Dynamics and Thermodynamics of Many-Particle Cold Atom Systems
Abstract
The proposal focuses on understanding non-equilibrium quantum systems both isolated and coupled to the environment. Three major themes of the proposed research are (i) extension of phase space methods to strongly correlated quantum systems (spins, bosons, fermions), (ii) dynamics and thermodynamics of periodically driven (Floquet) systems and (iii) dynamics of slow degrees if freedom and their connection to quantum geometry and topology. The research will focus both on fundamental questions and applications to experimentally relevant setups predominantly in cold atoms and trapped ions. (i) Phase space methods proved to be very reliable and unique tool for analyzing quantum dynamics in weakly interacting systems or the systems near classical limit. They found major applications in quantum optics, quantum chemistry, and more recently dynamics of interacting bosons in cold atoms. Following newly developed ideas we are planning to extend these methods to strongly interacting systems by introducing extra (hidden) phase space dimensions. This should allow one to simulate quantum dynamics of interacting systems without doing standard mean-field type approximations. (ii) Floquet systems found many applications in recent experiments in cold atoms, strongly correlated materials, superconducting qubits and others.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 26, 2024
- Accession Number
- AD1230771
Entities
People
- Anatoli Polkovnikov
Organizations
- Boston University