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31 March (2021)
If you put two particles in a box and accumulate a histogram of their locations, this is a sampling of what you get if they are indistinguishable and with boson (red), classical (black) or fermion (blue) statistics:
You see the same thing... because single-particle observables typically lose their quantum correlations, and recover the classical result.
If you've got a keen eye and good reflexes, you may have seen something is happening to the pairs when looked at individually.
So let's dive into particles' intimacy and peek at couples in isolation, one pair at a time. This is what you see, then (same as above but without binning):
Do you see it? The red particles display the famous "bunching" properties of cluttering together. The blue display the opposite antibunching of avoiding each-other. The black don't care and are just randomly distributed according to their state in the box.
If it's not clear, you can look at half of the box: while you see 0, 1 or 2 black particles with the same probability, you see 2 red together (or absent, both on the other side) and 1 blue particle alone, with probability 0.5+32/(9π²), that's ~36% more so almost all the time!
Remember that when not looking pairwise, this eerie connection is washed out and doesn't survive in single-particle quantities. What happens between particles, remains between particles.
Of course, once you measure two-particles observables, you can plot these instead. This is a histogram of relative distances, with the celebrated property of indistinguishable particles: red are twice as likely as black to sit on top of each other while blue can never do so.
All this happens without interactions, this is a consequence of particles' indistinguishability knitted at the wavefunction level.
These animations were produced for my Quantum Physics lectures @physwlv. Students should have fun as I write deriving the probability distributions.
These animations were produced for my Quantum Physics lectures @physwlv. Students should have fun as I write deriving the probability distributions.
30 March (2021)
A tribute to human's natural aspiration for freedom and social proximity as expressed by HK @HKsaltimbank's masterpiece «Danser Encore», with inspirations from iconic movies from all times and styles, from Fritz Lang to Alex de la Iglesia @alexdelaIglesia: youtube.com/watch?v=HlT-vw…
Traduction à l'Espagnol du chef d'oeuvre de HK «Danser Encore» en hommage à la liberté individuelle et l'inclination naturelle de l'homme à se rassembler, chanter, danser et vivre, illustrée par des icônes du cinéma universel. @LE_GENERAL_FR @AnonymecitoyenS @collCartonJaune
@Etienne_Chouard @DubreuilhMarcel @VincLapierre @YLeBolloch @FactoNico @Max_wilander @nqtv (et autres gens qui, sur mon fil twitter, aiment la liberté et/ou la musique, l'Espagne, le cinéma, l'action, la danse, les autres, etc...)
28 March (2021)
Replying to @leGeneral_off and @LE_GENERAL_FR
Là on touche le fond...
23 March (2021)
Un nouveau Céline est né, dans la musique...
youtube.com/watch?v=SyBEMR…
youtube.com/watch?v=SyBEMR…
21 March (2021)
El Sin fábula de Elena, ahora con videoclip por los 30 años de Tres Cantos
youtube.com/watch?v=JSY7dT… @ayto3cantos @Tres_Cantos @Madridiario
youtube.com/watch?v=JSY7dT… @ayto3cantos @Tres_Cantos @Madridiario
10 March (2021)
He's got two fingers, that's a plane wave, not Fresnel's opinion of Newton's theory, relax.
Fisher is my top scientist in the list of those whose fame remains dramatically below what their achievements warrant. The connection under discussion is not related to him but to the field at large (see e.g., Biometrika). He, instead, turned it into a solid mathematical science.
Camilo wrote one of the best introductions I've read in any PhD thesis on the nature of light... tonight he'll give us a brief overview of the greatest technical story ever told: the nature of light. Join us and enlighten the discussion with your own comments, questions, etc.