Paolo Molignini, PhD

Are we in a socioeconomic phase transition? 🧲

I argue today’s inequality, #AI power concentration & digital rent extraction look like a system near a #TippingPoint.

If #Technofeudalism is one outcome… what’s the other?

medium.com/the-geopolit...

#Criticality #ComplexSystems #Inequality #Medium

Exact Diagonalization: The Most Brutal Method in Quantum Physics Sometimes You Need to Give a Quantum System a Full-Body Scan

When approximations fail, physicists reach for exact diagonalization: the full quantum “body scan.” No shortcuts. No guesses. Just the full spectrum — and results you can truly trust. ⚛️🧮💻

medium.com/science-spec...

#QuantumPhysics #QuantumMaterials #ComputationalPhysics #ExactDiagonalization #HPC

New paper in Physical Review E: increasing connectivity can destroy consensus. In bounded-confidence dynamics on unbiased networks we find a non-monotonic, re-entrant transition and critical slowdowns.
👉 journals.aps.org/pre/abstract...

#ComplexSystems #Sociophysics #StatPhys

Stability and Decay of Macrovortices in Rotating Bose Gases Beyond Mean Field We study the formation, stability, and decay of macrovortices in a rotating Bose gas confined by a Mexican-hat potential with a multiconfigurational ansatz. By systematically including correlations be...

New preprint out! 🌀
We study macrovortices in rotating Bose gases beyond mean field, revealing how correlations control their stability, decay, and lifetimes. Clear experimental signatures emerge.

arxiv.org/abs/2601.19987

#Quantum #Science #QuantumSimulation #Ultracold #Atoms #Research

Can We Build a Neutrino Laser? The Physics World Is Fiercely Debating Whether This Idea Could Be More Than Sci-Fi

🚀 Can we build a #neutrino #laser or is it pure sci-fi?

The AMO #physics community is debating if #superradiant neutrino emission could emerge from #radioactive #ultracold atoms. I unpack idea, criticism, & what might still work 👇
🔗 medium.com/p/67de55763ac4

#Quantum #Research #Science #Medium

So You Want to Secure a PhD position? Here Are The Top Mistakes To Avoid What I Learned After Reading Hundreds of Applications

Applying for a PhD? After reading hundreds of applications, I saw the same mistakes sink great candidates—generic cover letters, poor fit, overused AI, bad timing. I break it all down here 👇

medium.com/illumination...

#PhD #Academia #GradSchool #AcademicJobs

Quantum tech isn’t just quantum computing — it’s already in use! 🧠 Wearable quantum sensors for brain imaging, 🌍 cold-atom gravimeters mapping Earth, 🧭 GPS-free navigation without satellites. Real deployments, not hype: medium.com/science-spec...

#QuantumTech #QuantumSensing #Science #Research

🚀 New article! NASA’s Tech Readiness Levels (TRLs) reveal which quantum technologies are truly closest to real-world impact — and the answer isn’t quantum computing. Curious? Read more 👇

medium.com/science-spec...

#Quantum #TRL #QuantumTech #QuantumComputing #Science #DeepTech #Innovation #STEM

Quantum Fluids Go for a Spin Our latest research shows how ultracold dipolar atoms under rotation defy the “mean-field” picture

New outreach article out! 🌀

How rotating #ultracold #dipolar #atoms mimic neutron stars, quantum Hall systems & more — revealing exotic vortex lattices, clusters, and beyond-mean-field physics.

Check it out: medium.com/science-spec...

#Quantum #Physics #Research #Tech #STEM #Science #Astrophysics

New article! 🔬
Why do physicists switch from continuous wave functions to lattice models when studying solids? Crystals carve space into a quantum grid — and electrons follow!

Read “The Quantum Grid Behind the Materials”: medium.com/science-spec...

#Quantum #Physics #Science #Communication #Tech

Independence in probability is deeper than “no influence.” I break it down through relational, combinatorial, and geometric intuitions — a fresh look at why P(A∩B) = P(A)P(B).
Read here on #DataScienceCollective on #Medium: medium.com/data-science...
#DataScience #Probability #Stats #Math #Intuition

My happy place is coding a quantum algorithm in Python while listening to videogame soundtracks <3

The 2025 Nobel Prize in Physics proved that quantum mechanics isn’t just microscopic — entire circuits can tunnel and quantize! 🧠✨
Read my latest on how this discovery paved the way for today’s superconducting qubits ↓
medium.com/science-spec...
#QuantumPhysics #NobelPrize #Tech #Science #Quantum

🚀 50× GPU speedup with AETHER!
Huge thanks to Ábel Tóth & Balázs Bonifert — our multiconfigurational simulations now run ~50× faster than serial MCTDH-X! 🤯
Two fermions on a 128×128 grid in the plot. Computations taking a month on CPU now <1 day!
#QuantumSimulation #HPC #GPUComputing #AETHER

🌌 Matter can walk through walls — and that’s what makes the Sun shine! ☀️

Particles can tunnel through barriers like ghosts 👻 in a quantum world ruled by probabilities.

Read my latest #ScienceSpectrum story on #Medium 👇
medium.com/science-spec...

