2 ms·

Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors

2 points by westurner 2y ago

westurner 2y ago
"Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors" (2023) https://arxiv.org/abs/2301.11614 https://arxiv.org/abs/2301.11614 : > Abstract: Anyons are particles obeying statistics of neither bosons nor fermions. Non-Abelian anyons, whose exchanges are described by a non-Abelian group acting on a set of wave functions, are attracting a great attention because of possible applications to topological quantum computations. Braiding of non-Abelian anyons corresponds to quantum computations. The simplest non-Abelian anyons are Ising anyons which can be realized by Majorana fermions hosted by vortices or edges of topological superconductors, ν=5/2 quantum Hall states, spin liquids, and dense quark matter. While Ising anyons are insufficient for universal quantum computations, Fibonacci anyons present in ν=12/5 quantum Hall states can be used for universal quantum computations. Yang-Lee anyons are non-unitary counterparts of Fibonacci anyons. Another possibility of non-Abelian anyons (of bosonic origin) is given by vortex anyons, which are constructed from non-Abelian vortices supported by a non-Abelian first homotopy group, relevant for certain nematic liquid crystals, superfluid 3He, spinor Bose-Einstein condensates, and high density quark matter. Finally, there is a unique system admitting two types of non-Abelian anyons, Majorana fermions (Ising anyons) and non-Abelian vortex anyons. That is 3P2 superfluids (spin-triplet, p-wave paring of neutrons), expected to exist in neutron star interiors as the largest topological quantum matter in our universe.
- westurner 2y ago
  > nematic liquid crystals, - "Tunable entangled photon-pair generation in a liquid crystal" (2024) https://www.nature.com/articles/s41586-024-07543-5 https://www.nature.com/articles/s41586-024-07543-5 .. https://news.ycombinator.com/item?id=40815388 https://news.ycombinator.com/item?id=40815388 .. SPDC entangled photon generation with nematic liquid crystal NewsArticle: "A liquid crystal source of photon pairs" (2024) https://www.sciencedaily.com/releases/2024/06/240614141916.htm https://www.sciencedaily.com/releases/2024/06/240614141916.h...
steve_gh 2y ago
Sadly, despite a stem PhD, I have no way of assessing whether this is an April Fools submission or not. I recognise some of the words in the abstract, like 'non-Abelian', but that's it. Maybe it's time to retire.
- westurner 2y ago
  It is not a joke. Topological anyons are the real deal, someday. This is an article I found while preparing a comment about superfluid quantum gravity; https://www.reddit.com/r/AskPhysics/comments/1iqvxn0/comment/mkzemak/?context=3 https://www.reddit.com/r/AskPhysics/comments/1iqvxn0/comment... I was collecting relevant articles and found this one. TIL about the connection between superfluid quantum gravity, supersolid spin nematic crystals, and spin-nematic liquid crystals (LCDs,) for waveguiding entangled photons. And also TIL about anyons in neutron stars, which are typically or always the impetus for black holes. And also, hey, "3He" again.

2 points by westurner 2y ago

"Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors" (2023) https://arxiv.org/abs/2301.11614 https://arxiv.org/abs/2301.11614 : > Abstract: Anyons are particles obeying statistics of neither bosons nor fermions. Non-Abelian anyons, whose exchanges are described by a non-Abelian group acting on a set of wave functions, are attracting a great attention because of possible applications to topological quantum computations. Braiding of non-Abelian anyons corresponds to quantum computations. The simplest non-Abelian anyons are Ising anyons which can be realized by Majorana fermions hosted by vortices or edges of topological superconductors, ν=5/2 quantum Hall states, spin liquids, and dense quark matter. While Ising anyons are insufficient for universal quantum computations, Fibonacci anyons present in ν=12/5 quantum Hall states can be used for universal quantum computations. Yang-Lee anyons are non-unitary counterparts of Fibonacci anyons. Another possibility of non-Abelian anyons (of bosonic origin) is given by vortex anyons, which are constructed from non-Abelian vortices supported by a non-Abelian first homotopy group, relevant for certain nematic liquid crystals, superfluid 3He, spinor Bose-Einstein condensates, and high density quark matter. Finally, there is a unique system admitting two types of non-Abelian anyons, Majorana fermions (Ising anyons) and non-Abelian vortex anyons. That is 3P2 superfluids (spin-triplet, p-wave paring of neutrons), expected to exist in neutron star interiors as the largest topological quantum matter in our universe.

westurner 2y ago
> nematic liquid crystals, - "Tunable entangled photon-pair generation in a liquid crystal" (2024) https://www.nature.com/articles/s41586-024-07543-5 https://www.nature.com/articles/s41586-024-07543-5 .. https://news.ycombinator.com/item?id=40815388 https://news.ycombinator.com/item?id=40815388 .. SPDC entangled photon generation with nematic liquid crystal NewsArticle: "A liquid crystal source of photon pairs" (2024) https://www.sciencedaily.com/releases/2024/06/240614141916.htm https://www.sciencedaily.com/releases/2024/06/240614141916.h...

steve_gh 2y ago

Sadly, despite a stem PhD, I have no way of assessing whether this is an April Fools submission or not. I recognise some of the words in the abstract, like 'non-Abelian', but that's it. Maybe it's time to retire.

westurner 2y ago
It is not a joke. Topological anyons are the real deal, someday. This is an article I found while preparing a comment about superfluid quantum gravity; https://www.reddit.com/r/AskPhysics/comments/1iqvxn0/comment/mkzemak/?context=3 https://www.reddit.com/r/AskPhysics/comments/1iqvxn0/comment... I was collecting relevant articles and found this one. TIL about the connection between superfluid quantum gravity, supersolid spin nematic crystals, and spin-nematic liquid crystals (LCDs,) for waveguiding entangled photons. And also TIL about anyons in neutron stars, which are typically or always the impetus for black holes. And also, hey, "3He" again.