Linear growth of the entanglement entropy for quadratic Hamiltonians and arbitrary initial states

We prove that the entanglement entropy of any pure initial state of a bipartite bosonic quantum system grows linearly in time with respect to the dynamics induced by any unstable quadratic Hamiltonian. The growth rate does not depend on the initial state and is equal to the sum of certain Lyapuno...

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Bibliographic Details
Main Author: Giacomo De Palma, Lucas Hackl
Format: Article
Language:English
Published: SciPost 2022-01-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.12.1.021