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Article Dans Une Revue Communications on mathematical pysics Année : 2014

Asymptotic Quantum Many-Body Localization from Thermal Disorder

Résumé

We consider a quantum lattice system with infinite-dimensional on-site Hilbert space, very similar to the Bose-Hubbard model. We investigate many-body localization in this model, induced by thermal fluctuations rather than disorder in the Hamiltonian. We provide evidence that the Green-Kubo conductivity κ(β), defined as the time-integrated current autocorrelation function, decays faster than any polynomial in the inverse temperature β as β → 0. More precisely, we define approximations κτ (β) to κ(β) by integrating the current-current autocorrelation function up to a large but finite time τ and we rigorously show that β−nκβ−m (β) vanishes as β → 0, for any n,m ∈ N such that m − n is sufficiently large.
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Dates et versions

hal-01069768 , version 1 (31-12-2014)

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Wojciech de Roeck, François Huveneers. Asymptotic Quantum Many-Body Localization from Thermal Disorder. Communications on mathematical pysics, 2014, 332 (3), pp.1017-1082. ⟨10.1007/s00220-014-2116-8⟩. ⟨hal-01069768⟩
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