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Dynamics of many-body localisation in a translation invariant quantum glass model | | Merlijn van Horssen
; Emanuele Levi
; Juan P. Garrahan
; | | Date: |
26 May 2015 | | Abstract: | We study the real-time dynamics of a translationally invariant quantum spin
chain, based on the East kinetically constrained glass model, in search for
evidence of many-body localisation in the absence of disorder. Numerical
simulations indicate a change, controlled by a coupling parameter, from a
regime of fast relaxation---corresponding to thermalisation---to a regime of
very slow relaxation. This slowly relaxing regime is characterised by dynamical
features usually associated with non-ergodicity and many-body localisation
(MBL): memory of initial conditions, logarithmic growth of entanglement
entropy, and non-exponential decay of time-correlators. We show that slow
relaxation is a consequence of sensitivity to spatial fluctuations in the
initial state. While numerics indicate that certain relaxation timescales grow
markedly with size, our finite size results are consistent both with an MBL
transition, expected to only occur in disordered systems, or with a pronounced
quasi-MBL crossover. | | Source: | arXiv, 1505.7089 | | Services: | Forum | Review | PDF | Favorites | |
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