance at half the fundamental frequency is believed to be due to parametric excitation of a dipole oscillation in the direction of gravity. Pulse amplitudes were increased from 0.6 μm at low frequency to 3 μm at the highest frequency to maximize peak visibility. b Evolution of predicted resonances under continuously increasing trap broadening. Thinner dotted lines represent resonances which are not dipole-allowed for this drive polarization. c Bound fraction after a 1-s pulse as a function of excitation frequency for a trap broadened in one direction as described in the Methods section
