Entanglement entropy and localization in disordered quantum chains

Nicolas Laflorencie (1, 2)

1 LPT - Laboratoire de Physique Théorique
2 FFC - Fermions Fortement Corrélés (LPT)

This chapter addresses the question of quantum entanglement in disordered chains, focusing on the von-Neumann and Rényi entropies for three important classes of random systems: Anderson localized, infinite randomness criticality, and many-body localization (MBL). We review previous works, and also present new results for the entanglement entropy of random spin chains at low and high energy.

Mots clés: entropy: entanglement; energy: high; entanglement: quantum; spin: chain; localization; entropy: von Neumann; many-body problem

Domaines: Matière Condensée [cond-mat]; Physique Quantique [quant-ph]

Nicolas Laflorencie. Entanglement entropy and localization in disordered quantum chains. Entanglement in Spin Chains, , pp.61-87, 2022, ⟨10.1007/978-3-031-03998-0_4⟩. ⟨hal-03512736⟩