List All Events
Integrable time-dependent Hamiltonians
Emil Yuzbashyan - Rutgers University
Location: Hill 705
Date & time: Thursday, 06 December 2018 at 12:00PM - 1:00PM
Abstract: I will outline a way to make the parameters (e.g., the interaction strength) of certain quantum integrable models time-dependent without breaking their integrability. Interesting many-body models that emerge from this approach include a superconductor with the interaction strength inversely proportional to time, a Floquet BCS superconductor, and the problem of molecular production in an atomic Fermi gas swept through a Feshbach resonance as well as various models of multi-level Landau-Zener tunneling.
Amazingly, the non-stationary Schrodinger equation for all these models has a similar structure and is integrable with a similar technique as the famous Knizhnikov-Zamolodchikov equations of the Conformal Field Theory. I will use this to solve for their dynamics and, independently, discuss some interesting physics that emerges at large times.
PLEASE JOIN US