Adyabatik dönen spin-momentum bağlı fermi gazlar

In this thesis we analyze the interplay of adiabatic rotation and Rashba spin-orbit coupling (SOC) throughout the BCS-BEC evolution of a harmonically trapped Fermi gas in two dimensions under the assumption that vortices are not excited. We fi rst study the non-interacting Fermi gas by taking the trapping potential into account via both semi-classical and exact quantum-mechanical approaches. We show that for high enough spin-orbit coupling strength or rotation, the gas forms a characteristic ring shaped annulus. We demonstrate that formation of such an intriguing annulus requires presence of both the spin-orbit coupling and rotation. We compute the critical rotation frequency for emergence of this density pro file and we predict that it survive at experimentally accessible fi nite temperatures. Then, by taking the interactions into account via the BCS mean- field approximation, we study the pair-breaking mechanism that is induced by rotation, i.e., the Coriolis e fect. We calculate the critical rotation frequencies for the onset of pair breaking in the superfluid phase and the destruction of superuidity as a function of interaction or SOC strength. Comparing full quantum mechanical Bogoliubovde Gennes calculations with local density approximation results, we show that the interplay between spin-orbit couping and rotation allows the possibility of creating either an isolated annulus of rigidly rotating normal particles that is disconnected from the central core of non-rotating superfluid pairs or an intermediate mediator phase where the superfluid pairs and normal particles coexist as a partially rotating gapless superfluid. We present extensive phase diagrams and find that a gapless superfluid phase may occupy a considerable region in the trap pro file. We also study all the limits in great detail providing analytic and semi-analytic results when possible. We note that the e ect of adiabatic rotation on a two dimensional interacting Fermi gas without SOC is not studied previously either. We provide an analytical expression for the critical rotation for the onset of pair breaking in the no SOC case.