Construction and Universal Application of Entanglement-Erasing Partner States

Daniel Hetterich and Polina Matveeva
Phys. Rev. Lett. 123, 160503 – Published 14 October 2019

Abstract

We investigate the subadditivity of the bipartite entanglement entropy (EE) of many-particle states, represented by Slater determinants, with respect to single particle excitations. In this setting, subadditivity can be phrased as erasure of EE, i.e., as a relative decrease in EE when adding excitations to the quantum state. We identify sets of single particle states that yield zero EE if jointly excited. Such states we dub entanglement erasing partner states (EEPS). These EEPS reveal a mechanism that describes how to disentangle two subspaces of a Hilbert space by exciting additional states. We demonstrate this general finding in Anderson and many-body localized models. The studied concept of entanglement erasure further enables us to derive the EE of Slater determinants in the free tight binding model. Here, our analytical findings show surprisingly good agreement with numerical results of the interacting XXX chain. The described EEPS further impose a universal, i.e., model independent, erasure of EE for randomly excited Slater determinants. This feature allows us to compute many-particle EE by means of the associated single particle states and the filling ratio. This novel finding can be employed to drastically reduce the computational effort in free models.

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  • Received 11 February 2019

DOI:https://doi.org/10.1103/PhysRevLett.123.160503

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Daniel Hetterich1,2 and Polina Matveeva3,4

  • 1Institute for Theoretical Physics, University of Würzburg, 97074 Würzburg, Germany
  • 2Department of Physics, Technical University of München, 85748 Garching, Germany
  • 3Department of Physics and Research Center Optimas, Technical University of Kaiserslautern, 67663 Kaiserslautern, Germany
  • 4Department of Physics, Bar-Ilan University, Ramat Gan 52900, Israel

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Issue

Vol. 123, Iss. 16 — 18 October 2019

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