Lenta: 17 Metres per Second

Quantum Foundations arc, page 19 of 193. Back to The Pixelated Physics Universe

Who they are

Lenta walks a beam of light on a leash, slowed to bicycle speed.

Lenta is a character of the Quantum Foundations arc: drawn in pixels, ruled by one piece of real physics, and never allowed to break it.

The physics

Electromagnetically induced transparency uses a control laser to make an opaque atomic cloud transparent over a narrow range of colours. Across that window the refractive index changes extremely steeply, so a light pulse's group velocity drops enormously. In 1999 Hau, Harris, Dutton and Behroozi slowed light to 17 m/s in ultracold sodium, about 18 million times slower than in vacuum; in 2001 light was stopped.

$$ \begin{gathered} v_g = \frac{c}{n + \omega\,\dfrac{dn}{d\omega}} \end{gathered} $$

Symbol Meaning SI unit
$v_g$ group velocity of the light pulse m/s
$c$ speed of light in vacuum, 299 792 458 m/s (exact) m/s
$n$ refractive index 1
$\omega$ probe angular frequency rad/s

Sources

Crossovers

Lenta meets Superlumen (Phase Velocity Faster Than Light). Lenta slows a light pulse's group velocity to bicycle speed in an atomic cloud. Superlumen points to the phase velocity, which in a dispersive medium can exceed c. Neither of them carries information faster than light.

Lenta meets Superlumen (Phase Velocity Faster Than Light). In a dispersive medium the phase and group velocities part ways. Superlumen's phase velocity can exceed c, while Lenta's group velocity can crawl. The signal front never beats c.

Wear the lore


Concept keywords: 17 Metres per Second, Lenta, Quantum Foundations, physics lore, Pixelated Physics