Treelike interactions and fast scrambling with cold atoms

Gregory Bentsen, Tomohiro Hashizume, Anton S. Buyskikh, Emily J. Davis, Andrew J. Daley, Steven S. Gubser, Monika Schleier-Smith

Research output: Contribution to journalArticle

Abstract

We propose an experimentally realizable quantum spin model that exhibits fast scrambling, based on nonlocal interactions that couple sites whose separation is a power of 2. By controlling the relative strengths of deterministic, nonrandom couplings, we can continuously tune from the linear geometry of a nearest-neighbor spin chain to an ultrametric geometry in which the effective distance between spins is governed by their positions on a tree graph. The transition in geometry can be observed in quench dynamics, and is furthermore manifest in calculations of the entanglement entropy. Between the linear and treelike regimes, we find a peak in entanglement and exponentially fast spreading of quantum information across the system. Our proposed implementation, harnessing photon-mediated interactions among cold atoms in an optical cavity, offers a test case for experimentally observing the emergent geometry of a quantum many-body system.

LanguageEnglish
Article number130601
Number of pages6
JournalPhysical Review Letters
Volume123
Issue number13
DOIs
Publication statusPublished - 23 Sep 2019

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geometry
atoms
interactions
entropy
cavities
photons

Keywords

  • quantum spin model
  • fast scrambling
  • nearest-neighbor spin chain
  • cold atoms

Cite this

Bentsen, G., Hashizume, T., Buyskikh, A. S., Davis, E. J., Daley, A. J., Gubser, S. S., & Schleier-Smith, M. (2019). Treelike interactions and fast scrambling with cold atoms. Physical Review Letters, 123(13), [130601]. https://doi.org/10.1103/PhysRevLett.123.130601
Bentsen, Gregory ; Hashizume, Tomohiro ; Buyskikh, Anton S. ; Davis, Emily J. ; Daley, Andrew J. ; Gubser, Steven S. ; Schleier-Smith, Monika. / Treelike interactions and fast scrambling with cold atoms. In: Physical Review Letters. 2019 ; Vol. 123, No. 13.
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Bentsen, G, Hashizume, T, Buyskikh, AS, Davis, EJ, Daley, AJ, Gubser, SS & Schleier-Smith, M 2019, 'Treelike interactions and fast scrambling with cold atoms' Physical Review Letters, vol. 123, no. 13, 130601. https://doi.org/10.1103/PhysRevLett.123.130601

Treelike interactions and fast scrambling with cold atoms. / Bentsen, Gregory; Hashizume, Tomohiro; Buyskikh, Anton S.; Davis, Emily J.; Daley, Andrew J.; Gubser, Steven S.; Schleier-Smith, Monika.

In: Physical Review Letters, Vol. 123, No. 13, 130601, 23.09.2019.

Research output: Contribution to journalArticle

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