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  Effect of long-range hopping and interactions on entanglement dynamics and many-body localization

Singh, R., Moessner, R., & Roy, D. (2017). Effect of long-range hopping and interactions on entanglement dynamics and many-body localization. Physical Review B, 95(9): 094205. doi:10.1103/PhysRevB.95.094205.

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 Creators:
Singh, Rajeev1, Author
Moessner, Roderich2, Author           
Roy, Dibyendu1, Author
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1external, ou_persistent22              
2Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              

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 MPIPKS: Deterministic dynamics
 Abstract: We numerically investigate the dynamics of entanglement in a chain of spinless fermions with nonrandom but long-range hopping and interactions, and with random on-site energies. For moderate disorder in the absence of interactions, the chain hosts delocalized states at the top of the band which undergo a delocalization-localization transition with increasing disorder. We find an interesting regime in this noninteracting disordered chain where the long-time entanglement entropy scales as S(t) similar to ln t and the saturated entanglement entropy scales with system size L as S( L, t ->infinity) similar to lnL. We further study the interplay of long-range hopping and interactions on the growth of entanglement and the many-body localization (MBL) transition in this system. We develop an analogy to higher-dimensional short-range systems to compare and contrast such behavior with the physics of MBL in a higher dimension.

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Language(s): eng - English
 Dates: 2017-03-212017
 Publication Status: Issued
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Title: Physical Review B
  Abbreviation : Phys. Rev. B
Source Genre: Journal
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Publ. Info: Woodbury, NY : American Physical Society
Pages: - Volume / Issue: 95 (9) Sequence Number: 094205 Start / End Page: - Identifier: ISSN: 1098-0121
CoNE: https://pure.mpg.de/cone/journals/resource/954925225008