Dresden 2020 – wissenschaftliches Programm
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DY 31.6: Vortrag
Mittwoch, 18. März 2020, 10:45–11:00, HÜL 186
Dynamics of strongly interacting systems: From Fock-space fragmentation to Many-Body Localization — •Giuseppe De Tomasi1, Daniel Hetterich2, Pablo Sala3, and Frank Pollmann4 — 1TUM Munich/Cambridge University — 2TUM Munich — 3TUM Munich — 4TUM Munich
We study the t-V disordered spinless fermionic chain in the strong coupling regime, t/V --> 0. Strong interactions highly hinder the dynamics of the model, fragmenting its Hilbert space into exponentially many blocks in system size. Macroscopically, these blocks can be characterized by the number of new degrees of freedom, which we refer to as movers. We focus on two limiting cases: Blocks with only one mover and the ones with a finite density of movers. The former many-particle block can be exactly mapped to a single-particle Anderson model with correlated disorder in one dimension. As a result, these eigenstates are always localized for any finite amount of disorder. The blocks with a finite density of movers, on the other side, show an MBL transition that is tuned by the disorder strength. Moreover, we provide numerical evidence that its ergodic phase is diffusive at weak disorder. Approaching the MBL transition, we observe sub-diffusive dynamics at finite time scales and find indications that this might be only a transient behavior before crossing over to diffusion.