Objectif
Understanding the universal features of the non-equilibrium dynamics
of strongly interacting one-dimensional quantum many-body systems
is one of the most challenging and intriguing aspect of the recent researches
in the broad domain of the quantum many-particle physics.
In this project one merges analytical with numerical methods in order to explore
the exotic behavior of interacting quantum models when brought out-of-equilibrium.
Indeed, although the equilibrium properties of quantum systems could be understood
in terms of standard approaches, away from the equilibrium a complete understanding is still missing.
In particular, the project aims to fill the lack of knowledge still present in this exciting domain,
pursuing two main ideas: (i) The development of new numerical methods based on tensor-network
techniques, so as to explore the post-quench dynamics in closed quantum systems;
with a special attention to the very recent continuous version of such algorithms.
(ii) A better theoretical understanding (strongly supported by the numerical approach in (i))
of the effects of symmetry breaking, interactions and integrability, in the non-equilibrium dynamics;
especially with respect to the non-equilibrium transport of energy and particle throughout the systems as well as
a universal description of the stationary states (both equilibrium and non-equilibrium) that
emerge at late times.
Beside its conceptual importance, a complete universal characterization of the non-equilibrium dynamics
of 1D quantum systems will have various application in quantum engineering, being a
crucial step forward to construct a quantum computer.
Champ scientifique
- natural sciencesphysical sciencesquantum physics
- natural sciencesphysical sciencesthermodynamics
- engineering and technologyelectrical engineering, electronic engineering, information engineeringelectronic engineeringcomputer hardwarequantum computers
- natural sciencesmathematicsapplied mathematicsnumerical analysis
Programme(s)
Régime de financement
MSCA-IF-EF-ST - Standard EFCoordinateur
OX1 2JD Oxford
Royaume-Uni