Statistics of work and orthogonality catastrophe in discrete level systems: an application to fullerene molecules and ultra-cold trapped Fermi gases.

摘要: The sudden introduction of a local impurity in Fermi sea leads to an anomalous disturbance its quantum state that represents quench, leaving the system out equilibrium and giving rise Anderson orthogonality catastrophe. statistics work done describe energy fluctuations produced by providing accurate detailed insight into fundamental physics process. We present here numerical approach non-equilibrium distribution, supported applications phenomena occurring at very diverse ranges. One them is valence electron shake-up induced photo-ionization core fullerene molecule. other response ultra-cold gas trapped fermions embedded two-level atom excited fast pulse. Working low thermal energies, we detect primary role played many-particle states perturbed with one or two fermions. validate our through comparison some photoemission data on films previous analytical calculations harmonically gases.