Itoero Posted August 14, 2017 Posted August 14, 2017 (edited) 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, 2017 by Itoero
Strange Posted August 14, 2017 Posted August 14, 2017 The wikipedia page you mention does not mention entanglement. Where did you get the information that entanglement is involved?
Strange Posted August 14, 2017 Posted August 14, 2017 There is a more detailed description of the Kondo effect here: http://www.scholarpedia.org/article/Kondo_effect (But, again, no mention of entanglement.)
Itoero Posted August 14, 2017 Author Posted August 14, 2017 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
Strange Posted August 14, 2017 Posted August 14, 2017 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.
interested Posted August 14, 2017 Posted August 14, 2017 This link ref electron entanglement might be of interest on this thread https://www.sciencedaily.com/releases/2015/07/150701082831.htm
Itoero Posted August 15, 2017 Author Posted August 15, 2017 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.
Strange Posted August 15, 2017 Posted August 15, 2017 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.
Itoero Posted August 15, 2017 Author Posted August 15, 2017 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.
Strange Posted August 15, 2017 Posted August 15, 2017 (edited) 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, 2017 by Strange 1
Itoero Posted August 15, 2017 Author Posted August 15, 2017 (edited) 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, 2017 by Itoero
Itoero Posted September 6, 2017 Author Posted September 6, 2017 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
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