Dynamics in one dimension: from integrability and Luttinger liquids to inelastic neutron scattering and beyond

Date

Jan 12, 2012

Time

2:00 PM - 3:00 PM

Speaker

Jean-Sebastian Caux

Affiliation

Universiteit van Amsterdam

Language

en

Main Topic

Physik

Other Topics

Physik

Host

Condensed Matter Seminar

Description

Over the last few years, integrability has become a method of choice for the calculation of equilibrium dynamical correlation functions of systems such as spin chains and interacting atomic gases, its main strength being its ability to go beyond commonly-used low-energy effective theories. After a brief review, this talk will present some new results on simple and more elaborate observables relevant to experiments such as inelastic neutron scattering, resonant inelastic x-ray scattering and their equivalents in cold atomic systems. Finite-temperature effects will be discussed, as well as some new applications to (nonlinear) Luttinger liquid theory. For out-of-equilibrium dynamics, most importantly following a sudden change in one of the global parameters of a system (quantum quench), integrability will be shown to be able to offer reliable results on (re)equilibration phenomena with potential applications in quantum dots, quantum magnets and atomic gases, this approach having the unique advantage of being applicable to arbitrary time scales.

Last modified: Jan 12, 2012, 8:35:24 AM