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Journal Article

Stark Many-Body Localization


Schulz,  Maximilian
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;


Moessner,  Roderich
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Schulz, M., Hooley, C. A., Moessner, R., & Pollmann, F. (2019). Stark Many-Body Localization. Physical Review Letters, 122(4): 040606. doi:10.1103/PhysRevLett.122.040606.

Cite as: https://hdl.handle.net/21.11116/0000-0003-23B5-9
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 toWannier-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)].