#Physics #Quantum #QuantumPhysics #Science #Tech

The Art of the Quantum Guess How a Single Principle is Guiding Most of Our Modern Studies in Quantum Physics

In quantum physics, guessing isn’t sloppy—it’s powerful! The variational principle turns intuition into precision, guiding everything from atomic models to quantum computing.
Read my #Medium latest story: The Art of the Quantum Guess ↓

medium.com/science-spec...

#Quantum #QuantumPhysics #Science

A single curve can reveal everything about your classifier 📈 In my latest story, I show how the ROC curve turns complex ML comparisons into clear insight — from logistic regression to random forests 🔍
👉 medium.com/data-science...

#DataScience #MachineLearning #Medium #Science #Python #Programming

Wrapped up #BEC2025 in Sant Feliu de Guíxols 🌊—an inspiring week of world-class #AMOphysics. Grateful to present our work on long-range quantum gases with #MCTDHX & #AETHER, and for the many stimulating discussions. Huge thanks to the organizers! 🙌 #QuantumSimulation #UltracoldAtoms

🚀 Playing Quantum Lego: Building Exotic Physics with Ultracold Atoms, in my latest #Medium article published in #ScienceSpectrum.

👉 Read the full article: medium.com/science-spec...

#QuantumPhysics #UltracoldAtoms #QuantumSimulation #ScienceCommunication #Research #Innovation #Technology #STEM

❄️ The coldest place in the Universe isn’t in space—it’s in labs on Earth! My new article explores how atoms are cooled to billionths of a degree, why it matters for quantum tech, and what makes each species special. 🚀 medium.com/me/stats/pos... medium.com/me/stats/pos...

#UltracoldAtoms #Quantum

A privilege to speak at Perspectives in Non-Hermitian Systems in San Sebastián last week—beautiful city & inspiring event! Shared new results on non-Hermitian quantum dynamics w/ Karin Nakanishi, Nicolò Defenu & R. Chitra. Thanks to the organizers! 🌊✨ #QuantumPhysics #NonHermitian #Research #Quantum

Proved 3 open conjectures by Hegselmann on ε-switches in the HK model ⚡:
1️⃣ Finitely many switches
2️⃣ Consistent dynamics between them
3️⃣ Invariant under affine transforms
Check out the full preprint:
arxiv.org/abs/2408.13535

#opiniondynamics #HKmodel #math #research #graphs #networks

A Long-Range Walk Between Order and Chaos How Dipolar Interactions Turn Quasicrystals Into Laboratories for Exotic Localization

🚀 New #ScienceSpectrum article on my latest #QuantumPhysics research! We show how long-range interactions reshape quasicrystals, creating exotic phases & self-bound states.
Read more 👉 medium.com/science-spec...

#QuantumSimulation #Physics #Research

Stability of quasicrystalline ultracold fermions to dipolar interactions The dynamics of ultracold fermions in one-dimensional quasiperiodic optical lattices under dipolar interactions is investigated, revealing that long-range interactions stabilize a coexistence phase of...

My latest work "Stability of quasicrystalline ultracold fermions to dipolar interactions" published in @apsphysics.bsky.social.
I explore how long-range interactions impact localized & extended quantum states in quasiperiodic structures: doi.org/10.1103/szdc...

#Physics #Quantum #QuantumSimulators

The Instruction Manual for Quantum Systems All You Need to Know About the Schrödinger Equation

Ever wondered what powers quantum tech under the hood? It’s all in the Schrödinger equation — elegant, complex, and beautiful. I break it down in my latest #Medium story 👇
🔗 medium.com/science-spec...

#Quantum #Physics #ScienceWriting #Schrodinger #ScienceSpectrum #QuantumComputing #Outreach #STEM

🔍 Can long-range interactions destroy localization?
Bastien Dumont explored this during his internship w/ me by adding a level-statistics module to EDITH, our ED code. Result: long-range terms push MBL systems toward chaos!

👏 Amazing work!

#MBL #QuantumChaos #EDITH #Physics #Internship #Research

🚨 New preprint! 🚨
My first foray into opinion dynamics is out:
“Nonmonotonic consensus transitions in bounded-confidence dynamics on unbiased networks”
📄 arxiv.org/abs/2507.14276
More links ≠ more consensus—sometimes the opposite!
#OpinionDynamics #arXiv #ComplexSystems

How To Make The Right Choice— According To Math The 37% Rule Simplifies Tough, Time-Consuming Selection Processes

Making a tough choice—like hiring, dating, or house hunting? The 37% Rule from probability says: skip the first third, then choose the next best. It’s surprisingly effective! Read my full story on #Medium 👉 medium.com/data-science...
#DataScience #DecisionMaking #Probability #OptimalStopping

🚨 New preprint! We show how to disentangle topological edge states and non-Hermitian skin modes in dissipative quantum systems w/ dynamical observables. A step toward robust control of open quantum devices!w/ F. Yang, M. Zelenayová & E. Bergholtz @stockholmuni.bsky.social
📄 arxiv.org/abs/2506.16308

A new feline joins the quantum race: Amazon & Caltech’s Ocelot chip uses “cat qubits” to tackle error correction with bosonic codes. Is it a game-changer for quantum hardware?

Read the #Medium story: medium.com/the-quantast...

#QuantumComputing #Quantum #CatQubits #Technology #ScienceCommunication