Many-body localisation of interacting fermions in a quasi-random optical lattice

1. Observation of many-body localization of interacting fermions in a quasi-random optical lattice. Authors: M. Schreiber, S. S. Hodgman, P. Bordia, Henrik P. Lüschen, M. H. Fischer, R. Vosk, E. Altman, U. Schneider and I. Bloch. Science 349,842(2015) 2. Coupling Identical 1D Many-Body Localized Systems. Authors: P. Bordia, H. P. Luschen, S. S. Hodgman, M. […]

Tilman Esslinger

Bo-Nan Jiang, Jun Qian, Wenli Wang +2 more

L. A. Toikka, Alexei Andreanov

The quantum motion of $N$ coupled kicked rotors is mapped to an interacting $N$-particle Anderson-Aubry-Andr$é$ tight-binding problem supporting many-body localised (MBL) phases. Interactions in configuration space are known to be insufficient for destroying Anderson localisation in a system in the MBL phase. The mapping we establish here predicts that a similar effect takes place in momentum space and determines the quantum dynamics of the coupled kicked rotors. Due to the boundedness of the Floquet quasi-energy spectrum there exists limitations on the interacting lattice models that can be mapped to quantum kicked rotors; in particular, no extensive observable can be mapped in the thermodynamic limit.

Observation of many-body localization of interacting fermions in a quasi-random optical lattice. Authors: Michael Schreiber, Sean S. Hodgman, Pranjal Bordia, Henrik P. Lu ?schen, Mark H. Fischer, Ronen Vosk, Ehud Altman, Ulrich Schneider, and Immanuel Bloch. arXiv:1501.05661 Recommended with a commentary by L. I. Glazman, Yale University. |View Commentary| DOI: 10.36471/JCCM_April_2015_03 https://doi.org/10.36471/JCCM_April_2015_03

Michael L. Wall, Lincoln D. Carr