# Origin of the slow growth of entanglement entropy in long-range interacting spin systems

@article{Lerose2020OriginOT,
title={Origin of the slow growth of entanglement entropy in long-range interacting spin systems},
author={Alessio Lerose and Silvia Pappalardi},
journal={Physical Review Research},
year={2020}
}
• Published 14 November 2018
• Physics
• Physical Review Research
Long-range interactions allow far-distance quantum correlations to build up very fast. Nevertheless, numerical simulations demonstrated a dramatic slowdown of entanglement entropy growth after a sudden quench. In this work, we unveil the general mechanism underlying this counterintuitive phenomenon for $d$-dimensional quantum spin systems with slowly-decaying interactions. We demonstrate that the semiclassical rate of collective spin squeezing governs the dynamics of entanglement, leading to a…
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## References

SHOWING 1-10 OF 125 REFERENCES
Entanglement growth in quench dynamics with variable range interactions
• Physics
• 2013
Studying entanglement growth in quantum dynamics provides both insight into the underlying microscopic processes and information about the complexity of the quantum states, which is related to the
Universal slow growth of entanglement in interacting strongly disordered systems.
• Physics
Physical review letters
• 2013
This 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.
Spread of correlations in long-range interacting quantum systems.
• Physics
Physical review letters
• 2013
This work analyzes a local quantum quench in the long-range Ising model in a transverse field to identify three dynamical regimes: short-range-like with an emerging light cone for α>2, weakly long range for 1<α<2 without a clear light cone but with a finite propagation speed of almost all excitations, and fully nonlocal for α<1 with instantaneous transmission of correlations.
Entanglement dynamics after quantum quenches in generic integrable systems
• Physics
• 2017
The time evolution of the entanglement entropy in non-equilibrium quantum systems provides crucial information about the structure of the time-dependent state. For quantum quench protocols, by
Protected quasi-locality in quantum systems with long-range interactions
• Physics
• 2015
We study the out-of-equilibrium dynamics of quantum systems with long-range interactions. Two different models describing, respectively, lattice bosons, and spins are considered. Our study is based
Quantum correlations and entanglement in far-from-equilibrium spin systems
• Physics
• 2014
By applying complementary analytic and numerical methods, we investigate the dynamics of spin-$\frac{1}{2} XXZ$ models with variable-range interactions in arbitrary dimensions. The dynamics we
Unbounded growth of entanglement in models of many-body localization.
• Physics
Physical review letters
• 2012
The significance for proposed atomic experiments is that local measurements will show a large but nonthermal entropy in the many-body localized state, which develops slowly over a diverging time scale as in glassy systems.
Entanglement growth and correlation spreading with variable-range interactions in spin and fermionic tunneling models
• Physics
• 2016
We investigate the dynamics following a global parameter quench for two one-dimensional models with variable-range power-law interactions: a long-range transverse Ising model, which has recently been
Spreading of correlations in exactly-solvable quantum models with long-range interactions in arbitrary dimensions
• Physics
• 2016
We study the out-of-equilibrium dynamics induced by quantum quenches in quadratic Hamiltonians featuring both short- and long-range interactions. The spreading of correlations in the presence of
Breakdown of quasilocality in long-range quantum lattice models.
• Physics
Physical review letters
• 2013
This work studies the nonequilibrium dynamics of correlations in quantum lattice models in the presence of long-range interactions decaying asymptotically as a power law, and shows that this decay is not only sufficient but also necessary for supersonic propagation.