Einstein Comes Through Again

Einstein Comes Through Again

[Posted early due to travel]

Long time readers of this column know that I”m an Albert

Einstein groupie and can”t resist anything that deals with another

of his many predictions that has come true. Last week, we

discussed how Dr. William Philips and the workers at NIST (the

National Institute of Science and Technology) have used lasers to

achieve temperatures as low as 40 millionths of a degree Kelvin

above Absolute Zero, or 0.000040 K.

I also mentioned a great University of Colorado (UCOL) Web

site with interactive demos you could play with to illustrate laser

cooling. At the time, I didn”t know why UCOL had such a site. I

should have remembered that it was a collaboration between

UCOL and NIST in 1995 that resulted in a major splash in the

scientific world and even got headlines in the popular media.

This was the attainment of what was termed a “superatom”.

Actually, it goes by the scientific name of a Bose-Einstein

condensate (BEC). A BEC is a most unusual kind of stuff that

Einstein and a fellow named Bose had predicted over 70 years

ago. To make this BEC stuff took another leap in coldness

below the 40 millionths of a degree Kelvin.

Surprisingly, Dr. Phillips did not talk about a BEC or about

something else, a “directional atom laser”, that came out of his

group at NIST and was derived from a BEC. Both the BEC and

the atom laser are truly amazing. In what follows, I have relied

heavily on information contained on the NIST, University of

Colorado and Royal Holloway, University of London Web sites.

First, if you didn”t read last week”s column, I suggest you click on

the archives (bottom of this column) and do so. This will bring

you up to speed on laser cooling and the magnetic bottle. Why

did Dr. Phillips not talk about temperatures lower than 40

millionths of a degree Kelvin in his lecture on laser cooling? In

laser cooling, the sodium atoms were slowed down and trapped

in the magnetic bottle. However, the jolts that follow absorption

and emission of photons from the lasers also keep the atoms on

the go. As long as you shine the laser beams on them, they can”t

go any slower than the speed corresponding to that 0.000040 K.

You need another trick. Let”s turn off the lasers and bring out the

salad bowl and some Ping-Pong balls from last week.

This time let”s pretend we have a collapsible salad bowl, sort of

like those collapsible drinking cups you might take with you on a

trip. Let”s fill the bowl with a bunch of Ping-Pong balls, all

moving around at different speeds. The bowl is big enough to

keep them all inside the bowl. Now collapse the bowl a bit,

lowering the wall. Some of the balls, notably the faster ones,

will escape. The ones left behind will be slower. If our Ping-

Pong balls were atoms, they would keep on moving, banging into

each other. Some would be slowed down, others speeded up. If

we collapse the bowl some more, again the faster balls will

escape and the ones left behind will on average be moving even

more slowly. Slower atoms mean that we”ve lowered the

temperature.

A magnetic bottle is like the salad bowl, only the walls are the

magnetic field, which can be raised or lowered in strength.

Remember last week we said atoms are like tiny magnets? If we

goose up the current in our magnetic bottle, we can make the

magnetic field so strong that those atoms at 0.000040 K can”t get

out. It”s sort of like having a magnetic thermos bottle with the

atoms trapped inside. If we lower the strength of the magnetic

field, it”s like lowering the walls of our salad bowl and the fast

atoms can get out. As the faster atoms leave, the remaining

atoms are the slower ones and the temperature goes down below

0.000040 K. The UCOL Web site has a demo where you can

raise and lower the walls (strength of the field) and see how the

number of slower atoms changes, depending on how fast and

how far you raise or lower the wall.

In Boulder, Colorado in 1995, Eric Cornell of NIST and Carl

Wieman of UCOL used laser cooling followed by magnetic

cooling to cool rubidium atoms. (Rubidium, instead of sodium,

was chosen for its optical and magnetic properties.) They

cooled these suckers all the way down to less than a millionth of

a degree above Absolute Zero and that”s when Bose and Einstein

would have been proud. The rubidium atoms condensed into this

superatom or BEC. In a BEC, every atom is the same. This

may not sound exciting to you but, in physics, the creation of a

BEC is considered one of the greatest achievements of the 20th

century.

