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

Abstract

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.

Authors:
 [1];  [1]; ORCiD logo [2];  [3]
  1. National Inst. of Standards and Technology (NIST), and Univ. of Maryland, College Park, MD (United States). Joint Quantum Inst.
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Center for Nanophase Materials Science (CNMS)
  3. Northeastern Univ., Boston, MA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
OSTI Identifier:
1606862
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 100; Journal Issue: 24; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Lundgren, Rex, Liu, Fangli, Laurell, Pontus Bengt Johan, and Fiete, Gregory A. Momentum-space entanglement after a quench in one-dimensional disordered fermionic systems. United States: N. p., 2019. Web. https://doi.org/10.1103/PhysRevB.100.241108.
Lundgren, Rex, Liu, Fangli, Laurell, Pontus Bengt Johan, & Fiete, Gregory A. Momentum-space entanglement after a quench in one-dimensional disordered fermionic systems. United States. https://doi.org/10.1103/PhysRevB.100.241108
Lundgren, Rex, Liu, Fangli, Laurell, Pontus Bengt Johan, and Fiete, Gregory A. Fri . "Momentum-space entanglement after a quench in one-dimensional disordered fermionic systems". United States. https://doi.org/10.1103/PhysRevB.100.241108. https://www.osti.gov/servlets/purl/1606862.
@article{osti_1606862,
title = {Momentum-space entanglement after a quench in one-dimensional disordered fermionic systems},
author = {Lundgren, Rex and Liu, Fangli and Laurell, Pontus Bengt Johan and Fiete, Gregory A.},
abstractNote = {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.},
doi = {10.1103/PhysRevB.100.241108},
journal = {Physical Review B},
number = 24,
volume = 100,
place = {United States},
year = {2019},
month = {12}
}

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