The Kondo effect results from a relationship between electrons known as "entanglement" in which the quantum state of one electron is tied to those of neighboring electrons. This entanglement between electrons arises in a metal with an impurity, at a temperature close to 0 K..https://en.wikipedia.org/wiki/Kondo_effect

How can electrons become entangled (spin correlated ?) because of a low temperature?
 

Edited August 14, 20178 yr by Itoero

The wikipedia page you mention does not mention entanglement. Where did you get the information that entanglement is involved?

There is a more detailed description of the Kondo effect here: http://www.scholarpedia.org/article/Kondo_effect

(But, again, no mention of entanglement.)

Here are several papers, the first one explains it pretty nicely.

https://phys.org/news/2011-06-electrons-entangled.html#jCp                                   http://www.nature.com/articles/ncomms12442                               https://arxiv.org/pdf/1705.00750.pdf                                                                                                                                            https://arxiv.org/pdf/1503.05091.pdf

2 hours ago, Itoero said:

Here are several papers, the first one explains it pretty nicely.

Yep. And it seems to answer your original question.

This link ref electron entanglement might be of interest on this thread https://www.sciencedaily.com/releases/2015/07/150701082831.htm

20 hours ago, Strange said:

Yep. And it seems to answer your original question.

In the Kondo effect many conducting electrons become entangled at very low temperature...I did not find anything that explains this.

28 minutes ago, Itoero said:

In the Kondo effect many conducting electrons become entangled at very low temperature...I did not find anything that explains this.

It says that they don't (currently) understand how it happens. That is the answer to your question.

57 minutes ago, Strange said:

It says that they don't (currently) understand how it happens. That is the answer to your question.

Where did you read that?

A Princeton researcher and his international collaborators have used lasers to peek into the complex relationship between a single electron and its environment, a breakthrough that could aid the development of quantum computers.

The technique reveals how an isolated electron and its surroundings develop a relationship known as a Kondo state

I can't find the results of this technique.

 

39 minutes ago, Itoero said:

Where did you read that?

Well, it doesn't explicitly say that it isn't understood but it seems pretty clear that it isn't from phrases like "in part because understanding how a trapped electron becomes entangled with its environment" and "but could not provide information on how electrons developed such a relationship with their surroundings" and "to better understand how an electron gradually becomes entangled in this manner with its environment" all suggest that it is not yet well understood.

Quote

I can't find the results of this technique.

The paper is only available to subscribers. This may be the same or a very similar paper: https://arxiv.org/abs/1102.3982 (but I certainly don't understand it).

Another short article on the work here: https://physics.aps.org/synopsis-for/10.1103/PhysRevLett.106.107402

Edited August 15, 20178 yr by Strange

thx for the links! This is something interesting from the abstract of the arxiv.

"In stark contrast to transport experiments, absorption of a single photon leads to an abrupt change in the system Hamiltonian and a quantum quench of Kondo correlations" "We also show that the power-law exponents that determine the degree of orthogonality can be tuned by applying an external magnetic field which gradually turns the Kondo correlations off."

What's a quantum quench?      Conducting electrons in the Kondo state lose kinetic energy(resistivity increases) and gain correlation energy(entanglement increases or arises). A photon and a magnetic field give kinetic energy which inhibits or turns off the Kondo correlation.

Edited August 15, 20178 yr by Itoero

This paper studies the relationship potential kinetic correlation energy. it shows that kinetic energy modifies  correlation energy. It's called correlation kinetic energy.https://arxiv.org/ftp/cond-mat/papers/0207/0207469.pdf