Detection and characterization of many-body localization in central spin models

D. Hetterich, N. Yao, M. Serbyn, F. Pollmann, B. Trauzettel, Physical Review B 98 (2018).


Journal Article | Published | English
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Abstract
We analyze a disordered central spin model, where a central spin interacts equally with each spin in a periodic one-dimensional (1D) random-field Heisenberg chain. If the Heisenberg chain is initially in the many-body localized (MBL) phase, we find that the coupling to the central spin suffices to delocalize the chain for a substantial range of coupling strengths. We calculate the phase diagram of the model and identify the phase boundary between the MBL and ergodic phase. Within the localized phase, the central spin significantly enhances the rate of the logarithmic entanglement growth and its saturation value. We attribute the increase in entanglement entropy to a nonextensive enhancement of magnetization fluctuations induced by the central spin. Finally, we demonstrate that correlation functions of the central spin can be utilized to distinguish between MBL and ergodic phases of the 1D chain. Hence, we propose the use of a central spin as a possible experimental probe to identify the MBL phase.
Publishing Year
Date Published
2018-10-15
Journal Title
Physical Review B
Acknowledgement
F.P. acknowledges the sup- port of the DFG Research Unit FOR 1807 through Grants No. PO 1370/2-1 and No. TRR80, the Nanosystems Initiative Munich (NIM) by the German Excellence Initiative, and the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 771537). N.Y.Y. acknowledges support from the NSF (PHY-1654740), the ARO STIR program, and a Google research award.
Volume
98
Issue
16
Article Number
161122
IST-REx-ID

Cite this

Hetterich D, Yao N, Serbyn M, Pollmann F, Trauzettel B. Detection and characterization of many-body localization in central spin models. Physical Review B. 2018;98(16). doi:10.1103/PhysRevB.98.161122
Hetterich, D., Yao, N., Serbyn, M., Pollmann, F., & Trauzettel, B. (2018). Detection and characterization of many-body localization in central spin models. Physical Review B, 98(16). https://doi.org/10.1103/PhysRevB.98.161122
Hetterich, Daniel, Norman Yao, Maksym Serbyn, Frank Pollmann, and Björn Trauzettel. “Detection and Characterization of Many-Body Localization in Central Spin Models.” Physical Review B 98, no. 16 (2018). https://doi.org/10.1103/PhysRevB.98.161122.
D. Hetterich, N. Yao, M. Serbyn, F. Pollmann, and B. Trauzettel, “Detection and characterization of many-body localization in central spin models,” Physical Review B, vol. 98, no. 16, 2018.
Hetterich D, Yao N, Serbyn M, Pollmann F, Trauzettel B. 2018. Detection and characterization of many-body localization in central spin models. Physical Review B. 98(16).
Hetterich, Daniel, et al. “Detection and Characterization of Many-Body Localization in Central Spin Models.” Physical Review B, vol. 98, no. 16, 161122, American Physical Society, 2018, doi:10.1103/PhysRevB.98.161122.

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