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Posts by Giuseppe Di Giulio

Together with @pieterclaeys.bsky.social and Saskia Demulder we are putting together a special issue of J. Phys. A on "Krylov Complexity Across Scales: From Quantum Many-Body Systems to Black Holes". Let me know if you're interested in contributing! Details in this post!

5 months ago 1 0 0 0
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I am grateful to @haskoliislands.bsky.social for the hospitality. I spent last week in Rekyjavik, teaching Statistical Mechanics in person for some days, giving a talk and interacting with fantastic people! I also got the chance to explore a bit this spectacular country.

7 months ago 0 0 0 0
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Symmetry-Resolved Spread Complexity In this work, we investigate the impact of conserved charges on the dynamics of spread complexity of quantum states. Building on the notion of symmetry-resolved Krylov complexity [1], we extend the fr...

New preprint out!
arxiv.org/abs/2509.12992
We study the spread complexity growth of quantum states along eigenspaces induced by conserved charge sectors. We observe how the total spread non-trivially emerges from the spread of the fixed-charge components!

7 months ago 1 0 0 0

Pawel Caputa, Giuseppe Di Giulio, Tran Quang Loc
Symmetry-Resolved Spread Complexity
https://arxiv.org/abs/2509.12992

7 months ago 0 1 0 0
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Tipsy bats and perfect pasta: Ig Nobels celebrate ‘improbable’ research The annual awards are a celebration of weird but thought-provoking science.

IG Nobel Prize in #Physics 2025 to @mpipks.bsky.social researchers for elucidating the phase behaviour of cacio e pepe sauce. The work highlights how physics can also be applied to solve daily-life problems!

nature.com/articles/d41586-025-03045-0

7 months ago 44 16 1 5
Continuous majorization in quantum phase space for Wigner-positive states and proposals for Wigner-negative states In quantum resource theory, one is often interested in identifying which states serve as the best resources for particular quantum tasks. If a relative comparison between quantum states can be made, t...

Our paper has been published on Physical Review A!
In this work, we propose new notions of preorder in the space of bosonic quantum states. Our analysis includes also states with Wigner negativity.
doi.org/10.1103/w561...

7 months ago 2 0 0 0
2025 ICTP Dirac Medal Goes to Gravity Explorers

2025 ICTP Dirac Medal Goes to Gravity Explorers

2025 ICTP Dirac Medal Goes to Gravity Explorers: The award is attributed to four scientists who have turned black holes into windows onto the deepest laws of nature www.ictp.it/news/2025/8/...

8 months ago 17 8 0 2