Asymptotic Quantum Many-Body Localization from Thermal Disorder |
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Authors: | Wojciech De Roeck François Huveneers |
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Institution: | 1. Instituut voor Theoretische Fysica, K.U. Leuven, Celestijnenlaan 200 D, 3001, Leuven, Belgium 2. CEREMADE, Université Paris-Dauphine, Place du Maréchal De Lattre De Tassigny, 75775, Paris Cedex 16, France
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Abstract: | 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 \({\beta \to 0}\) . More precisely, we define approximations \({\kappa_{\tau}(\beta)}\) to κ(β) by integrating the current-current autocorrelation function up to a large but finite time \({\tau}\) and we rigorously show that \({\beta^{-n}\kappa_{\beta^{-m}}(\beta)}\) vanishes as \({\beta \to 0}\) , for any \({n,m \in \mathbb{N}}\) such that m?n is sufficiently large. |
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