Universal slow growth of entanglement in interacting strongly disordered systems

M. Serbyn, Z. Papić, D. Abanin, Physical Review Letters 110 (2013).


Journal Article | Published
Author
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Abstract
Recent numerical work by Bardarson, Pollmann, and Moore revealed a slow, logarithmic in time, growth of the entanglement entropy for initial product states in a putative many-body localized phase. We show that this surprising phenomenon results from the dephasing due to exponentially small interaction-induced corrections to the eigenenergies of different states. For weak interactions, we find that the entanglement entropy grows as ξln (Vt/), where V is the interaction strength, and ξ is the single-particle localization length. The saturated value of the entanglement entropy at long times is determined by the participation ratios of the initial state over the eigenstates of the subsystem. Our work shows that the logarithmic entanglement growth is a universal phenomenon characteristic of the many-body localized phase in any number of spatial dimensions, and reveals a broad hierarchy of dephasing time scales present in such a phase.
Publishing Year
Date Published
2013-06-28
Journal Title
Physical Review Letters
Acknowledgement
We would like to thank E. Altman and J. Moore for useful comments on the manuscript. This research was supported in part by Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Economic Development & Innovation. Z. P. was supported by DOE Grant No. DE-SC0002140. The simulations presented in this article were performed on computational resources supported by the High Performance Computing Center (PICSciE) at Princeton University.
Volume
110
Issue
26
IST-REx-ID

Cite this

Serbyn M, Papić Z, Abanin D. Universal slow growth of entanglement in interacting strongly disordered systems. Physical Review Letters. 2013;110(26). doi:10.1103/PhysRevLett.110.260601
Serbyn, M., Papić, Z., & Abanin, D. (2013). Universal slow growth of entanglement in interacting strongly disordered systems. Physical Review Letters, 110(26). https://doi.org/10.1103/PhysRevLett.110.260601
Serbyn, Maksym, Zlatko Papić, and Dmitry Abanin. “Universal Slow Growth of Entanglement in Interacting Strongly Disordered Systems.” Physical Review Letters 110, no. 26 (2013). https://doi.org/10.1103/PhysRevLett.110.260601.
M. Serbyn, Z. Papić, and D. Abanin, “Universal slow growth of entanglement in interacting strongly disordered systems,” Physical Review Letters, vol. 110, no. 26, 2013.
Serbyn M, Papić Z, Abanin D. 2013. Universal slow growth of entanglement in interacting strongly disordered systems. Physical Review Letters. 110(26).
Serbyn, Maksym, et al. “Universal Slow Growth of Entanglement in Interacting Strongly Disordered Systems.” Physical Review Letters, vol. 110, no. 26, American Physical Society, 2013, doi:10.1103/PhysRevLett.110.260601.

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