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Journal Article

Thermalization of interacting fermions and delocalization in Fock space

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Marquardt,  Florian
Marquardt Group, Associated Groups, Max Planck Institute for the Science of Light, Max Planck Society;
University of Erlangen Nuremberg, Inst Theoret Phys 2;

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Fulltext (public)

PhysRevE.85.060101.pdf
(Any fulltext), 526KB

Supplementary Material (public)

2012_Thermalization.png
(Supplementary material), 29KB

Citation

Neuenhahn, C., & Marquardt, F. (2012). Thermalization of interacting fermions and delocalization in Fock space. Physical Review E, 85(6): 060101. doi:10.1103/PhysRevE.85.060101.


Cite as: http://hdl.handle.net/21.11116/0000-0001-D75A-8
Abstract
We investigate the onset of "eigenstate thermalization" and the crossover to ergodicity in a system of one-dimensional fermions with increasing interaction. We analyze the fluctuations in the expectation values of most relevant few-body operators with respect to eigenstates. It turns out that these are intimately related to the inverse participation ratio of eigenstates displayed in the operator eigenbasis. Based on this observation, we find good evidence that eigenstate thermalization should set in even for vanishingly small perturbations in the thermodynamic limit.