🚀 Announcing XDiag: a fast, scalable, open-source package for exact diagonalization of quantum many-body systems! Features advanced algorithms, parallelization, a user-friendly Julia interface, and efficient C++ core. https://t.co/UlfDoPRZKR https://t.co/VGKaCFPULA
Sick result: a computationally uncomputable phase diagram. Such a simple construction.
“…no general algorithm exists to determine the phase diagrams even under the promise that the phase diagram is exceedingly simple.”
https://t.co/FfcjBpeqep
First paper of my PhD published: 2d quantum XY magnets with 100 Rydberg atoms!
The XY ferromagnet overcomes Hohenberg-Mermin-Wagner constraints by way of long-range dipolar interactions. Negative-temperature tricks let us see the XY antiferromagnet too. And other goodies...
@boundstate hmm I think I get what you mean. maybe Ori then? could go farther back to like, DK country, yoshi's island, crash bandicoot. somehow chrono trigger feels like this to me too
The quantum Fourier transform is an MPO of bond dimension of approximately 8: https://t.co/GqWDvYy1WF (if you classically reverse the output bits). This was observed in 2014, but we give detailed arguments why, then use it to classically compute "superfast" Fourier transforms.
@nick_farina I vote we go the astronomy route and have the Very Large Quantum Computer (VLCQ), Extremely Large QC (ELQC), Overwhelmingly Large QC (OLQC)
@omrilesser@DeVlugtIsaac You can still have geometric frustration by taking e.g. a triangular lattice, which can lead to interesting physics.
But you likely can't simulate phases of matter conjectured to have 'intrinsic sign problems' : topological order w/ chiral central charge, or non-abelian anyons
My alter ego Crackpotus Notorius wrote a paper on how to write papers. Since it got rejected from @viXra, I'm posting it here for now.
If you know any unusual paper that is not part of my collection, please let me know.
https://t.co/Rv7nmwsBHA
Celebrating #InternationalWomensDay remembering 2 incredible women in STEM, Angel and Cassidy Yang. Cassidy was my friend and (unofficial) peer mentor, being the only female upperclassman in physics in Avery house at @Caltech.
Join me by donating through the link below.
Many-Body Chaos in the Sachdev-Ye-Kitaev Model
A numerical technique allows the verification of analytical bounds for the SYK model and the investigation of chaotic behavior in generic quantum many-body systems of high dimensions https://t.co/rCidqpmiQG