# 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} }

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…

## 229 Citations

One-dimensional quantum many body systems with long-range interactions

- PhysicsJournal 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…

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- 2018

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Area law of noncritical ground states in 1D long-range interacting systems

- PhysicsNature 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

- PhysicsNature
- 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

- PhysicsQuantum 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

- PhysicsPhysical 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

- PhysicsPhysics
- 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

- PhysicsSciPost Physics Core
- 2022

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.

- PhysicsPhysical 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.

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