Thermalization of Interacting Fermions and Delocalization in Fock space

Details Thermalization of Interacting Fermions and Delocalization in Fock space Thermalization of Interacting Fermions and Delocalization in Fock space

2010-07-29

arxiv.org/abs/1007.5306v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures

Scientific paper

By means of exact diagonalization, we investigate the onset of 'eigenstate thermalization' and the crossover to ergodicity in a system of 1D fermions with increasing interaction. We show that the fluctuations in the expectation values of the momentum distribution from eigenstate to eigenstate decrease with increasing coupling strength and system size. It turns out that these fluctuations are proportional to the inverse participation ratio of eigenstates represented in the Fock basis. We demonstrate that eigenstate thermalization should set in even for vanishingly small perturbations in the thermodynamic limit.

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