Real Clear Politics
 
Real Clear Science

 
 
December 13, 2014  
 
Decade-Old Quantum Mechanics Problem  Solved
By _Kristian  Sjogren_ 
(http://www.realclearscience.com/authors/kristian_sjogren/) 


Editor's Note: This _article_ 
(http://sciencenordic.com/physicists-solve-decade-old-quantum-mechanics-problem)
  was originally published by our partner 
site  ScienceNordic. 
Danish scientists have solved the quantum mechanics problem that has been  
teasing them since the 1930s: how to calculate real life behaviour of  atoms.

 
The formula helps them work out how to optimise the transport of 
information  from one atom to another. This will be necessary if we are to one 
day 
construct  quantum computers. 
"The problem has been to calculate when atoms do one thing or another in 
the  real world. We have been able to calculate this in theory, but when we  
experiment and insert data into existing models, they fall apart,” says  
co-author Nicolaj Thomas Zinner, associate professor at the Department of  
Physics and Astronomy at Aarhus University. “We have finally solved that  
problem." 
The study was recently published in Nature Communications. 
Why some iron is magnetic while other is not 
The scientists’ discovery is best explained by an example: 
Imagine a long row of atoms like beads on a string. 
Every atom has what is known as a magnetic moment, that is to say a 
magnetic  direction or 'spin' in either an upward or downward direction. This 
is a  
fundamental property of all atoms. 
The atoms' overall magnetic moment determines whether the material  
constituted by the atoms is magnetic or not. 
    1.  If all the atoms the same direction the material is  ferromagnetic
    2.  If, on the other hand, every other atom points upwards and the 
other  downwards, the material is antiferromagnetic (the atoms arrange 
themselves in  a specific fashion so the material is not magnetic).
In this way, one piece of iron may be magnetic while another is not. The  
atoms' overall spin determines whether the iron is one type or the other. 
Makes new calculations possible 
Whether the atoms' magnetic moment points up or down is determined, among  
other things, by other atoms in the near vicinity. 
Let us return to the example of the long string of atoms. In this case each 
 atom's effect on each other determines the spin of neighbouring atoms. 
This may for example be that if one atom has an upward spin, its neighbour 
to  the left will have a downward spin. And this is where the scientists' 
problem  arise. 
Until now, scientists have been able to calculate how the entire string  
patterns will look if they turn the magnetic moment of one of the atoms from 
up  to down. 
They have been able to calculate how the information regarding the turned  
atom will spread to all the other assets and how they will then behave and 
in  which direction they would turn -- in which direction all the atoms would 
turn  if the scientists changed the direction of a single atom. 
New formula includes the landscape 
Performing the calculation is in itself quite some feat, and the formula 
used  in the calculation dates back to Nobel prizewinner Hans Bethe, one of 
the grand  old men of quantum mechanics. 
The problem for scientists has been that they were only able to calculate 
the  behaviour of atoms in an ideal world, in which the atoms lie in neat 
rows and  are unaffected by their surroundings. 
The surroundings do affect them, however, and it was not until the new 
Danish  formula that scientists were able to include them in their 
calculations. 
"For the first time, we're in a position to calculate the atoms' magnetic  
moment independently of each other in an atomic landscape. That's to say 
that  our formula includes both local conditions or open 'landscapes' for each  
individual atom in the calculation. It makes no difference whether the 
atoms are  sitting slightly up or slightly down or a bit closer to the atom to 
the right.  Everything's included in our model," says Zinner. 
Can optimise quantum computers 
The interesting thing about scientists now being able to include the atoms' 
 landscape in their calculations is that they can relatively easily alter 
the  landscape experimentally, i.e. change the atoms' physical surroundings. 
This means that scientists can now calculate how a landscape needs to look  
for the atoms to behave in a specific manner. 
This may be when they want all the magnetic moments to point in one 
direction  or if they want to optimise the transfer of the information passing 
from 
one end  of the landscape to another when one atom is reversed. 
"It's this kind of thing we are interested in being able to do with quantum 
 computers. We'd like to be able to construct quantum mechanical systems in 
which  information about the magnetic moment of atoms spreads rapidly and 
predictably  to other atoms, ultimately ending up with a recipient of some 
form or other. Our  formula shows how we can optimise the process," says 
Zinner. 
Study makes scientists wiser 
Anders S. Sørensen, professor of theoretical quantum optics at the Niels 
Bohr  Institute was not involved in the new Danish study but has read it and 
finds it  extremely interesting. 
"It's interesting because it enables us to calculate something we’ve never  
previously been able to calculate. The study has made us wiser, and it 
solves a  problem we have had great difficulty solving," says Sørensen. 
He points out that we shouldn't expect the new research to result in new  
mobile phone technology or anything along those lines just yet. 
"In the long run, though, it'll help us understand structure of materials 
in  nature and helpers design new materials when out in the future," says  
Sørensen

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