Sven Bachmann: Annales Henri Poincaré (AHP) Prize (2018)
Sven Bachmann is the winner of the Annales Henri Poincaré (AHP) prize.
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.
The AHP Prize 2016 was awarded to Sven Bachmann, Wojciech Dybalski and Pieter Naaijkens for the paper
Lieb-Robinson Bounds, Arveson Spectrum and Haag-Ruelle Scattering Theory for Gapped Quantum Spin Systems
The article constructs rigorously the scattering theory for gapped quantum spin models, showing that in such systems one may speak about "quasiparticles" which behave very similarly to usual particles satisfying the bosonic statistics. By extending the Haag-Ruelle theory for relativistic QFT to interacting homogeneous non-relativistic systems, the authors solve an important open problem in mathematical physics. The main difficulty, consisting of the absence of Einstein's causality, is overcome by using the Lieb-Robinson bound on the propagation speed and conditions on the shape of the one-particle spectrum.
The general construction, done using elegant and natural arguments, is illustrated on the example of the Ising model in transverse magnetic field. The techniques developed in the paper open new exciting perspectives in the study of nonequilibrium states of strongly coupled spin systems.
Details here: http://www.springer.com/birkhauser/physics/journal/23/PS2?detailsPage=so...