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Preprint

Michael Schreiber , Sean S. Hodgman , Pranjal Bordia , Henrik P. Lüschen , Mark H. Fischer , Ronen Vosk , Ehud Altman , Ulrich Schneider , Immanuel Bloch

22 January 2015

We experimentally observe many-body localization of interacting fermions in a one-dimensional quasi-random optical lattice. We identify the many-body localization transition through the relaxation dynamics of an initially-prepared charge density wave. For sufficiently weak disorder the time evolution appears ergodic and thermalizing, erasing all remnants of the initial order. In contrast, above a critical disorder strength a significant portion of the initial ordering persists, thereby serving as an effective order parameter for localization. The stationary density wave order and the critical disorder value show a distinctive dependence on the interaction strength, in agreement with numerical simulations. We connect this dependence to the ubiquitous logarithmic growth of entanglement entropy characterizing the generic many-body localized phase.

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P W Anderson (1958)

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Toshiya Kinoshita, Trevor Wenger, David S. Weiss (2006)

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Vanja Dunjko, Maxim Olshanii, Marcos Rigol (2007)

http://arxiv.org/licenses/nonexclusive-distrib/1.0/