Effective quantum dynamics for magnetic fermions
We show how to derive an effective nonlinear dynamics, described by the Hartree-Fock equations, for fermionic quantum particles confined to a two-dimensional box and in presence of an external, uniform magnetic field. The derivation invokes the Dirac-Frenkel principle. We discuss the validity of this effective description with respect to the many-body Schr"odinger dynamics for small times and for weak interactions, and also in regards to the number of particles.
Authors
- Domenico Monaco (ORCID: https://orcid.org/0000-0001-6676-9646)
- M Ferrero
Institutions
- Ludwig-Maximilians-Universität München (DE)
- Sapienza University of Rome (IT)
Publication Details
- Journal
- Open Communications in Nonlinear Mathematical Physics
- Published
- 2024-09-17
- DOI
- https://doi.org/10.46298/ocnmp.13820
- Primary Topic
- Cold Atom Physics and Bose-Einstein Condensates
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Deutsche Forschungsgemeinschaft
- Sapienza Università di Roma
- Gruppo Nazionale per la Fisica Matematica