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i found many answers about spontaneous symmetry breaking here but i am not sure to see what is the standard definition of SSB. i am interested in the BCS theory and i would like to know how the standard définition of quantum SSB applies here. what is the remaining subgroup, the order parameter, what are the off-diagonal long range terms and so on? What do you think of the wiki article?

Qmechanic
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Naima
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    What don't you like/understand about the other answers? Also, it would help if you narrow down your question. – Norbert Schuch Feb 22 '19 at 15:57
  • The WP article is decent and sound, but you are also interested in the Higgs mechanism, operative in superconductivity, as well --it is the bulk of the phenomenon. Kibble's superb summary is hard to top. I am not convinced you appreciate the logically subversive implications of "quantum". These are all quantum systems. – Cosmas Zachos Feb 22 '19 at 20:29
  • To rectify the framing of your question, this answer smoothly subverts your implication that, somehow, the standard picture of SSB and the Higgs mechanism are not genuinely and truly summaries of the quantum situation. – Cosmas Zachos Feb 22 '19 at 20:36
  • there were two answers that defined SSB with entanglement. one is talking about long range effects. the other is about GHZ. i would like to find in a textbook something like "there is a quantum SSB iff ......." and theorems that prove that other definitions are équivalent. Ane the appearance or Cooper is due to SSB according to one of these definitions. – Naima Feb 22 '19 at 22:39
  • thank you for your comments. i found the relation between odlro and superfluidity in this answer https://physics.stackexchange.com/q/79846/ – Naima Feb 23 '19 at 09:26

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