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Mathematical Physics Seminar

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.

THERE WILL BE A BROWN BAG LUNCH FROM 1-2PM
PLEASE JOIN US

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530