Unbounded growth of entanglement in models of many-body localization

Details Unbounded growth of entanglement in models of many-body localization Unbounded growth of entanglement in models of many-body localization

2012-02-24

arxiv.org/abs/1202.5532v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 2 figures

Scientific paper

An important and incompletely answered question is whether a closed quantum system of many interacting particles can be localized by disorder. The time evolution of an initially unentangled state is studied for a random-field XXZ Hamiltonian. Interactions induce a dramatic change in the propagation of entanglement and a smaller change in the propagation of particles. For even weak interactions, when the system is thought to be in a many-body localized phase, entanglement shows neither localized nor diffusive behavior but grows without limit in an infinite system: interactions act as a singular perturbation on the localized state with no interactions. The significance for proposed atomic experiments is that local measurements will show a large but non-thermal entropy in the many-body localized state, which develops over a diverging time scale as in glassy systems.

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