Stark many-body localization

M. Schulz, C. A. Hooley, R. Moessner, F. Pollmann

Research output: Contribution to journalArticlepeer-review

161 Citations (Scopus)


We consider spinless fermions on a finite one-dimensional lattice, interacting via nearest-neighbor repulsion and subject to a strong electric field. In the noninteracting case, due to Wannier-Stark localization, the single-particle wave functions are exponentially localized even though the model has no quenched disorder. We show that this system remains localized in the presence of interactions and exhibits physics analogous to models of conventional many-body localization (MBL). In particular, the entanglement entropy grows logarithmically with time after a quench, albeit with a slightly different functional form from the MBL case, and the level statistics of the many-body energy spectrum are Poissonian. We moreover predict that a quench experiment starting from a charge-density wave state would show results similar to those of Schreiber et al. [Science 349, 842 (2015)].
Original languageEnglish
Article number040606
Number of pages5
JournalPhysical Review Letters
Issue number4
Early online date30 Jan 2019
Publication statusPublished - 1 Feb 2019


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