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… 

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References

SHOWING 1-10 OF 108 REFERENCES
Quantum information scrambling after a quantum quench
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
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
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
TLDR
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
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
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
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
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
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
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.
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