Seminarium "Modeling of Complex Systems"

Abstract: A single impurity particle in an ultracold atomic gas is a prospective model for probing relaxation dynamics of an interacting out-of-equilibrium quantum system. I will focus on McGuire's model that describes an impurity that propagates in a one-dimensional gas of free fermions. It is the simplest and yet fundamental model capturing the peculiar physics and mathematics of the non-equilibrium processes. The integrability of the model allows one to obtain a complete nonperturbative solution and express physical quantities in terms of the Fredholm determinants. After a detailed analysis of these determinants, I will discuss several striking physical phenomena such as incomplete relaxation and momentum-dependent impurity statistics. The universal properties of such one-dimensional systems can be described by the nonlinear Luttinger liquid (nLL). I will explain the microscopic derivation of nLL from the form-factors and discuss the generalization to finite temperatures.

The seminar will start at 3:10pm on the Zoom platform,:Link to the meeting:Jacek Majewski is inviting you to a scheduled Zoom meeting.Topic: Seminar Modeling of Complex SystemsTime: Jan 20, 2022 03:05 PM WarsawJoin Zoom Meetinghttps://zoom.us/j/91235254992?pwd=bHp4bmhTL0hUemJqaGJKRVRIcWRrQT09Meeting ID: 912 3525 4992Passcode: 6XN5xeHowever, it will be also possible to follow the seminar in the usual lectrure room no. 1.03, starting at 3:10pm.