# Information Scrambling with Conservation Laws

@article{KudlerFlam2022InformationSW, title={Information Scrambling with Conservation Laws}, author={Jonah Kudler-Flam and Raman Sohal and Laimei Nie}, journal={SciPost Physics}, year={2022} }

The delocalization or scrambling of quantum information has emerged as a central ingredient in the understanding of thermalization in isolated quantum many-body systems. Recently, significant progress has been made analytically by modeling non-integrable systems as periodically driven systems, lacking a Hamiltonian picture, while honest Hamiltonian dynamics are frequently limited to small system sizes due to computational constraints. In this paper, we address this by investigating the role of…

## 5 Citations

Information scrambling versus quantum revival through the lens of operator entanglement

- PhysicsJournal of High Energy Physics
- 2022

Abstract
In this paper, we look for signatures of quantum revivals in two-dimensional conformal field theories (2d CFTs) on a spatially compact manifold by using operator entanglement. It is…

Scrambling Dynamics and Out-of-Time Ordered Correlators in Quantum Many-Body Systems: a Tutorial

- Physics
- 2022

This tutorial article introduces the physics of quantum information scrambling in quantum manybody systems. The goals are to understand how to quantify the spreading of quantum information precisely…

Emergent symmetry in Brownian SYK models and charge dependent scrambling

- Physics, MathematicsJournal of High Energy Physics
- 2022

Abstract
In this work, we introduce a symmetry-based approach to study the scrambling and operator dynamics of Brownian SYK models at large finite N and in the infinite N limit. We compute the…

Out-of-time ordered correlators in kicked coupled tops and the role of conserved quantities in information scrambling

- Physics, Mathematics
- 2022

We investigate the operator growth dynamics in a bipartite system of kicked coupled tops with out-of-time ordered correlators (OTOC). We numerically study OTOCs for different types of initial…

Entangled multiplets and unusual spreading of quantum correlations in a continuously monitored tight-binding chain

- Physics
- 2022

We analyze the dynamics of entanglement in a paradigmatic noninteracting system subject to continuous monitoring of the local excitation densities. Recently, it was conjectured that the evolution of…

## References

SHOWING 1-10 OF 108 REFERENCES

Quantum information scrambling after a quantum quench

- PhysicsPhysical Review B
- 2019

How quantum information is scrambled in the global degrees of freedom of non-equilibrium many-body systems is a key question to understand local thermalization. Here we propose that the scaling of…

Entanglement scrambling in 2d conformal field theory

- Physics
- 2015

A bstractWe investigate how entanglement spreads in time-dependent states of a 1+1 dimensional conformal field theory (CFT). The results depend qualitatively on the value of the central charge. In…

Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws

- Physics
- 2017

Thermalization and scrambling are the subject of much recent study from the perspective of many-body quantum systems with locally bounded Hilbert spaces (`spin chains'), quantum field theory and…

Chaos in quantum channels

- Computer Science, Physics
- 2015

The butterfly effect in quantum systems implies the information-theoretic definition of scrambling, which shows that any input subsystem must have near vanishing mutual information with almost all partitions of the output.

Entanglement Entropies of Equilibrated Pure States in Quantum Many-Body Systems and Gravity

- Physics
- 2020

We develop a universal approximation for the Renyi entropies of a pure state at late times in a non-integrable many-body system, which macroscopically resembles an equilibrium density matrix. The…

Entanglement of local operators and the butterfly effect

- PhysicsPhysical Review Research
- 2021

We study the robustness of quantum and classical information to perturbations implemented by local operator insertions. We do this by computing multipartite entanglement measures in the Hilbert space…

Scrambling with conservation laws

- PhysicsJournal of High Energy Physics
- 2021

Abstract
In this article we discuss the impact of conservation laws, specifically U(1) charge conservation and energy conservation, on scrambling dynamics, especially on the approach to the late…

Quantum chaos in the Brownian SYK model with large finite N : OTOCs and tripartite information

- Physics, MathematicsJournal of High Energy Physics
- 2019

Abstract
We consider the Brownian SYK model of N interacting Majorana fermions, with random couplings that are taken to vary independently at each time. We study the out-of-time-ordered…

Diffusive Hydrodynamics of Out-of-Time-Ordered Correlators with Charge Conservation

- PhysicsPhysical Review X
- 2018

The scrambling of quantum information in closed many-body systems has received considerable recent attention. Two useful measures of scrambling have emerged: the spreading of initially-local…

Entanglement growth in diffusive systems

- Physics
- 2020

Entanglement helps in understanding diverse phenomena, going from quantifying complexity to classifying phases of matter. Here we study the influence of conservation laws on entanglement growth.…