Effective dynamics of tracer particles in a dense Fermi gas
MATHPHYS ANALYSIS SEMINAR
Date
Thursday, February 11, 2021 16:15 - 17:15
Speaker
David Mitrouskas (IST Austria)
Location
Online via Zoom
Series
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Robert Seiringer
Contact
We consider the dynamics of few tracer particles in a d-dimensional box coupled to N fermions via a suitable pair interaction. After taking the large volume limit at positive Fermi momentum we consider the regime of high density, that is, large Fermi momentum. Assuming that the fermions are initially in the ground state of the kinetic energy, we show that a single tracer particle effectively decouples from the fermions and evolves like a free particle. We explain that this is based on a separation of scales between the tracer particle and the fast electrons at the Fermi surface. In the rest of the talk we discuss how the picture changes for more than one tracer particle and/or if one starts with an excited state for the fermions.