Strict, fractal bound for the ballistic transport at high temperature Image by Tomaž Prosen
Publish Date: 05.12.2016
Category: Outstanding research achievements
Tomaž Prosen from the Faculty of Mathematics and Physics of the University of Ljubljana was awarded prestigious European financing – an ERC Advanced Grant for the study of quantum transport, where the field of use is the possibility of studying ballistic (ideal) high-temperature transport.
Author: Tomaž Prosen
The imbalance of a many-body quantum system in one or two spatial dimensions and in situations when all incoherent processes (for example murmur or dissipation) will be studied within the framework of the mentioned grant. A mathematical theory of dynamic quantum phases will be designed with applications in the theory of quantum transport and nanoscale devices, which manipulate heat, information, charge or magnetization.
The steady-state setup of their setting represents a fundamental paradigm of mathematical statistical physics, for which Tomaž Prosen gave the first explicit solutions [Phys. Rev. Lett. 106, 217206 (2011); ibid. 107, 137201 (2011)], which in turn led to the solution of a long debated question on the rigorous possibility of ballistic transport at high temperature.
The OMNES (Opened multi-particle Non-Equilibrium Systems) project is based on three interconnected pathways. 1) They will develop a general framework for exact solutions of non-equilibrium integrable quantum many-body models and develop quantum integrability methods for non-equilibrium many-body density operators. The new concepts that will follow from these studies are new quasilocal conservation laws. 2) They will investigate the relevance of exact solutions in physics of generic systems and explore the problem of stability of local and quasilocal conserved quantities under generic integrability-breaking perturbations. 3) They will formulate and study the problem of quantum chaos in clean multi-particle systems.