Entanglement spreading in a many-body localized system

Arun Nanduri, Hyungwon Kim, David A. Huse

Research output: Contribution to journalArticle

62 Citations (Scopus)

Abstract

Motivated by the findings of logarithmic spreading of entanglement in a many-body localized system, we identify and untangle two factors contributing to the spreading of entanglement in the fully many-body localized phase, where all many-body eigenstates are localized. Performing full diagonalizations of an XXZ spin model with random longitudinal fields, we demonstrate a linear dependence of the spreading rate on the decay length (ξ) of the effective interaction between localized pseudospins (l-bits), which depends on the disorder strength, and on the final value of entanglement per spin (s), which primarily depends on the initial state. The entanglement entropy thus grows with time as ∼ξ×slogt, providing support for the phenomenology of many-body localized systems proposed by Huse and Oganesyan.

Original languageEnglish (US)
Article number064201
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume90
Issue number6
DOIs
StatePublished - Aug 14 2014

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Entropy
phenomenology
eigenvectors
disorders
entropy
decay
interactions

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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title = "Entanglement spreading in a many-body localized system",
abstract = "Motivated by the findings of logarithmic spreading of entanglement in a many-body localized system, we identify and untangle two factors contributing to the spreading of entanglement in the fully many-body localized phase, where all many-body eigenstates are localized. Performing full diagonalizations of an XXZ spin model with random longitudinal fields, we demonstrate a linear dependence of the spreading rate on the decay length (ξ) of the effective interaction between localized pseudospins (l-bits), which depends on the disorder strength, and on the final value of entanglement per spin (s), which primarily depends on the initial state. The entanglement entropy thus grows with time as ∼ξ×slogt, providing support for the phenomenology of many-body localized systems proposed by Huse and Oganesyan.",
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Entanglement spreading in a many-body localized system. / Nanduri, Arun; Kim, Hyungwon; Huse, David A.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 90, No. 6, 064201, 14.08.2014.

Research output: Contribution to journalArticle

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T1 - Entanglement spreading in a many-body localized system

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AU - Kim, Hyungwon

AU - Huse, David A.

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AB - Motivated by the findings of logarithmic spreading of entanglement in a many-body localized system, we identify and untangle two factors contributing to the spreading of entanglement in the fully many-body localized phase, where all many-body eigenstates are localized. Performing full diagonalizations of an XXZ spin model with random longitudinal fields, we demonstrate a linear dependence of the spreading rate on the decay length (ξ) of the effective interaction between localized pseudospins (l-bits), which depends on the disorder strength, and on the final value of entanglement per spin (s), which primarily depends on the initial state. The entanglement entropy thus grows with time as ∼ξ×slogt, providing support for the phenomenology of many-body localized systems proposed by Huse and Oganesyan.

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