Entanglement entropy of low-lying excitation in localized interacting system: Signature of Fock space delocalization

Abstract

The properties of the entanglement entropy (EE) of low-lying excitations in one-dimensional disordered interacting systems are studied. The ground state EE shows a clear signature of localization, while low-lying excitation shows a crossover from metallic behavior at short sample sizes to localized at longer length. The dependence of the crossover as function of interaction strength and sample length is studied using the density matrix renormalization group (DMRG). This behavior corresponds to the presence of the predicted many particle critical energy in the vicinity of the Fermi energy. Implications of these results to experiments are discussed.

5 pages, 5 figures some references were added

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• Many-body ground state localization and coexistence of localized and extended states in an interacting quasiperiodic system
• Thermalization Processes in Interacting Anderson Insulators
• On low eigevalues of the entanglement Hamiltonian, localization length, and rare regions in disordered interacting one-dimensional systems
• Spin correlation functions and quasiparticle decay
• Thermal transport in disordered one-dimensional spin chains
• Entanglement Entropy on the Cayley Tree