An Isaac Newton Institute Workshop

Graph Models of Mesoscopic Systems, Wave-Guides and Nano-Structures

Quantum Swimming

Author: Y. Avron (Technion)

Abstract

I shall describe a theory of quantum swimming developed jointly with Boris Gutkin and David Oaknin. The theory has the remarkable feature that swimming in a one dimensional Fermi sea at T=0 is quantized. The theory is closely related to quantum pumping and to adiabatic, time dependent scattering on graphs.