Can the wave function of an electron be divided and trapped?

 

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The electron wave function. A canister of liquid helium inside the blue cylinder allowed researchers to experiment with tiny electron bubbles only 3.6 nanometers in diameter. The work suggests that the wave function of an electron can be split and parts of it trapped in smaller bubbles.

Electrons are elementary particles -- indivisible, unbreakable. But new research suggests the electron's quantum state -- the electron wave function -- can be separated into many parts. That has some strange implications for the theory of quantum mechanics.

New research by physicists from Brown University puts the profound strangeness of quantum mechanics in a nutshell -- or, more accurately, in a helium bubble.

Experiments led by Humphrey Maris, professor of physics at Brown, suggest that the quantum state of an electron -- the electron's wave function -- can be shattered into pieces and those pieces can be trapped in tiny bubbles of liquid helium. To be clear, the researchers are not saying that the electron can be broken apart. Electrons are elementary particles, indivisible and unbreakable. But what the researchers are saying is in some ways more bizarre.

In quantum mechanics, particles do not have a distinct position in space. Instead, they exist as a wave function, a probability distribution that includes all the possible locations where a particle might be found. Maris and his colleagues are suggesting that parts of that distribution can be separated and cordoned off from each other.

"We are trapping the chance of finding the electron, not pieces of the electron," Maris said. "It's a little like a lottery. When lottery tickets are sold, everyone who buys a ticket gets a piece of paper. So all these people are holding a chance and you can consider that the chances are spread all over the place. But there is only one prize -- one electron -- and where that prize will go is determined later."

If Maris's interpretation of his experimental findings is correct, it raises profound questions about the measurement process in quantum mechanics. In the traditional formulation of quantum mechanics, when a particle is measured -- meaning it is found to be in one particular location -- the wave function is said to collapse.

"The experiments we have performed indicate that the mere interaction of an electron with some larger physical system, such as a bath of liquid helium, does not constitute a measurement," Maris said. "The question then is: What does?"

And the fact that the wave function can be split into two or more bubbles is strange as well. If a detector finds the electron in one bubble, what happens to the other bubble?

"It really raises all kinds of interesting questions," Maris said.

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Story Source:

The above story is based on materials provided by Brown University. Note: Materials may be edited for content and length.

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Journal Reference:

1. W. Wei, Z. Xie, L. N. Cooper, G. M. Seidel, H. J. Maris. Study of Exotic Ions in Superfluid Helium and the Possible Fission of the Electron Wave Function. Journal of Low Temperature Physics, 2014; DOI: 10.1007/s10909-014-1224-3

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