Momentum-space entanglement after a quench in one-dimensional disordered fermionic systems

Lundgren, Rex; Liu, Fangli; Laurell, Pontus Bengt Johan; Fiete, Gregory A.

doi:10.1103/PhysRevB.100.241108

Title: Momentum-space entanglement after a quench in one-dimensional disordered fermionic systems

Journal Article · 13 December 2019 · Physical Review B

DOI: https://doi.org/10.1103/PhysRevB.100.241108 · OSTI ID:1606862

Lundgren, Rex ^[1]; Liu, Fangli ^[1];

^[2]; Fiete, Gregory A. ^[3]

National Inst. of Standards and Technology (NIST), and Univ. of Maryland, College Park, MD (United States). Joint Quantum Inst.
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Center for Nanophase Materials Science (CNMS)
Northeastern Univ., Boston, MA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

We numerically investigate the momentum-space entanglement entropy and entanglement spectrum of the random-dimer model and its generalizations, which circumvent Anderson localization, after a quench in the Hamiltonian parameters. The type of dynamics that occurs depends on whether or not the Fermi level of the initial state is near the energy of the delocalized states present in these models. If the Fermi level of the initial state is near the energy of the delocalized states, we observe an interesting slow logarithmiclike growth of the momentum-space entanglement entropy followed by an eventual saturation. Otherwise, the momentum-space entanglement entropy is found to rapidly saturate. Here, we also find that the momentum-space entanglement spectrum reveals the presence of delocalized states in these models for long times after the quench and the many-body entanglement gap decays logarithmically in time when the Fermi level is near the energy of the delocalized states.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1606862

Journal Information:: Physical Review B, Vol. 100, Issue 24; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 9 works

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