Molassa
The Doppler Cooling Limit Physics
Size guide S–5XL · inches
Molassa stands where six laser beams cross, and atoms freeze in her palm. Then they got colder than the rules allowed.
The Physics
In optical molasses, red-detuned laser beams from every direction slow a moving atom like friction, while random recoils from spontaneous emission heat it. For a simple two-level atom the balance sets a minimum temperature, the Doppler limit, best reached at detuning δ = −Γ/2. For sodium's D2 line that limit is about 235 μK.
k_B T_D = ħ Γ / 2
- k_B: Boltzmann constant (J/K)
- T_D: Doppler limit temperature (K)
- ħ: reduced Planck constant (J·s)
- Γ: natural linewidth of the transition (1/s)
In 1988 Lett, Phillips and co-workers measured sodium atoms at 43 ± 20 μK, far below the limit; Chu, Cohen-Tannoudji and Phillips shared the 1997 Nobel Prize in Physics.
Honest caveat: The Doppler limit is right for two-level atoms. Real atoms have many sublevels, and polarisation-gradient (Sisyphus) cooling beats it.
On the shirt
Front: Molassa, the pixel-art character, with the title. Back: the Doppler limit, the sodium numbers, the 1988 measurement, the Sisyphus explanation and the 1997 Nobel. Printed on a unisex tee.
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Details
Size & fitS–5XL
Unisex heavy cotton (Gildan 5000), classic fit.
| Size | Width | Length | Sleeve |
|---|---|---|---|
| S | 18 | 28 | 15.1 |
| M | 20 | 29 | 16.5 |
| L | 22 | 30 | 18 |
| XL | 24 | 31 | 19.5 |
| 2XL | 26 | 32 | 21 |
| 3XL | 28 | 33 | 22.4 |
| 4XL | 30 | 34 | 23.7 |
| 5XL | 32 | 35 | 25 |
För skalans skull: storlek M är 20 in (50.80 cm) bred, ungefär 3.143 × 1034 Plancklängder (lP = 1.616255 × 10−35 m). Ett måttband går snabbare.
Measurements in inches, ±1.5 in tolerance.
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