Corpus ID: 236318163

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

  title={Linear growth of the entanglement entropy for quadratic Hamiltonians and arbitrary initial states},
  author={Giacomo De Palma and Lucas Hackl},
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 Lyapunov exponents of the corresponding classical dynamics. This paper generalizes the findings of [Bianchi et al., JHEP 2018, 25 (2018)], which proves the same result in the special case of Gaussian initial… Expand

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