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:

2016	Sven Bachmann, Wojciech Dybalski and Pieter Naaijkens	Lieb-Robinson Bounds, Arveson Spectrum and Haag-Ruelle Scattering Theory for Gapped Quantum Spin Systems
2015	Ira Herbst and Juliane Rama	Instability of Pre-Existing Resonances Under a Small Constant Electric Field
2014	David Damanik, Jake Fillman and Anton Gorodetski	Continuum Schrödinger Operators Associated With Aperiodic Subshifts
2013	Dean Baskin	Strichartz Estimates on Asymptotically de Sitter Spaces
2012	Semyon Dyatlov	Asymptotic Distribution of Quasi-Normal Modes for Kerr–de Sitter Black Holes
2011	László Erdős and Antti Knowles	Quantum Diffusion and Delocalization for Band Matrices with General Distribution
2010	J.-M. Barbaroux, T. Chen, V. Vougalter and S. Vugalter	Quantitative Estimates on the Binding Energy for Hydrogen in Non-Relativistic QED
2009	D. Dolgopyat and B. Fayad	Unbounded Orbits for Semicircular Outer Billiard
2008	P. Bálint and I. P. Tóth	Exponential Decay of Correlations in Multi-Dimensional Dispersing Billiards
2007	Fabien Vignes-Tourneret	Renormalization of the Orientable Non-commutative Gross–Neveu Model
2006	Giuseppe Benfatto, Alessandro Giuliani and Vieri Mastropietro	Fermi Liquid Behavior in the 2D Hubbard Model at Low Temperatures
2005	Alexander V. Sobolev	Integrated Density of States for the Periodic Schrödinger Operator in Dimension Two
2004	Nandor Simanyi	Proof of the Ergodic Hypothesis for Typical Hard Ball Systems
2003	Alessandro Pizzo	One-particle (improper) States in Nelson’s Massless Model
2002	Lorenzo Bertini, Stella Brassesco, Paolo Buttà, and Errico Presutti	Stochastic Phase Field Equations: Existence and Uniqueness
2001	Galina Perelman	On the Formation of Singularities in Solutions of the Critical Nonlinear Schrödinger Equation
2000	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

For authors

Submission guidelines Ethics & disclosures Contact the journal Submit manuscript