output
20012025
most citedEr2Ti2O7: Evidence of Order by Disorder in a Frustrated Antiferromagnet

236 citations

49 papers

quant-ph2025★ 8 cited

Exactly solvable models for universal operator growth

Oleksandr Gamayun, Murtaza Ali Mir, Oleg Lychkovskiy +1

Quantum observables of generic many-body systems exhibit a universal pattern of growth in the Krylov space of operators. This pattern becomes particularly manifest in the Lanczos b…

hep-th2024

Metaheuristic Generation of Brane Tilings

Yang-Hui He, Vishnu Jejjala, Tomás S. R. Silva

The combinatorics of dimer models on brane tilings describe a large class of four-dimensional gauge theories that afford quiver descriptions and have toric moduli s…

quant-ph2024★ 9 cited

Realizing string-net condensation: Fibonacci anyon braiding for universal gates and sampling chromatic polynomials

Zlatko K. Minev, Khadijeh Najafi, Swarnadeep Majumder +5

The remarkable complexity of the vacuum state of a topologically-ordered many-body quantum system encodes the character and intricate braiding interactions of its emergent particle…

math.HO2024★ 13 cited

A Triumvirate of AI Driven Theoretical Discovery

Yang-Hui He

Recent years have seen the dramatic rise of the usage of AI algorithms in pure mathematics and fundamental sciences such as theoretical physics. This is perhaps counter-intuitive s…

cond-mat.soft2024★ 11 cited

Non-reciprocal breathing solitons

Jonas Veenstra, Oleksandr Gamayun, Martin Brandenbourger +4

Breathing solitons consist of a fast beating wave within a compact envelope of stable shape and velocity. They can propagate and carry information and energy in a variety of contex…

math.GT2024

Learning 3-Manifold Triangulations

Francesco Costantino, Yang-Hui He, Elli Heyes +1

Real 3-manifold triangulations can be uniquely represented by isomorphism signatures. Databases of these isomorphism signatures are generated for a variety of 3-manifolds and knot…