Interaction instability of localization in quasiperiodic systems

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• Prof. Marko Žnidarič, University of Ljubljana, Slovenia
• Tuesday 19 June 2018, 15:30-16:30
• Ryle Seminar Room (930) .

If you have a question about this talk, please contact Dr Ulrich Schneider.

For classical systems with a finite number of degrees of freedom KAM theorem guarantees stability of integrable systems for sufficiently small perturbations. How about quantum systems in the thermodynamic limit? I will present results showing that systems with quasiperiodic potential can behave completely differently than random ones, where dynamics smoothly changes. Namely, for small interactions there is a discontinuous change from localization to diffusion. Implications for possible many-body localization will be discussed. I will also briefly mention exact results for entanglement dynamics in a putative many-body localized system described by a so-called l-bit Hamiltonian, showing that the growth is not just logarithmic in time as believed so far.

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