AHP Prizes and Distinguished Papers

Each year a prize founded by Birkhäuser is awarded for the most remarkable paper published in the journal Annales Henri Poincaré. The winners of the AHP prize are selected by the Editorial Board. Since 2008, the AHP executive board decided to award also distinguished papers. All papers are freely accessible online for one year!

The AHP Prize 2017 was awarded to Johannes Bausch, Toby Cubitt, and Maris Ozols for the paper The Complexity of Translationally Invariant Spin Chains with Low Local Dimension .

The investigations of quantum Hamiltonian complexity belong to the hottest, but also to the most dffcult and challenging subjects of the contemporary quantum information theory.They concern mathematics, physics, computer science and even quantum technologies. In simple words the question is the following: assuming we have access to a universal quantum computer, how hard is it to compute the ground state energy, or the energy gap for a class of physically relevant Hamiltonians? Bausch, Cubitt and Ozols show rigorously that "estimating the ground state energy of a translationally invariant, nearest-neighbour Hamiltonian on a 1D spin chain" is extremely hard, and belong to the class of, so called, Quantum-Merlin-ArthurEXP complete problems, even for systems of low local dimension (spins of order ≈ 40).This is an improvement over the best previously known result by several orders of magnitude, and it leads to an amazing and surprising conclusion "that spin-glass-like frustration can occur in translation invariant quantum systems with a local dimension comparable to the smallest-known nontranslation invariant systems with similar behaviour."

Previous AHP Prize winners:


Sven Bachmann, Wojciech Dybalski and Pieter Naaijkens 

Lieb-Robinson Bounds, Arveson Spectrum and Haag-Ruelle Scattering Theory for Gapped Quantum Spin Systems


Ira Herbst and Juliane Rama

Instability of Pre-Existing Resonances Under a Small Constant Electric Field


David Damanik, Jake Fillman and Anton Gorodetski

Continuum Schrödinger Operators Associated With Aperiodic Subshifts


Dean Baskin

Strichartz Estimates on Asymptotically de Sitter Spaces


Semyon Dyatlov

Asymptotic Distribution of Quasi-Normal Modes for Kerr–de Sitter Black Holes


László Erdős and Antti Knowles

Quantum Diffusion and Delocalization for Band Matrices with General Distribution


J.-M. Barbaroux, T. Chen, V. Vougalter and S. Vugalter

Quantitative Estimates on the Binding Energy for Hydrogen in Non-Relativistic QED


D. Dolgopyat and B. Fayad

Unbounded Orbits for Semicircular Outer Billiard


P. Bálint and I. P. Tóth

Exponential Decay of Correlations in Multi-Dimensional Dispersing Billiards


Fabien Vignes-Tourneret

Renormalization of the Orientable Non-commutative Gross–Neveu Model


Giuseppe Benfatto, Alessandro Giuliani and Vieri Mastropietro

Fermi Liquid Behavior in the 2D Hubbard Model at Low Temperatures


Alexander V. Sobolev

Integrated Density of States for the Periodic Schrödinger Operator in Dimension Two


Nandor Simanyi

Proof of the Ergodic Hypothesis for Typical Hard Ball Systems


Alessandro Pizzo

One-particle (improper) States in Nelson’s Massless Model


Lorenzo Bertini, Stella Brassesco, Paolo Buttà, and Errico Presutti

Stochastic Phase Field Equations: Existence and Uniqueness


Galina Perelman

On the Formation of Singularities in Solutions of the Critical Nonlinear Schrödinger Equation


Michael T. Anderson and to Gueorgui Popov

On the Structure of Solutions to the Static Vacuum Einstein Equations , Invariant Tori, Effective Stability, and Quasimodes with Exponentially Small Error Terms