# Non-local propagation of correlations in long-range interacting quantum systems

@article{Richerme2014NonlocalPO,
title={Non-local propagation of correlations in long-range interacting quantum systems},
author={Philip Richerme and Zhe-Xuan Gong and Aaron C. E. Lee and Crystal Senko and Jacob W. Smith and Michael Foss-Feig and Spyridon Michalakis and Alexey V. Gorshkov and Christopher R. Monroe},
journal={Bulletin of the American Physical Society},
year={2014}
}
• Published 20 January 2014
• Physics
• Bulletin of the American Physical Society
The maximum speed with which information can propagate in a quantum many-body system directly affects how quickly disparate parts of the system can become correlated [1–4] and how difficult the system will be to describe numerically [5]. For systems with only short-range interactions, Lieb and Robinson derived a constant-velocity bound that limits correlations to within a linear effective light cone [6]. However, little is known about the propagation speed in systems with long-range…
One-dimensional quantum many body systems with long-range interactions
• Physics
Journal of Physics A: Mathematical and Theoretical
• 2019
The presence of algebraically decaying long-range interactions may alter the critical as well as topological behaviour of a quantum many-body systems. However, when the interaction decays at a faster
Universal scaling laws for correlation spreading in quantum systems with short- and long-range interactions
• Physics
Physical Review B
• 2018
We study the spreading of information in a wide class of quantum systems, with variable-range interactions. We show that, after a quench, it generally features a double structure, whose scaling laws
Area law of noncritical ground states in 1D long-range interacting systems
• Physics
Nature communications
• 2020
This work shows that for generic non-critical one-dimensional ground states with locally bounded Hamiltonians, the area law robustly holds without any corrections, even under long-range interactions, which guarantees an efficient description of ground states by the matrix-product state in experimentally relevant long- range systems, which justifies the density-matrix renormalization algorithm.
Nonlocal emergent hydrodynamics in a long-range quantum spin system
• Physics
• 2020
Generic short-range interacting quantum systems with a conserved quantity exhibit universal diffusive transport at late times. We show how this universality is replaced by a more general transport
Quasiparticle engineering and entanglement propagation in a quantum many-body system
• Physics
Nature
• 2014
First, the entanglement distributed by quasiparticles as they trace out light-cone-like wavefronts is observed, and second, using the ability to tune the interaction range in the system, information propagation is observed in an experimental regime where the effective-light-cone picture does not apply.
From few- to many-body quantum systems
• Physics
Quantum Science and Technology
• 2018
How many particles are necessary to make a quantum system many-body? To answer this question, we take as reference for the many-body limit a quantum system at half-filling and compare its properties
Origin of the slow growth of entanglement entropy in long-range interacting spin systems
• Physics
Physical Review Research
• 2020
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
A Speed Test for Ripples in a Quantum System
• Physics
Physics
• 2020
A re there limits on how fast a physical effect can propagate in a system? The answer to this fundamental question has far-reaching consequences for practically any dynamic system we want to use or
Asymmetric transport in long-range interacting chiral spin chains
Harnessing power-law interactions (1/r^\alpha1/rα) in a large variety of physical systems are increasing. We study the dynamics of chiral spin chains as a possible multi-directional quantum channel.
Violent relaxation in quantum fluids with long-range interactions.
• Physics
Physical review. E
• 2018
It is found that singular caustics that form during violent relaxation are regulated by interference effects in a universal way described by Thom's catastrophe theory applied to waves and this leads to emergent length scales and timescales not present in the classical problem.

## References

SHOWING 1-10 OF 25 REFERENCES
"J."
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)
Commun
• Math. Phys. 28, 251
• 1972
Commun
• Math. Phys. 265, 781
• 2006
Phys
• Rev. Lett. 111, 207202
• 2013
Phys
• Rev. Lett. 96, 136801
• 2006
Phys
• Rev. Lett. 98, 050405
• 2007
Commun
• Math. Phys. 265, 119
• 2006
Applied Physics B 66
• 181
• 1998
Phys
• Rev. Lett. 97, 050401
• 2006
Rev
• Mod. Phys. 82, 277
• 2010