BEC - What is it and where did the idea come from?
What I have heard about Bose-Einstein condensation makes it sound
really weird. What is it really, and how did someone think of it?
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In the early 1920s
Satyendra Nath Bose was studying the new idea (at that time) that the
light came in little discrete packets (we now call these "quanta" or
"photons"). Bose assumed certain rules for deciding when two photons should
be counted up as either identical or different. We now call these rules "Bose
statistics" (or sometimes "Bose-Einstein statistics").
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So where does Einstein come in?
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Bose had trouble getting people to believe him and to publish his
ideas in the scientific magazines of the day, so he sent them to
Einstein. Einstein liked them, and he was a very important
scientist at that time, so he used his influence to get them
published.
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So all he did was use his influence, and for that he got his name
on it?
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No, he actually did something else very important.
Einstein guessed that these same rules might apply to atoms. He worked
out the theory for how atoms would behave in a gas
if these new rules applied. What he found was that the equations
said that generally there would not be much difference, except at
very low temperatures. If the atoms were cold enough, something very
unusual was supposed to happen. It was so strange he was not sure it
was correct.
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I thought Einstein was always right.
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Not in this case. He was only sort of half correct, or maybe a
little less. First, not all types of atoms actually follow the
rules for Bose statistics (stay tuned for our upcoming Bose-Einstein
and Fermi statistics page). However, some atoms do,
and for those Einstein's predictions
were right. But even for those kinds of atoms, he did not realize
the most important effects that his equations were predicting.
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If Einstein missed them, they must have been pretty hard to see.
What were they and how did anyone figure them out?
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The effects come from the fact that, at very low temperatures,
most of the atoms are in the same quantum level.
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Uh, the same quantum level? What does that mean?
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Remember how we talked about how electrons in an atom can only
have certain energies which
we called the quantum mechanical energy
levels?
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Vaguely I guess.
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If you put an atom in any kind of container, even a mixing bowl, it also can
only have certain particular energies. It cannot roll around in
there with just any speed it wants. It has to choose from a
particular set of allowed energies.
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That does not make sense. I can put a ball bearing in a bowl and
give it any speed I want. So where are your particular energies?
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They are so close together in
energy that you never notice there are tiny steps.
What Einstein's equations predicted was that at normal
temperatures the atoms would be in many different levels. However, at very
low temperatures, a large fraction of the atoms would suddenly go
crashing down into the very lowest energy level. The example
below shows a model of atoms in a bowl with greatly magnified energy
levels.
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