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Regensburg 2016 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 64: Correlated Electrons: Nonequilibrium Quantum Many-Body Systems 1

TT 64.3: Vortrag

Donnerstag, 10. März 2016, 10:00–10:15, H22

Many-body localization dynamics from a one-particle perspective — •Talía Lezama Mergold Love, Soumya Bera, and Jens Hjorleifur Bardarson — Max Planck Institute for the Physics of Complex Systems, Dresden, Germany.

Systems exhibiting many-body localization (Anderson insulators in the presence of interactions) present a novel class of nonergodic phases of matter. The study of entanglement, in terms of both exact eigenstates and its time evolution after quenches, has been useful to reveal the salient signatures of these systems. Similarly to the entanglement entropy of exact eigenstates, the one-particle density matrix can be used as a tool to characterize the many-body localization transition with its eigenvalues showing a Fermi-liquid like step discontinuity in the localized phase. However, this analysis distinguishes the Fock-space structure of the eigenstates from the real space. Here, we present numerical evidence for dynamical signatures of the many-body localized phase for a closed fermionic system, using the one-particle density matrix and its time evolution after a global quench. We discuss and compare our results with the well-known logarithmic spreading of entanglement (a dynamical signature of this phase, absent in the Anderson insulator).

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