When I say the atoms are the same, I mean they all are in the

same quantum mechanical state. It”s not easy to explain, or to

understand, but let”s generalize a bit. In our normal everyday

world, atoms and other elementary particles hate to be in the

same state. I think we”ve mentioned in the past that photons are

one of the rare things that rather enjoy being the same state. In

fact, a BEC is very much like the photons in a laser. In a laser all

the photons are alike – the same color and the same phase. In

other words, they”re all marching in step. As a result, you have

very pure intense color and a laser beam spreads out very little,

as in a laser pointer. In the UCOL-NIST Bose-Einstein

condensate, the rubidium atoms are all the same. You can see a

BEC on the UCOL site. It”s sort of like a cherry pit, the BEC

atoms clustered in the pit while the normal atoms are like a cloud

around the BEC.

You might pose a profound question at this point. “You say that

the atoms in a BEC are like the photons in a laser. Does they

mean that a BEC is a laser?” Strictly, a laser only involves

photons of light. However, in 1997 at MIT, Wolfgang Ketterle”s

laboratory was the site of the first “atom laser”. The MIT

workers used gravity to encourage some atoms to trickle out of

one of these Bose-Einstein condensates. In the MIT atom laser,

the BEC atoms came out in pulses and spread out like ripples in a

pond when stones are thrown into it. Although it was an atom

laser, it didn”t stay in a confined beam like your red laser

pointer”s beam.

In 1999 in the NIST laboratory in Gaithersburg, Maryland,

members of Phillips” group and collaborators managed to cool

sodium atoms down to about 0.00000005 K, 50 billionths of a

degree above Absolute Zero! At that temperature almost all the

atoms were in the BEC. The NIST workers then lined up two

lasers, essentially facing each other, and shined them through the

magnetic bottle. They tuned the lasers to slightly different

frequencies. The BEC atoms absorbed photons from one laser

and emitted photons into the other. This caused a bunch of the

atoms to move in the same direction. In order to overcome the

magnetic field holding the atoms in the ”bottle”, the lasers were

pulsed by increasing the difference in frequencies. This gave an

added ”kick” in the same direction and out popped a clump of

atoms. Doing this pulsing very fast caused the clumps to

actually overlap and it”s almost a continuous beam of atoms,

similar to the continuous beam of photons in a laser pointer.

The NIST ”directional” atom laser beam did not spread out like

the MIT atom laser beam. The NIST beam was about as wide as

a human hair and zipped along at a clip of 6 centimeters, or a

couple of inches a second. Quite a bit less than the speed of light

from a laser! It would take a minute for the atom beam to travel

across my living room. I have my doubts that the beam would be

stable that long but was unable to find anything about how long

or if it can hang together. I think I”ll pause here and try to find

the Science article that first revealed NIST”s accomplishment.

……… I”m back after spending about two hours trying to

understand the paper. Wow! The paper was obviously not

written for the layman or even for this poor chemist, whose

quantum mechanical experience has been limited (to put it

mildly) and dates back to some 40-50 years ago. However, I did

learn that there are typically only about a million sodium atoms

in NIST”s typical BEC. That may sound like a lot of atoms but

it”s less than a millionth of a billionth of a gram of sodium! Not

only that, but their typical experiment lasted less than a

hundredth of a second! So, the little blobs of atoms didn”t get to

travel very far at all. Even so, they did get pictures of the blobs

and they moved as expected from the quantum mechanics.

I also found that they used a rotating magnetic field and had to

synchronize their laser pulses with the field to get those little

suckers out of the bottle. And remember last week spinning top

that levitated in midair over the magnetic ”hotplate”? I

mentioned that atoms can behave like tiny magnets. I may be all

wet in my interpretation of the paper, but it seems to me that to

get those sodium atoms out of the magnetic bottle they had to

change the spin of the atoms, possibly akin to stopping the top

from spinning. In the new spin state, the atoms aren”t trapped by

the magnetic field and go charging out of the ”bottle”. All in all,

that experiment took an awful lot more sophistication than just

cooling down to a few billionths of a degree above Absolute

Zero!

After reading the paper, I can see why Dr. Phillips didn”t talk

about the atom laser in his lecture in Washington. He hadn”t yet

figured out a clever way to demonstrate it to an audience in an

entertaining way such that a non-physicist like myself could be

conned into thinking he really understands it.

You”re probably saying, “Enough already, no more coldness!”

Ok, next week we”ll talk about heat!

Allen F. Bortrum