2010/11/22 by R. G. Unanyan, Michael Fleischhauer, Unanyan, R. G. +2 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph) #Quantum many-body systems #Spectroscopy and Quantum Chemical Studies #cond-mat.quant-gas #quant-ph
paper · pdf · doi:10.48550/arxiv.1011.4838
Introduction modified: new references added
openalex publication_date 2010/11/22 · arxiv created 2011/07/11 · arxiv updated 2011/07/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the long-time evolution of the bipartite entanglement in translationally invariant gapped harmonic lattice systems with finite-range interactions. A lower bound for the von Neumann entropy is derived in terms of the purity of the reduced density matrix. It is shown that starting from an initially Gaussian state the entanglement entropy increases at least linearly in time. This implies that the dynamics of gapped (non-critical) harmonic lattice systems cannot be efficiently simulated by algorithms based on matrix-product decompositions of the quantum state.