Description du projet
Un nouvel éclairage sur la dynamique hors équilibre des systèmes quantiques
Le concept d’équilibre thermodynamique est fondamental pour notre compréhension des systèmes à particules multiples en interaction. Cependant, d’énormes progrès expérimentaux ont également été accomplis récemment pour créer et sonder des systèmes quantiques contraints en forte interaction, loin de l’équilibre thermodynamique. Le principal objectif du projet ConsQuanDyn, financé par l’UE, consiste à développer de nouvelles méthodes théoriques pour étudier les systèmes quantiques contraints dans des régimes hors équilibre. L’exploration de la dynamique des systèmes quantiques contraints présente un grand intérêt, en particulier dans le domaine de l’informatique quantique, car ces systèmes peuvent nous aider à produire des bits quantiques topologiques et des mémoires quantiques autocorrectrices.
Objectif
Recently, tremendous progress has been made in exploring non-equilibrium dynamics of correlated quantum matter. The project ConsQuanDyn investigates the relaxation dynamics and the dynamical quantum phases, induced by parameter quenches or by periodic drive, in quantum matter with dynamically constrained excitations. Such constrained systems, which can be dual to gauge theories and host exotic topological order, have been recently realized in Rydberg quantum simulators and have a long tradition in condensed matter physics. However, it is an important open challenge to describe and understand their far-from-equilibrium dynamics. The central focus of the project ConsQuanDyn is to develop new concepts and new theoretical methods to study constrained quantum systems far from thermal equilibrium.
The project has three principal objectives each of which would represent a major contribution to the field:
(O1) To identify glassy dynamics and hydrodynamic transport in constrained quantum lattice gas, quantum dimer and fracton models.
(O2) To demonstrate information scrambling and entanglement growth in constrained Hilbert spaces.
(O3) To predict exotic dynamical quantum phases and to study their dynamical criticality both in quenched and in periodically driven constrained systems.
To successfully meet our ambitious objectives, my team and I will develop two complementary theoretical approaches based on exact numerical techniques and on non-equilibrium field theory. This allows us to understand fundamental dynamical properties of constrained quantum systems and to guide future experiments. Constrained quantum systems may realize topological quantum bits and self-correcting quantum memories. Due to the international effort of inventing new quantum technology, that inherently operates out of equilibrium, it is now the right time to foster a deep understanding of the non-equilibrium dynamics in constrained quantum matter, which is the central goal of the project ConsQuanDyn.
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ERC-STG - Starting GrantInstitution d’accueil
80333 Muenchen
Allemagne