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

• 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

• express the potential strength in terms of a dimensionless parameter, which turns out to be the critical parameter governing the sudden quench process (Section 2.2). We then determine the one-fermion structures of the systems in the absence or presence of the perturbation, and compute the many-body

• results obtained in the two applications (Section Conclusion). Results and Discussion 1 Work distribution and energy spectrum in a sudden quench We begin by reviewing some concepts regarding non-equilibrium thermodynamics in a suddenly quenched Fermi gas. Consider a many-fermion system in a well-defined