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

• Antonello Sindona,
• Michele Pisarra,
• Mario Gravina,
• Cristian Vacacela Gomez,
• Pierfrancesco Riccardi,
• Giovanni Falcone and
• Francesco Plastina

Beilstein J. Nanotechnol. 2015, 6, 755–766, doi:10.3762/bjnano.6.78

• 10.3762/bjnano.6.78 Abstract The sudden introduction of a local impurity in a Fermi sea leads to an anomalous disturbance of its quantum state that represents a local quench, leaving the system out of equilibrium and giving rise to the Anderson orthogonality catastrophe. The statistics of the work done

• thermodynamics; orthogonality catastrophe; sudden quench; ultra-cold Fermi gases; work distribution; Introduction Closed many-particle systems and their out-of-equilibrium dynamics after a quench have been attracting considerable interest over the past years, with particular attention to the brutal disturbance

• initial unperturbed one, as the number of particles approaches the thermodynamic limit. This orthogonality catastrophe predicted by Anderson [5] was first witnessed by the anomalous response of conduction electrons to core level ionization through X-ray absorption, and the subsequent emission of a core