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Prof. Marko ลฝnidariฤ, University of Ljubljana, Slovenia
Tuesday 19 June 2018, 15:30-16:30
Interaction instability of localization in quasiperiodic systems
- ๐ค Speaker: Prof. Marko ลฝnidariฤ, University of Ljubljana, Slovenia
- ๐ Date & Time: Tuesday 19 June 2018, 15:30 - 16:30
- ๐ Venue: Ryle Seminar Room (930)
Abstract
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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