A selective resonance scan checks a pulse against two nearby transition gaps, 3/4 and 1/2, and only fires the transition whose gap the pulse exactly equals. The three rows use pulse 3/4 (target matched, neighbor off), pulse 1/2 (neighbor matched, target off), and pulse 1/4 (both off) exactly for the stated toy resonance rule; real selective control has finite pulse bandwidth, off-resonant driving, and crosstalk between nearby transitions.

Three pulse values probe two nearby transitions, firing only the gap they exactly match. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

A pulse tuned to the target skips the neighbor

Two nearby transitions have gaps 3/4 and 1/2. A pulse matching the target gap leaves the neighbor untouched.

pulse=34=ΔEtarget,pulse≠ΔEneighbor\text{pulse}=\frac{3}{4}=\Delta E_{\text{target}},\quad \text{pulse}\ne\Delta E_{\text{neighbor}}
Target-selective pulseThe target level pair lights up; the neighbor stays off.lowhigh3/4lowhigh1/2target matchedneighbor off

Three pulses probe two nearby transitions selectively

The same two gaps are tested against three pulse values. Only a pulse that exactly equals one gap fires that transition; the other gap stays off unless the pulse matches it instead.

pulsetargetneighbor34matchedoff12offmatched14offoff\begin{array}{c|c|c}\text{pulse}&\text{target}&\text{neighbor}\\\frac{3}{4}&\text{matched}&\text{off}\\\frac{1}{2}&\text{off}&\text{matched}\\\frac{1}{4}&\text{off}&\text{off}\\\end{array}
Neighbor-selective pulseThe same pulse that missed the target now matches the neighbor.lowhigh3/4lowhigh1/2target offneighbor matched

A pulse between both gaps fires neither transition

A pulse of 1/4 matches neither exact gap, so this model marks both transitions off. Selectivity means an exact match is required, not just a nearby value.

pulse≠ΔEtarget,pulse≠ΔEneighbor\text{pulse}\ne\Delta E_{\text{target}},\quad \text{pulse}\ne\Delta E_{\text{neighbor}}
Off-resonance pulseNeither level pair lights up for this pulse.lowhigh3/4lowhigh1/2target offneighbor off