"It is not the strongest of tensor networks that survives, nor the most intelligent, but the one most responsive to change". Two related preprints today: On the origin of entanglement scaling arxiv.org/abs/2607.15124 and Implicit differentiation of tensor network algorithms arxiv.org/abs/2607.15030

Applications are now open for the four-month programme Mathematics of Many-Body Entanglement at the Isaac Newton Institute this fall: www.newton.ac.uk/event/mmb/

Chiral fermions on the lattice and the opening up of a gap in the 3450 model: MPOs come to the rescue, again arxiv.org/abs/2606.24713

The paperback!

An uncomfortable fact is that it is impossible to write down a translationally invariant Hamiltonian for a lattice many-body system in a classical and constant magnetic field. Infinite PEPS with gauge tensors can counteract this magnetic translation symmetry: arxiv.org/abs/2604.24574

A long-standing folklore result in the field of tensor networks now has a proof: arxiv.org/abs/2603.28349

Dualities relating equilibrium and non-equilibrium processes: MPOs are everywhere! arxiv.org/abs/2603.09928

Headlines fade, but the wavefunction flows on! Happy that the book "Why Nobody Understands Quantum" is available in the US as of today. www.panmacmillan.com/authors/fran...

Although 2025 was absolutely shocking in terms of the cruelty of powerful people, science can still be a refuge from it. A highlight for me was retreating to the mountains to teach at the Les Houches Summer School. Here are my lecture notes: arxiv.org/abs/2512.24390

One of my favourite tensor-network diagrams keeps on giving (from arxiv.org/abs/2511.04674 ):

Perfect Particle Transmission through Duality Defects arxiv.org/abs/2510.26780 : manifestations on the lattice of one of the most intriguing results in conformal field theory.

The 2025 Nobel Prize in Physics, awarded for macroscopic quantum mechanical tunneling, is a perfect example of emergent phenomena in action. It’s also one of the key reasons we wrote our book www.panmacmillan.com/authors/fran... — because no other popular science book talks about this.

Gauging versus dualities: equivalent up to constant depth quantum circuits. arxiv.org/abs/2509.22051

The simpler the physics, the more non-simple the math: new insights into the structure of MPO symmetries arxiv.org/abs/2509.03600

Ground states in (topological) phases of quantum spin chains have unique dual descriptions in terms of much less entangled completely symmetry broken ones: a synergy of fusion category and physics. rdcu.be/eAVWm

Was fun to record a podcast for @intelligence2.bsky.social with the wonderful host Shini Somara on our book "Why nobody understands quantum physics": scientists and writers, unite! open.spotify.com/episode/6sBG...

Finally, a book that does justice to the hidden heroes of #quantum physics: Landau, Anderson, Wilson i.e., cond. mat. physics community. Symmetry breaking & renormalization, concepts which unite #physics. It includes key papers from many-body physics (see timeline). Looking forward to reading it!!

Happy to see our book "Why Nobody Understands Quantum Physics" published in English www.panmacmillan.com/authors/fran.... Unlike other popular science books, we explain quantum and its applications in the way working physicists use and understand them, without shying away from the many-body problem.