# Bounding entanglement spreading after a local quench

@article{Drumond2017BoundingES, title={Bounding entanglement spreading after a local quench}, author={Raphael Campos Drumond and Nat{\'a}lia Salom{\'e} M{\'o}ller}, journal={Physical Review A}, year={2017}, volume={95}, pages={062301} }

We consider the variation of von Neumann entropy of subsystem reduced states of general many- body lattice spin systems due to local quantum quenches. We obtain Lieb-Robinson-like bounds that are independent of the subsystem volume. The main assumptions are that the Hamiltonian satisfies a Lieb-Robinson bound and that the volume of spheres on the lattice grows at most exponentially with their radius. More specifically, the bound exponentially increases with time but exponentially decreases with…

## Figures from this paper

## 3 Citations

Natália Salomé Móller Local Quenches on Quantum Many Body Systems

- 2018

In this thesis we have studied local quenches on quantum many body systems. We have investigated the variation of von Neumann entropy of subsystem reduced states of general many-body lattice spin…

Shielding property for thermal equilibrium states in the quantum Ising model.

- Physics, MedicinePhysical review. E
- 2018

It is shown that Gibbs states of nonhomogeneous transverse Ising chains satisfy a shielding property, and that if a perturbation of the Hamiltonian parameters is done in one side of the lattice, then the other side is completely unchanged, with regard to both its equilibrium state and dynamics.

Cadeias de spin fora do equilíbrio: efeito cone de luz e retificação de correntes de spin e energia

- Physics
- 2019

O foco desta tese e investigar situacoes de nao-equilibrio geradas em uma cadeia de spin1/2, tratando-a como um sistema quântico fechado e como um sistema quântico aberto. No primeiro caso, tal…

## References

SHOWING 1-10 OF 25 REFERENCES

Lieb-Robinson bounds and the generation of correlations and topological quantum order.

- Physics, MedicinePhysical review letters
- 2006

The Lieb-Robinson bound states that local Hamiltonian evolution in nonrelativistic quantum mechanical theories gives rise to the notion of an effective light cone with exponentially decaying tails.…

Area laws for the entanglement entropy - a review

- Physics, Mathematics
- 2010

Physical interactions in quantum many-body systems are typically local: Individual constituents interact mainly with their few nearest neighbors. This locality of interactions is inherited by a decay…

General entanglement scaling laws from time evolution.

- Physics, MathematicsPhysical review letters
- 2006

We establish a general scaling law for the entanglement of a large class of ground states and dynamically evolving states of quantum spin chains: we show that the geometric entropy of a distinguished…

Many-Body Localization Implies that Eigenvectors are Matrix-Product States.

- Physics, MathematicsPhysical review letters
- 2015

This work establishes a novel link between dynamical properties--a vanishing group velocity and the absence of transport--with entanglement properties of individual eigenvectors, and proves that strong dynamical localization implies that all of its many-body eigenvesctors have clustering correlations.

Entanglement-enhanced spreading of correlations

- Physics
- 2015

Starting from a product initial state, equal-time correlations in nonrelativistic quantum lattice models propagate within a lightcone-like causal region. The presence of entanglement in the initial…

Light-cone-like spreading of correlations in a quantum many-body system

- Medicine, PhysicsNature
- 2012

By quenching a one-dimensional quantum gas in an optical lattice, it is revealed how quasiparticle pairs transport correlations with a finite velocity across the system, resulting in an effective light cone for the quantum dynamics.

Quasiparticle engineering and entanglement propagation in a quantum many-body system

- Physics, MedicineNature
- 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.

Spectral Gap and Exponential Decay of Correlations

- Physics, Mathematics
- 2005

We study the relation between the spectral gap above the ground state and the decay of the correlations in the ground state in quantum spin and fermion systems with short-range interactions on a wide…

The density-matrix renormalization group in the age of matrix product states

- Physics
- 2011

Abstract The density-matrix renormalization group method (DMRG) has established itself over the last decade as the leading method for the simulation of the statics and dynamics of one-dimensional…

Quantum many-body systems out of equilibrium

- Physics
- 2015

How do closed quantum many-body systems driven out of equilibrium eventually achieve equilibration? And how do these systems thermalize, given that they comprise so many degrees of freedom? Progress…