# Nonlinear entanglement growth in inhomogeneous space-times

@article{Kosior2020NonlinearEG, title={Nonlinear entanglement growth in inhomogeneous space-times}, author={Arkadiusz Kosior and Markus Heyl}, journal={arXiv: Statistical Mechanics}, year={2020} }

Entanglement has become central for the characterization of quantum matter both in and out of equilibrium. In a dynamical context entanglement exhibits universal linear temporal growth in generic systems, which stems from the underlying linear light cones as they occur in planar geometries. Inhomogeneous spacetimes can lead, however, to strongly bent trajectories. While such bent trajectories crucially impact correlation spreading and therefore the light-cone structure, it has remained elusive…

## 3 Citations

Time scaling of entanglement in integrable scale-invariant theories

- PhysicsPhysical Review Research
- 2022

M. Reza Mohammadi Mozaffar and Ali Mollabashi a Department of Physics, University of Guilan, P.O. Box 41335-1914, Rasht, Iran b School of Physics, Institute for Research in Fundamental Sciences…

Generalized-hydrodynamic approach to inhomogeneous quenches: correlations, entanglement and quantum effects

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2021

We give a pedagogical introduction to the generalized hydrodynamic approach to inhomogeneous quenches in integrable many-body quantum systems. We review recent applications of the theory, focusing in…

Fine structure of heating in a quasiperiodically driven critical quantum system

- Physics
- 2020

We study the heating dynamics of a generic one dimensional critical system when driven quasiperiodically. Specifically, we consider a Fibonacci drive sequence comprising the Hamiltonian of uniform…

## References

SHOWING 1-10 OF 126 REFERENCES

Coarse-grained dynamics of operator and state entanglement

- Physics
- 2018

We give a detailed theory for the leading coarse-grained dynamics of entanglement entropy of states and of operators in generic short-range interacting quantum many-body systems. This includes…

Quantum Fields in Curved Space

- Physics
- 1980

This book presents a comprehensive review of the subject of gravitational effects in quantum field theory. Although the treatment is general, special emphasis is given to the Hawking black hole…

Emergent black hole dynamics in critical Floquet systems

- PhysicsPhysical Review Research
- 2020

While driven interacting quantum matter is generically subject to heating and scrambling, certain classes of systems evade this paradigm. We study such an exceptional class in periodically driven…

Growth of mutual information in a quenched one-dimensional open quantum many-body system

- Physics
- 2020

We study the temporal evolution of the mutual information (MI) in a one-dimensional Kitaev chain, coupled to a fermionic Markovian bath, subsequent to a global quench of the chemical potential. In…

Lattice Bisognano-Wichmann modular Hamiltonian in critical quantum spin chains

- Physics
- 2020

We carry out a comprehensive comparison between the exact modular Hamiltonian and the lattice version of the Bisognano-Wichmann (BW) one in one-dimensional critical quantum spin chains. As a warm-up,…

Measuring von Neumann entanglement entropies without wave functions

- PhysicsNew Journal of Physics
- 2020

We present a method to measure the von Neumann entanglement entropy of ground states of quantum many-body systems which does not require access to the system wave function. The technique is based on…

New Journal of Physics 22

- 013044
- 2020

Phys

- Rev. Research 2, 023107
- 2020