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  Thermalization of interacting fermions and delocalization in Fock space

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.

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 Creators:
Neuenhahn, Clemens1, Author
Marquardt, Florian1, 2, Author              
Affiliations:
1University of Erlangen Nuremberg, Inst Theoret Phys 2, D-91058 Erlangen, Germany, ou_persistent22              
2Marquardt Group, Associated Groups, Max Planck Institute for the Science of Light, Max Planck Society, ou_2364694              

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 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.

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Language(s): eng - English
 Dates: 2012-06-01
 Publication Status: Published in print
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 Identifiers: DOI: 10.1103/PhysRevE.85.060101
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Title: Physical Review E
  Other : Phys. Rev. E
Source Genre: Journal
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Publ. Info: Melville, NY : American Physical Society
Pages: - Volume / Issue: 85 (6) Sequence Number: 060101 Start / End Page: - Identifier: ISSN: 1539-3755
CoNE: https://pure.mpg.de/cone/journals/resource/954925225012