Propagation of many-body localization in an Anderson insulator

Brighi P, Michailidis AA, Abanin DA, Serbyn M. 2022. Propagation of many-body localization in an Anderson insulator. Physical Review B. 105(22), L220203.


Journal Article | Published | English
Author
Brighi, PietroISTA ; Michailidis, Alexios A.; Abanin, Dmitry A.; Serbyn, MaksymISTA
Department
Abstract
Many-body localization (MBL) is an example of a dynamical phase of matter that avoids thermalization. While the MBL phase is robust to weak local perturbations, the fate of an MBL system coupled to a thermalizing quantum system that represents a “heat bath” is an open question that is actively investigated theoretically and experimentally. In this work, we consider the stability of an Anderson insulator with a finite density of particles interacting with a single mobile impurity—a small quantum bath. We give perturbative arguments that support the stability of localization in the strong interaction regime. Large-scale tensor network simulations of dynamics are employed to corroborate the presence of the localized phase and give quantitative predictions in the thermodynamic limit. We develop a phenomenological description of the dynamics in the strong interaction regime, and we demonstrate that the impurity effectively turns the Anderson insulator into an MBL phase, giving rise to nontrivial entanglement dynamics well captured by our phenomenology.
Publishing Year
Date Published
2022-06-27
Journal Title
Physical Review B
Acknowledgement
We acknowledge useful discussions with M. Ljubotina. P. B., A. M., and M. S. were supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant Agreement No. 850899). D.A. was supported by the Swiss National Science Foundation and by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant Agreement No. 864597). The development of parallel TEBD code was was supported by S. Elefante from the Scientific Computing (SciComp) that is part of Scientific Service Units (SSU) of IST Austria. Some of the computations were performed on the Baobab cluster of the University of Geneva.
Acknowledged SSUs
Volume
105
Issue
22
Article Number
L220203
ISSN
eISSN
IST-REx-ID

Cite this

Brighi P, Michailidis AA, Abanin DA, Serbyn M. Propagation of many-body localization in an Anderson insulator. Physical Review B. 2022;105(22). doi:10.1103/physrevb.105.l220203
Brighi, P., Michailidis, A. A., Abanin, D. A., & Serbyn, M. (2022). Propagation of many-body localization in an Anderson insulator. Physical Review B. American Physical Society. https://doi.org/10.1103/physrevb.105.l220203
Brighi, Pietro, Alexios A. Michailidis, Dmitry A. Abanin, and Maksym Serbyn. “Propagation of Many-Body Localization in an Anderson Insulator.” Physical Review B. American Physical Society, 2022. https://doi.org/10.1103/physrevb.105.l220203.
P. Brighi, A. A. Michailidis, D. A. Abanin, and M. Serbyn, “Propagation of many-body localization in an Anderson insulator,” Physical Review B, vol. 105, no. 22. American Physical Society, 2022.
Brighi P, Michailidis AA, Abanin DA, Serbyn M. 2022. Propagation of many-body localization in an Anderson insulator. Physical Review B. 105(22), L220203.
Brighi, Pietro, et al. “Propagation of Many-Body Localization in an Anderson Insulator.” Physical Review B, vol. 105, no. 22, L220203, American Physical Society, 2022, doi:10.1103/physrevb.105.l220203.
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