(Poster) Geometric phases in adiabatically driven, interacting quantum dots out of equilibrium

HERNAN L. CALVO; JANINE SPLETTSTOESSER; MAARTEN R. WEGEWIJS

Tenerife

Otro; International Physics School on Fundamentals of Nanoelectronics; 2012

European Commission - Research and Innovation - Marie Curie Actions

Geometric phases arise in the quantum state of a system whose parameters are slowly varied along a closed contour, e.g. a quantum dot in a rotating magnetic field. In this work, we present a novel, generally applicable quantum transport theory for adiabatically driven, strongly interacting nanosystems characterized by non-trivial geometric phases in their dynamics. We account exactly for the local many-body interaction and applied non-linear voltages on a general type of quantum dot. We develop a perturbation theory in the tunnel coupling to the electrodes where the crucial ingredient is the time-dependent modulation of both the quantum energies (dynamical phases) as well as the wave functions (inducing geometric phases), both in the quantum dot and / or the reservoirs. We discuss the transport properties of such devices where the experimental signatures of geometric phases appear in the charge and spin pumping induced by the time-dependent parameters.