How are ultra cold temperatures measured?

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SUMMARY

Ultra-cold temperatures, particularly in the nanoKelvin range, are measured through techniques that analyze the velocity distribution of atoms. Key methods include the time-of-flight (TOF) technique and the fountain technique, both of which rely on the expansion of atoms after being released from an optical trap. This expansion correlates with the velocity distribution, allowing for temperature inference. Essential technologies for achieving ultra-cold conditions include laser cooling and magnetic refrigeration, necessitating ultra-high vacuum environments.

PREREQUISITES
  • Understanding of ultra-high vacuum systems
  • Familiarity with laser cooling techniques
  • Knowledge of atomic physics and velocity distribution
  • Experience with time-of-flight measurement methods
NEXT STEPS
  • Research "Laser cooling techniques" for ultra-cold atom manipulation
  • Study "Magnetic refrigeration" for efficient cooling methods
  • Explore "Time-of-flight (TOF) measurement" for temperature inference
  • Read Bill Phillips' methods on atomic expansion in ultra-cold physics
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Physicists, researchers in quantum mechanics, and engineers working with ultra-cold technologies will benefit from this discussion.

widderjoos
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How are ultra cold temperatures measured? For example, sometimes I see things measured in nanoKelvins. I'm thinking there has to be direct contact since the vacuum is already hotter than this, but how is it actually done?
 
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It requires ultra high vaccum.
And the cooling technology can be utilized is "Laser cooling" and "Magnetic refrigeration".
 
widderjoos said:
How are ultra cold temperatures measured? For example, sometimes I see things measured in nanoKelvins. I'm thinking there has to be direct contact since the vacuum is already hotter than this, but how is it actually done?
It comes from measuring the velocity distribution of the atoms. A narrower distribution corresponds to colder temperatures.
shawl said:
It requires ultra high vaccum.
And the cooling technology can be utilized is "Laser cooling" and "Magnetic refrigeration".
That does not address the question, which is, how are these cold temperatures measured?
 
Thanks, but how do they measure the velocity distribution without significantly heating the system up?
 
widderjoos said:
Thanks, but how do they measure the velocity distribution without significantly heating the system up?
I'm more familiar with measurements in the μK range that were common 20-or-so years ago. I'm not 100% sure if they still work in the nK range -- I believe they do, or some variation of them -- but here is a brief explanation:

After cooling and trapping atoms the optical trap is shut off, releasing the atoms that had been trapped. The collection of atoms then expands, owing to the different velocities of the atoms. Loosely speaking, the amount of expansion of this "cloud" of atoms is measured some time later. The expansion rate is a measure of the velocity distribution, from which the temperature can be inferred.

For more details, Bill Phillips has nicely described several methods, all relying on the expansion of atoms after shutting off the trap:
http://prl.aps.org/files/RevModPhys.70.721.pdf

One method described on p. 730 (p. 10 of the pdf file), in the paragraph that begins "Using the techniques for chirp cooling, ..."

A second method is described starting at the bottom of p. 731, in the paragraph that begins "In this time of flight (TOF) method,..."

Two more methods are described briefly, on p. 732, in the paragraph that begins "Another method was the 'fountain' technique..."

Hope that helps.
 
Thanks, this helped a lot
 

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